98f955a85e
1. БАГ В HillSlideSim (phys.js):
- При reset() начальное состояние x=0, h=hStart, v=0.
- Первый step(): dropped=0 → v=0 → x не растёт → h не падает → тележка
навсегда стоит на вершине (бесконечный нуль). Анимация ничего не показывала.
- Фикс: reset() даёт начальный толчок (x = L*0.01) и v по энергии для
этой малой высоты падения. step() теперь корректно ускоряет тележку.
- Тест node: за 2.05 с тележка проходит 11.7 м, h падает с 4.9 м до 0.86 м,
v растёт с 1.4 до 9.0 м/с. Е_полн ≈ const.
2. §22 «Сила тяжести» — новый IV-2 «Падение на 4 планетах»:
- SVG 4-колоночная сцена, 4 шарика стартуют с одной высоты.
- Slider высоты 2..20 м, кнопки «Уронить» / «Сброс».
- Свободное падение по h(t) = h₀ − gt²/2 для каждой планеты (Земля 9.8,
Луна 1.6, Марс 3.7, Юпитер 24.8).
- Видно: Юпитер падает первым, Луна последней; для каждого сохраняется
время падения √(2h/g) и итоговая v = g·t.
- Live info: текущее t, статус каждого шарика (падает / упал за X с,
v = Y м/с).
3. §24 «Вес тела» — переработан IV-1 «Лифт с динамометром»:
- Было: 4 статичных схемы покой/падение/верх/вниз.
- Стало: динамический симулятор. Кабина лифта со стрелкой ускорения
снаружи, внутри — груз на пружинном динамометре с шкалой.
- 2 slider'а: масса 0.5..10 кг, ускорение −10..+10 м/с².
- 4 кнопки-пресета: Покой / Едет вверх / Едет вниз / Свободное падение.
- Формула P = m(g + a) считается в реальном времени.
- 4 режима с автоопределением: ПОКОЙ / НЕВЕСОМОСТЬ / ПЕРЕГРУЗКА /
ПОНИЖЕННЫЙ ВЕС с разной цветовой индикацией.
- Пружина динамометра реально растягивается/сжимается в зависимости
от P; указатель и шкала тоже.
Parse OK, smoke (15 экспортов CH3) OK.
824 lines
40 KiB
JavaScript
824 lines
40 KiB
JavaScript
// phys.js — модуль физических хелперов для учебника Физика 10
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// Экспорт в window.PHYS = { ... }
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(function(){
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'use strict';
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// === Стрелка вектора (2D) ===
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function drawArrow(x1, y1, x2, y2, color, width, headSize) {
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width = width || 2;
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headSize = headSize || 10;
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const dx = x2 - x1, dy = y2 - y1;
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const len = Math.sqrt(dx*dx + dy*dy);
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if (len < 1e-6) return '';
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const ux = dx / len, uy = dy / len;
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const px = -uy, py = ux;
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const h = headSize, w = headSize * 0.6;
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const bx = x2 - ux*h, by = y2 - uy*h;
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const lx = bx + px*w, ly = by + py*w;
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const rx = bx - px*w, ry = by - py*w;
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return `<line x1="${x1.toFixed(1)}" y1="${y1.toFixed(1)}" x2="${bx.toFixed(1)}" y2="${by.toFixed(1)}" stroke="${color}" stroke-width="${width}" stroke-linecap="round"/>`
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+ `<polygon points="${x2.toFixed(1)},${y2.toFixed(1)} ${lx.toFixed(1)},${ly.toFixed(1)} ${rx.toFixed(1)},${ry.toFixed(1)}" fill="${color}"/>`;
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}
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// === Линии электрического поля от точечного заряда ===
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function fieldLinesPointCharge(cx, cy, sign, scale, numLines) {
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numLines = numLines || 16;
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scale = scale || 80;
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let s = '';
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const color = sign > 0 ? '#dc2626' : '#2563eb';
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for (let i = 0; i < numLines; i++) {
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const a = 2 * Math.PI * i / numLines;
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const r1 = 18, r2 = scale;
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const x1 = cx + r1*Math.cos(a), y1 = cy + r1*Math.sin(a);
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const x2 = cx + r2*Math.cos(a), y2 = cy + r2*Math.sin(a);
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if (sign > 0) s += drawArrow(x1, y1, x2, y2, color, 1.4, 7);
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else s += drawArrow(x2, y2, x1, y1, color, 1.4, 7);
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}
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return s;
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}
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// === Обозначение заряда (кружок с +/-) ===
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function chargeMark(cx, cy, sign, r, label) {
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r = r || 14;
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const color = sign > 0 ? '#dc2626' : '#2563eb';
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const fill = sign > 0 ? '#fecaca' : '#bfdbfe';
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let s = '';
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s += `<circle cx="${cx}" cy="${cy}" r="${r}" fill="${fill}" stroke="${color}" stroke-width="2"/>`;
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if (sign > 0) {
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s += `<line x1="${cx-r*0.5}" y1="${cy}" x2="${cx+r*0.5}" y2="${cy}" stroke="${color}" stroke-width="2.5"/>`;
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s += `<line x1="${cx}" y1="${cy-r*0.5}" x2="${cx}" y2="${cy+r*0.5}" stroke="${color}" stroke-width="2.5"/>`;
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} else {
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s += `<line x1="${cx-r*0.5}" y1="${cy}" x2="${cx+r*0.5}" y2="${cy}" stroke="${color}" stroke-width="2.5"/>`;
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}
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if (label) {
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s += `<text x="${cx+r+4}" y="${cy+4}" font-family="Inter,sans-serif" font-size="13" font-weight="700" fill="${color}">${label}</text>`;
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}
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return s;
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}
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// === Магнитное поле сквозь экран (сетка крестиков или точек) ===
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function magneticFieldGrid(x0, y0, w, h, cols, rows, direction) {
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// direction: 'in' = крест (× — вошло в плоскость), 'out' = точка (• — вышло)
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let s = '';
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const dx = w / (cols - 1), dy = h / (rows - 1);
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const color = '#7c3aed';
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for (let i = 0; i < cols; i++) {
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for (let j = 0; j < rows; j++) {
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const cx = x0 + i * dx, cy = y0 + j * dy;
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s += `<circle cx="${cx}" cy="${cy}" r="6" fill="white" stroke="${color}" stroke-width="1.3"/>`;
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if (direction === 'in') {
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s += `<line x1="${cx-4}" y1="${cy-4}" x2="${cx+4}" y2="${cy+4}" stroke="${color}" stroke-width="1.5"/>`;
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s += `<line x1="${cx-4}" y1="${cy+4}" x2="${cx+4}" y2="${cy-4}" stroke="${color}" stroke-width="1.5"/>`;
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} else {
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s += `<circle cx="${cx}" cy="${cy}" r="2.2" fill="${color}"/>`;
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}
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}
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}
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return s;
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}
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// === Молекула газа (частица) ===
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function molecule(x, y, r, color) {
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r = r || 4;
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color = color || '#2563eb';
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return `<circle cx="${x.toFixed(1)}" cy="${y.toFixed(1)}" r="${r}" fill="${color}" stroke="#0f172a" stroke-width="0.6"/>`;
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}
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// === Симуляция газа (упругое столкновение со стенками) ===
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function createGasSim(opts) {
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opts = opts || {};
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const N = opts.N || 30;
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const W = opts.W || 320;
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const H = opts.H || 220;
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const baseSpeed = opts.speed || 60; // px/s
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const r = opts.r || 4;
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const particles = [];
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for (let i = 0; i < N; i++) {
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particles.push({
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x: r + Math.random() * (W - 2*r),
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y: r + Math.random() * (H - 2*r),
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vx: (Math.random() - 0.5) * 2 * baseSpeed,
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vy: (Math.random() - 0.5) * 2 * baseSpeed
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});
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}
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return {
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W: W, H: H, r: r, particles: particles,
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step(dt) {
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for (const p of particles) {
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p.x += p.vx * dt; p.y += p.vy * dt;
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if (p.x < r) { p.x = r; p.vx = -p.vx; }
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if (p.x > W - r) { p.x = W - r; p.vx = -p.vx; }
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if (p.y < r) { p.y = r; p.vy = -p.vy; }
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if (p.y > H - r) { p.y = H - r; p.vy = -p.vy; }
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}
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},
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render(color) {
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color = color || '#2563eb';
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return particles.map(p => molecule(p.x, p.y, r, color)).join('');
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},
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setSpeed(scale) {
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for (const p of particles) { p.vx *= scale; p.vy *= scale; }
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}
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};
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}
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// === Электрические схемы: компоненты ===
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// orientation: 'h' (горизонтально, по умолчанию) или 'v' (вертикально)
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function batteryEMF(x, y, EMF, orientation) {
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orientation = orientation || 'h';
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let s = '';
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if (orientation === 'h') {
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s += `<line x1="${x-3}" y1="${y-18}" x2="${x-3}" y2="${y+18}" stroke="#0f172a" stroke-width="2.5"/>`;
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s += `<line x1="${x+3}" y1="${y-9}" x2="${x+3}" y2="${y+9}" stroke="#0f172a" stroke-width="2.5"/>`;
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s += `<text x="${x-3}" y="${y-24}" text-anchor="middle" font-family="Inter,sans-serif" font-size="13" font-weight="700" fill="#0f172a">+</text>`;
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s += `<text x="${x+3}" y="${y-24}" text-anchor="middle" font-family="Inter,sans-serif" font-size="13" font-weight="700" fill="#0f172a">−</text>`;
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if (EMF !== undefined) s += `<text x="${x}" y="${y+34}" text-anchor="middle" font-family="JetBrains Mono,monospace" font-size="12" fill="#0f172a">ε = ${EMF}</text>`;
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} else {
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s += `<line x1="${x-18}" y1="${y-3}" x2="${x+18}" y2="${y-3}" stroke="#0f172a" stroke-width="2.5"/>`;
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s += `<line x1="${x-9}" y1="${y+3}" x2="${x+9}" y2="${y+3}" stroke="#0f172a" stroke-width="2.5"/>`;
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if (EMF !== undefined) s += `<text x="${x+24}" y="${y+4}" font-family="JetBrains Mono,monospace" font-size="12" fill="#0f172a">ε = ${EMF}</text>`;
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}
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return s;
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}
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function resistor(x, y, R, orientation) {
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orientation = orientation || 'h';
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let s = '';
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if (orientation === 'h') {
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s += `<rect x="${x-20}" y="${y-7}" width="40" height="14" fill="white" stroke="#0f172a" stroke-width="1.6"/>`;
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if (R !== undefined) s += `<text x="${x}" y="${y+25}" text-anchor="middle" font-family="JetBrains Mono,monospace" font-size="12" fill="#0f172a">R = ${R}</text>`;
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} else {
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s += `<rect x="${x-7}" y="${y-20}" width="14" height="40" fill="white" stroke="#0f172a" stroke-width="1.6"/>`;
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if (R !== undefined) s += `<text x="${x+18}" y="${y+4}" font-family="JetBrains Mono,monospace" font-size="12" fill="#0f172a">R = ${R}</text>`;
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}
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return s;
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}
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function capacitorSymbol(x, y, C, orientation) {
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orientation = orientation || 'h';
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let s = '';
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if (orientation === 'h') {
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s += `<line x1="${x-3}" y1="${y-14}" x2="${x-3}" y2="${y+14}" stroke="#0f172a" stroke-width="2.5"/>`;
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s += `<line x1="${x+3}" y1="${y-14}" x2="${x+3}" y2="${y+14}" stroke="#0f172a" stroke-width="2.5"/>`;
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if (C !== undefined) s += `<text x="${x}" y="${y+30}" text-anchor="middle" font-family="JetBrains Mono,monospace" font-size="12" fill="#0f172a">C = ${C}</text>`;
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}
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return s;
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}
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function ammeterSymbol(x, y, r) {
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r = r || 14;
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return `<circle cx="${x}" cy="${y}" r="${r}" fill="white" stroke="#0f172a" stroke-width="1.6"/>`
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+ `<text x="${x}" y="${y+5}" text-anchor="middle" font-family="Inter,sans-serif" font-size="13" font-weight="700" fill="#d97706">A</text>`;
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}
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function voltmeterSymbol(x, y, r) {
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r = r || 14;
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return `<circle cx="${x}" cy="${y}" r="${r}" fill="white" stroke="#0f172a" stroke-width="1.6"/>`
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+ `<text x="${x}" y="${y+5}" text-anchor="middle" font-family="Inter,sans-serif" font-size="13" font-weight="700" fill="#2563eb">V</text>`;
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}
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function lightbulbSymbol(x, y, r) {
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r = r || 14;
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let s = '';
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s += `<circle cx="${x}" cy="${y}" r="${r}" fill="#fef3c7" stroke="#0f172a" stroke-width="1.6"/>`;
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s += `<line x1="${x-r*0.7}" y1="${y-r*0.7}" x2="${x+r*0.7}" y2="${y+r*0.7}" stroke="#0f172a" stroke-width="1.4"/>`;
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s += `<line x1="${x-r*0.7}" y1="${y+r*0.7}" x2="${x+r*0.7}" y2="${y-r*0.7}" stroke="#0f172a" stroke-width="1.4"/>`;
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return s;
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}
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function inductorSymbol(x, y, L, orientation) {
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orientation = orientation || 'h';
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let s = '';
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if (orientation === 'h') {
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for (let i = 0; i < 4; i++) {
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const cx = x - 15 + i * 10;
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s += `<path d="M ${cx-5} ${y} A 5 5 0 0 1 ${cx+5} ${y}" fill="none" stroke="#0f172a" stroke-width="1.6"/>`;
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}
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if (L !== undefined) s += `<text x="${x}" y="${y+22}" text-anchor="middle" font-family="JetBrains Mono,monospace" font-size="12" fill="#0f172a">L = ${L}</text>`;
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}
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return s;
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}
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function wire(x1, y1, x2, y2) {
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return `<line x1="${x1}" y1="${y1}" x2="${x2}" y2="${y2}" stroke="#0f172a" stroke-width="1.6"/>`;
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}
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// === Эталонные константы ===
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const CONST = {
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k: 9e9, // Кулона
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e: 1.6e-19, // элементарный заряд
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eps0: 8.85e-12, // электрическая постоянная
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kB: 1.38e-23, // Больцмана
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NA: 6.022e23, // Авогадро
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R: 8.314, // универсальная газовая
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c: 3e8, // скорость света
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g: 9.8, // ускорение свободного падения
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atm: 101325, // 1 атм в Па
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T0: 273.15 // ноль Цельсия в К
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};
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// === Конвертеры единиц ===
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function celsiusToKelvin(t) { return t + 273.15; }
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function kelvinToCelsius(T) { return T - 273.15; }
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function atmToPa(p) { return p * 101325; }
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function paToAtm(p) { return p / 101325; }
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function litersToM3(V) { return V / 1000; }
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function m3ToLiters(V) { return V * 1000; }
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// === Расширения для Физики 8 (тепловые явления) ===
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// === Цвет по температуре: 240° (синий) → 0° (красный) ===
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function tempColor(t, tMin, tMax) {
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const u = Math.max(0, Math.min(1, (t - tMin) / (tMax - tMin)));
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const hue = 240 * (1 - u);
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return `hsl(${hue.toFixed(0)},72%,52%)`;
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}
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// === Термометр (вертикальная шкала, столбик ртути по температуре) ===
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function thermometer(x, y, h, tMin, tMax, tValue) {
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// x, y — верх корпуса; h — высота столбика
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const reservoirR = 11;
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const tubeW = 8;
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const u = Math.max(0, Math.min(1, (tValue - tMin) / (tMax - tMin)));
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const fillH = h * u;
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const color = tempColor(tValue, tMin, tMax);
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let s = '';
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// Корпус (стекло)
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s += `<rect x="${x - tubeW/2}" y="${y}" width="${tubeW}" height="${h}" rx="${tubeW/2}" fill="#fff" stroke="#0f172a" stroke-width="1.4"/>`;
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// Столбик ртути
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s += `<rect x="${x - tubeW/2 + 1.5}" y="${y + h - fillH}" width="${tubeW - 3}" height="${fillH}" rx="${(tubeW-3)/2}" fill="${color}"/>`;
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// Резервуар
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s += `<circle cx="${x}" cy="${y + h + reservoirR - 1}" r="${reservoirR}" fill="${color}" stroke="#0f172a" stroke-width="1.4"/>`;
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// Деления (5)
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for (let i = 0; i <= 5; i++) {
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const ty = y + h * i / 5;
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const tv = tMax - (tMax - tMin) * i / 5;
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s += `<line x1="${x + tubeW/2 + 1}" y1="${ty}" x2="${x + tubeW/2 + 6}" y2="${ty}" stroke="#0f172a" stroke-width="1"/>`;
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s += `<text x="${x + tubeW/2 + 9}" y="${ty + 3.5}" font-family="JetBrains Mono,monospace" font-size="10" fill="#0f172a">${tv.toFixed(0)}</text>`;
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}
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// Подпись текущего значения
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s += `<text x="${x - tubeW/2 - 4}" y="${y - 4}" text-anchor="end" font-family="JetBrains Mono,monospace" font-size="11" font-weight="700" fill="${color}">${tValue.toFixed(0)} °C</text>`;
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return s;
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}
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// === Калориметр-стакан с жидкостью ===
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function calorimeter(x, y, w, h, fillFrac, liquidColor) {
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fillFrac = Math.max(0, Math.min(1, fillFrac || 0.6));
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liquidColor = liquidColor || '#60a5fa';
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const wall = 4;
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const innerH = h - wall;
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const liqH = innerH * fillFrac;
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let s = '';
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// Внешний контур
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s += `<path d="M ${x} ${y} L ${x} ${y+h} Q ${x} ${y+h+6} ${x+8} ${y+h+6} L ${x+w-8} ${y+h+6} Q ${x+w} ${y+h+6} ${x+w} ${y+h} L ${x+w} ${y} L ${x+w-wall} ${y} L ${x+w-wall} ${y+h-2} L ${x+wall} ${y+h-2} L ${x+wall} ${y} Z" fill="#e0f2fe" stroke="#0f172a" stroke-width="1.5"/>`;
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// Жидкость
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s += `<rect x="${x+wall+1}" y="${y + innerH - liqH + wall/2}" width="${w - 2*wall - 2}" height="${liqH}" fill="${liquidColor}" opacity="0.78"/>`;
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// Мениск
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s += `<line x1="${x+wall+1}" y1="${y + innerH - liqH + wall/2}" x2="${x+w-wall-1}" y2="${y + innerH - liqH + wall/2}" stroke="${liquidColor}" stroke-width="1.6" opacity="0.95"/>`;
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return s;
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}
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// === Симуляция теплопроводности по стержню (одномерное уравнение тепла) ===
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// Возвращает объект с .step(dt), .render(x, y, w, h), .reset(), .setTHot(t), .setTCold(t)
|
||
function createHeatBar(opts) {
|
||
opts = opts || {};
|
||
const N = opts.N || 30;
|
||
const tHot = opts.tHot != null ? opts.tHot : 200;
|
||
const tCold = opts.tCold != null ? opts.tCold : 0;
|
||
const alpha = opts.alpha || 0.25; // коэф. диффузии (отн. ед.)
|
||
const T = new Array(N);
|
||
for (let i = 0; i < N; i++) T[i] = tCold;
|
||
return {
|
||
N: N, alpha: alpha, T: T,
|
||
_tHot: tHot, _tCold: tCold,
|
||
setTHot(v) { this._tHot = v; },
|
||
setTCold(v) { this._tCold = v; },
|
||
reset() {
|
||
for (let i = 0; i < this.N; i++) this.T[i] = this._tCold;
|
||
},
|
||
step(dt) {
|
||
// Конечно-разностное уравнение теплопроводности с граничными условиями Дирихле.
|
||
const Tnew = new Array(this.N);
|
||
Tnew[0] = this._tHot;
|
||
Tnew[this.N - 1] = this._tCold;
|
||
for (let i = 1; i < this.N - 1; i++) {
|
||
Tnew[i] = this.T[i] + this.alpha * dt * (this.T[i-1] - 2*this.T[i] + this.T[i+1]);
|
||
}
|
||
this.T = Tnew;
|
||
},
|
||
render(x, y, w, h) {
|
||
const segW = w / this.N;
|
||
const tMin = Math.min(this._tCold, this._tHot);
|
||
const tMax = Math.max(this._tCold, this._tHot);
|
||
let s = '';
|
||
for (let i = 0; i < this.N; i++) {
|
||
const c = tempColor(this.T[i], tMin, tMax);
|
||
s += `<rect x="${(x + i*segW).toFixed(1)}" y="${y}" width="${(segW + 0.5).toFixed(1)}" height="${h}" fill="${c}"/>`;
|
||
}
|
||
// Контур стержня
|
||
s += `<rect x="${x}" y="${y}" width="${w}" height="${h}" fill="none" stroke="#0f172a" stroke-width="1.5"/>`;
|
||
return s;
|
||
}
|
||
};
|
||
}
|
||
|
||
// === График фазовых переходов T(t) с горизонтальными плато ===
|
||
// points: массив сегментов [{tStart, tEnd, Tstart, Tend, label?}]
|
||
// W, H, pad — размеры графика; tMaxAll, TminAll, TmaxAll — диапазоны
|
||
function phaseGraphTT(W, H, pad, points, tMaxAll, TminAll, TmaxAll) {
|
||
const toX = t => pad + (W - 2*pad) * t / tMaxAll;
|
||
const toY = T => H - pad - (H - 2*pad) * (T - TminAll) / (TmaxAll - TminAll);
|
||
let s = '';
|
||
// Оси
|
||
s += `<line x1="${pad}" y1="${H-pad}" x2="${W-pad}" y2="${H-pad}" stroke="#0f172a" stroke-width="1.5"/>`;
|
||
s += `<line x1="${pad}" y1="${pad}" x2="${pad}" y2="${H-pad}" stroke="#0f172a" stroke-width="1.5"/>`;
|
||
s += `<text x="${W-pad+4}" y="${H-pad+4}" font-family="Inter,sans-serif" font-size="11" fill="#0f172a">t</text>`;
|
||
s += `<text x="${pad-4}" y="${pad-4}" text-anchor="end" font-family="Inter,sans-serif" font-size="11" fill="#0f172a">T,°C</text>`;
|
||
// Сегменты
|
||
let d = '';
|
||
let first = true;
|
||
for (const seg of points) {
|
||
if (first) { d += `M ${toX(seg.tStart).toFixed(1)} ${toY(seg.Tstart).toFixed(1)} `; first = false; }
|
||
d += `L ${toX(seg.tEnd).toFixed(1)} ${toY(seg.Tend).toFixed(1)} `;
|
||
}
|
||
s += `<path d="${d}" stroke="#dc2626" stroke-width="2.5" fill="none" stroke-linejoin="round" stroke-linecap="round"/>`;
|
||
// Подписи сегментов
|
||
for (const seg of points) {
|
||
if (seg.label) {
|
||
const mx = (toX(seg.tStart) + toX(seg.tEnd)) / 2;
|
||
const my = (toY(seg.Tstart) + toY(seg.Tend)) / 2 - 8;
|
||
s += `<text x="${mx.toFixed(1)}" y="${my.toFixed(1)}" text-anchor="middle" font-family="Inter,sans-serif" font-size="11" font-weight="600" fill="#475569">${seg.label}</text>`;
|
||
}
|
||
}
|
||
return { svg: s, toX: toX, toY: toY };
|
||
}
|
||
|
||
// === Анимация конвекции — тороидальный поток частиц ===
|
||
// Используется в §4 Физики 8 (главный визуал «конвекция в жидкости/газе»).
|
||
// opts: { N — число частиц (default 24), w, h — размеры области, speed (отн. ед., default 1),
|
||
// tHot, tCold — температуры для окраски (default 100, 20) }.
|
||
function createConvectionSim(opts) {
|
||
opts = opts || {};
|
||
const N = opts.N || 24;
|
||
const w = opts.w || 220;
|
||
const h = opts.h || 140;
|
||
const speed = opts.speed != null ? opts.speed : 1;
|
||
const tHot = opts.tHot != null ? opts.tHot : 100;
|
||
const tCold = opts.tCold != null ? opts.tCold : 20;
|
||
// Каждая частица движется по фазе вдоль контура прямоугольника:
|
||
// правая сторона — вверх (нагрев / подъём), верхняя — влево, левая — вниз (охлаждение), нижняя — вправо.
|
||
const parts = new Array(N);
|
||
for (let i = 0; i < N; i++) parts[i] = { phase: i / N };
|
||
return {
|
||
N: N, w: w, h: h, speed: speed,
|
||
_tHot: tHot, _tCold: tCold,
|
||
setSpeed(v) { this.speed = v; },
|
||
setHot(v) { this._tHot = v; },
|
||
setCold(v) { this._tCold = v; },
|
||
step(dt) {
|
||
const dPhase = 0.18 * this.speed * dt;
|
||
for (let i = 0; i < this.N; i++) {
|
||
parts[i].phase = (parts[i].phase + dPhase) % 1;
|
||
if (parts[i].phase < 0) parts[i].phase += 1;
|
||
}
|
||
},
|
||
// Возвращает координаты частицы (cx, cy) и температуру по её положению.
|
||
// phase ∈ [0,1): 0..0.25 — правая (подъём, t→tHot), 0.25..0.5 — верх (t=tHot),
|
||
// 0.5..0.75 — левая (опускание, t→tCold), 0.75..1 — низ (t=tCold).
|
||
_xy(phase, x, y) {
|
||
const margin = 12;
|
||
const W = this.w - 2 * margin;
|
||
const H = this.h - 2 * margin;
|
||
let lx, ly, t;
|
||
if (phase < 0.25) {
|
||
const k = phase / 0.25;
|
||
lx = W; ly = H * (1 - k);
|
||
t = this._tCold + (this._tHot - this._tCold) * k;
|
||
} else if (phase < 0.5) {
|
||
const k = (phase - 0.25) / 0.25;
|
||
lx = W * (1 - k); ly = 0;
|
||
t = this._tHot;
|
||
} else if (phase < 0.75) {
|
||
const k = (phase - 0.5) / 0.25;
|
||
lx = 0; ly = H * k;
|
||
t = this._tHot - (this._tHot - this._tCold) * k;
|
||
} else {
|
||
const k = (phase - 0.75) / 0.25;
|
||
lx = W * k; ly = H;
|
||
t = this._tCold;
|
||
}
|
||
return { cx: x + margin + lx, cy: y + margin + ly, t: t };
|
||
},
|
||
render(x, y) {
|
||
const tMin = Math.min(this._tCold, this._tHot);
|
||
const tMax = Math.max(this._tCold, this._tHot);
|
||
let s = '';
|
||
// Контур сосуда
|
||
s += `<rect x="${x}" y="${y}" width="${this.w}" height="${this.h}" fill="#dbeafe" stroke="#0f172a" stroke-width="1.5" rx="6"/>`;
|
||
// Нагреватель снизу (красная полоса)
|
||
s += `<rect x="${x + 8}" y="${y + this.h - 6}" width="${this.w - 16}" height="6" fill="#dc2626" opacity="0.85" rx="3"/>`;
|
||
// Частицы
|
||
for (let i = 0; i < this.N; i++) {
|
||
const p = this._xy(parts[i].phase, x, y);
|
||
const c = tempColor(p.t, tMin, tMax);
|
||
s += `<circle cx="${p.cx.toFixed(1)}" cy="${p.cy.toFixed(1)}" r="4" fill="${c}" stroke="#0f172a" stroke-width="0.6" opacity="0.9"/>`;
|
||
}
|
||
return s;
|
||
}
|
||
};
|
||
}
|
||
|
||
// === Электронные хелперы для электрических задач ===
|
||
// Параллельное и последовательное сопротивление
|
||
function Rseries() {
|
||
let R = 0;
|
||
for (let i = 0; i < arguments.length; i++) R += arguments[i];
|
||
return R;
|
||
}
|
||
function Rparallel() {
|
||
let inv = 0;
|
||
for (let i = 0; i < arguments.length; i++) {
|
||
if (arguments[i] > 0) inv += 1 / arguments[i];
|
||
}
|
||
return inv > 0 ? 1 / inv : Infinity;
|
||
}
|
||
|
||
// ======================================================================
|
||
// PHYSICS 7 HELPERS — силы, давление, гидростатика, барометры, энергия.
|
||
// Все размеры в SVG-пикселях; физические величины в СИ.
|
||
// ======================================================================
|
||
|
||
function forceVector(x, y, F, angleDeg, color, label, scale) {
|
||
scale = scale || 1.5;
|
||
const a = -angleDeg * Math.PI / 180;
|
||
const x2 = x + F * scale * Math.cos(a);
|
||
const y2 = y + F * scale * Math.sin(a);
|
||
let s = drawArrow(x, y, x2, y2, color || '#0f172a', 2.5, 9);
|
||
if (label) {
|
||
const lx = x2 + 8 * Math.cos(a);
|
||
const ly = y2 + 8 * Math.sin(a) + 4;
|
||
s += `<text x="${lx.toFixed(1)}" y="${ly.toFixed(1)}" font-family="Inter,sans-serif" font-size="12" font-weight="700" fill="${color || '#0f172a'}">${label}</text>`;
|
||
}
|
||
return s;
|
||
}
|
||
|
||
function dynamometer(x, y, h, Fmax, Fcurr) {
|
||
const w = 30;
|
||
const springTop = y + 14, springBot = y + h - 28;
|
||
const stretch = Math.max(0, Math.min(1, Fcurr / Fmax)) * (springBot - springTop);
|
||
const pointerY = springTop + stretch;
|
||
let s = `<rect x="${x}" y="${y}" width="${w}" height="${h}" fill="#fef3c7" stroke="#92400e" stroke-width="1.5" rx="4"/>`;
|
||
const coils = 8;
|
||
const coilH = (pointerY - springTop) / coils;
|
||
let path = `M ${x + w/2} ${springTop}`;
|
||
for (let i = 0; i < coils; i++) {
|
||
path += ` L ${x + (i%2 ? w-6 : 6)} ${springTop + (i+0.5)*coilH}`;
|
||
}
|
||
path += ` L ${x + w/2} ${pointerY}`;
|
||
s += `<path d="${path}" fill="none" stroke="#92400e" stroke-width="1.5"/>`;
|
||
const ticks = 10;
|
||
for (let i = 0; i <= ticks; i++) {
|
||
const ty = springTop + (springBot - springTop) * i / ticks;
|
||
s += `<line x1="${x + w}" y1="${ty}" x2="${x + w + 6}" y2="${ty}" stroke="#92400e" stroke-width="1.2"/>`;
|
||
if (i % 2 === 0) {
|
||
s += `<text x="${x + w + 10}" y="${ty + 4}" font-family="Inter,sans-serif" font-size="9" fill="#92400e">${(Fmax * i / ticks).toFixed(Fmax < 5 ? 1 : 0)}</text>`;
|
||
}
|
||
}
|
||
s += `<line x1="${x + 5}" y1="${pointerY}" x2="${x + w - 5}" y2="${pointerY}" stroke="#dc2626" stroke-width="2.5"/>`;
|
||
s += `<circle cx="${x + w/2}" cy="${pointerY + 8}" r="4" fill="#374151"/>`;
|
||
s += `<text x="${x + w/2}" y="${y + h + 18}" text-anchor="middle" font-family="Inter,sans-serif" font-size="11" font-weight="700" fill="#374151">F = ${Fcurr.toFixed(1)} Н</text>`;
|
||
return s;
|
||
}
|
||
|
||
function blockOnSurface(x, y, w, h, label, weights) {
|
||
let s = `<rect x="${x}" y="${y}" width="${w}" height="${h}" fill="#a78bfa" stroke="#5b21b6" stroke-width="1.5" rx="3"/>`;
|
||
if (label) s += `<text x="${x + w/2}" y="${y + h/2 + 4}" text-anchor="middle" font-family="Inter,sans-serif" font-size="11" font-weight="700" fill="#fff">${label}</text>`;
|
||
if (weights && weights > 0) {
|
||
const wH = 10, wW = w * 0.7;
|
||
for (let i = 0; i < weights; i++) {
|
||
const wy = y - (i + 1) * (wH + 2);
|
||
s += `<rect x="${x + (w - wW)/2}" y="${wy}" width="${wW}" height="${wH}" fill="#475569" stroke="#1e293b" stroke-width="1" rx="2"/>`;
|
||
}
|
||
}
|
||
return s;
|
||
}
|
||
|
||
function connectedVessels(x, y, kindA, kindB, levelY, fluidColor) {
|
||
fluidColor = fluidColor || '#60a5fa';
|
||
const widths = { cylinder: 60, wide: 100, narrow: 35 };
|
||
const wA = widths[kindA] || 60, wB = widths[kindB] || 60;
|
||
const h = 140, gap = 50;
|
||
const xA = x, xB = x + wA + gap;
|
||
let s = '';
|
||
s += `<line x1="${xA}" y1="${y}" x2="${xA}" y2="${y + h}" stroke="#0f172a" stroke-width="2"/>`;
|
||
s += `<line x1="${xA + wA}" y1="${y}" x2="${xA + wA}" y2="${y + h}" stroke="#0f172a" stroke-width="2"/>`;
|
||
s += `<line x1="${xB}" y1="${y}" x2="${xB}" y2="${y + h}" stroke="#0f172a" stroke-width="2"/>`;
|
||
s += `<line x1="${xB + wB}" y1="${y}" x2="${xB + wB}" y2="${y + h}" stroke="#0f172a" stroke-width="2"/>`;
|
||
s += `<line x1="${xA}" y1="${y + h}" x2="${xA + wA}" y2="${y + h}" stroke="#0f172a" stroke-width="2"/>`;
|
||
s += `<line x1="${xB}" y1="${y + h}" x2="${xB + wB}" y2="${y + h}" stroke="#0f172a" stroke-width="2"/>`;
|
||
s += `<line x1="${xA + wA}" y1="${y + h - 6}" x2="${xB}" y2="${y + h - 6}" stroke="#0f172a" stroke-width="2"/>`;
|
||
s += `<line x1="${xA + wA}" y1="${y + h}" x2="${xB}" y2="${y + h}" stroke="#0f172a" stroke-width="2"/>`;
|
||
const fillH = (y + h) - levelY;
|
||
s += `<rect x="${xA + 1}" y="${levelY}" width="${wA - 2}" height="${fillH}" fill="${fluidColor}" opacity="0.75"/>`;
|
||
s += `<rect x="${xB + 1}" y="${levelY}" width="${wB - 2}" height="${fillH}" fill="${fluidColor}" opacity="0.75"/>`;
|
||
s += `<rect x="${xA + wA}" y="${y + h - 6}" width="${gap}" height="6" fill="${fluidColor}" opacity="0.75"/>`;
|
||
s += `<line x1="${xA - 8}" y1="${levelY}" x2="${xB + wB + 8}" y2="${levelY}" stroke="#dc2626" stroke-width="1" stroke-dasharray="4 3"/>`;
|
||
return s;
|
||
}
|
||
|
||
function hydraulicPress(x, y, sSmall, sLarge, fSmall, fluidColor) {
|
||
fluidColor = fluidColor || '#60a5fa';
|
||
const fLarge = fSmall * sLarge / sSmall;
|
||
const scale = 6;
|
||
const wSmall = Math.max(20, Math.sqrt(sSmall) * scale);
|
||
const wLarge = Math.max(40, Math.sqrt(sLarge) * scale);
|
||
const cylH = 60, baseY = y + 110, gap = 40;
|
||
const xS = x, xL = x + wSmall + gap;
|
||
let s = '';
|
||
s += `<rect x="${xS}" y="${y + 50}" width="${wSmall}" height="${cylH}" fill="${fluidColor}" stroke="#0f172a" stroke-width="1.5" opacity="0.7"/>`;
|
||
s += `<rect x="${xS - 3}" y="${y + 40}" width="${wSmall + 6}" height="14" fill="#374151" stroke="#0f172a" stroke-width="1.5" rx="2"/>`;
|
||
s += `<rect x="${xL}" y="${y + 50}" width="${wLarge}" height="${cylH}" fill="${fluidColor}" stroke="#0f172a" stroke-width="1.5" opacity="0.7"/>`;
|
||
s += `<rect x="${xL - 3}" y="${y + 40}" width="${wLarge + 6}" height="14" fill="#374151" stroke="#0f172a" stroke-width="1.5" rx="2"/>`;
|
||
s += `<rect x="${xS}" y="${baseY}" width="${(xL + wLarge) - xS}" height="10" fill="${fluidColor}" stroke="#0f172a" stroke-width="1.5" opacity="0.7"/>`;
|
||
s += drawArrow(xS + wSmall/2, y + 20, xS + wSmall/2, y + 40, '#dc2626', 2.5, 8);
|
||
s += drawArrow(xL + wLarge/2, y + 20, xL + wLarge/2, y + 40, '#10b981', 2.5, 8);
|
||
s += `<text x="${xS + wSmall/2}" y="${y + 12}" text-anchor="middle" font-family="Inter,sans-serif" font-size="11" font-weight="700" fill="#dc2626">F_1 = ${fSmall.toFixed(0)} Н</text>`;
|
||
s += `<text x="${xL + wLarge/2}" y="${y + 12}" text-anchor="middle" font-family="Inter,sans-serif" font-size="11" font-weight="700" fill="#10b981">F_2 = ${fLarge.toFixed(0)} Н</text>`;
|
||
s += `<text x="${xS + wSmall/2}" y="${y + 80}" text-anchor="middle" font-family="Inter,sans-serif" font-size="10" fill="#0f172a">S_1 = ${sSmall} см²</text>`;
|
||
s += `<text x="${xL + wLarge/2}" y="${y + 80}" text-anchor="middle" font-family="Inter,sans-serif" font-size="10" fill="#0f172a">S_2 = ${sLarge} см²</text>`;
|
||
return s;
|
||
}
|
||
|
||
function mercuryBarometer(x, y, hMm) {
|
||
hMm = hMm == null ? 760 : hMm;
|
||
const maxMm = 800, scale = 0.4;
|
||
const tubeH = maxMm * scale, tubeW = 14;
|
||
const cupY = y + tubeH + 10, cupW = 70, cupH = 26;
|
||
const colH = hMm * scale, colTop = y + tubeH - colH;
|
||
let s = '';
|
||
s += `<rect x="${x - cupW/2 + tubeW/2}" y="${cupY}" width="${cupW}" height="${cupH}" fill="#94a3b8" stroke="#0f172a" stroke-width="1.5" rx="3"/>`;
|
||
s += `<rect x="${x - cupW/2 + tubeW/2 + 3}" y="${cupY + 5}" width="${cupW - 6}" height="${cupH - 8}" fill="#475569" opacity="0.85"/>`;
|
||
s += `<rect x="${x}" y="${y}" width="${tubeW}" height="${tubeH + 12}" fill="#e0f2fe" stroke="#0f172a" stroke-width="1.5"/>`;
|
||
s += `<rect x="${x + 1}" y="${colTop}" width="${tubeW - 2}" height="${colH + 12}" fill="#475569"/>`;
|
||
s += `<text x="${x + tubeW + 8}" y="${y + 14}" font-family="Inter,sans-serif" font-size="10" font-style="italic" fill="#64748b">вакуум</text>`;
|
||
for (let mm = 0; mm <= maxMm; mm += 50) {
|
||
const ty = y + tubeH - mm * scale;
|
||
s += `<line x1="${x + tubeW}" y1="${ty}" x2="${x + tubeW + 6}" y2="${ty}" stroke="#0f172a" stroke-width="1"/>`;
|
||
if (mm % 100 === 0) s += `<text x="${x + tubeW + 10}" y="${ty + 3}" font-family="Inter,sans-serif" font-size="9" fill="#0f172a">${mm}</text>`;
|
||
}
|
||
s += `<line x1="${x - 12}" y1="${colTop}" x2="${x}" y2="${colTop}" stroke="#dc2626" stroke-width="2"/>`;
|
||
s += `<text x="${x - 14}" y="${colTop + 4}" text-anchor="end" font-family="Inter,sans-serif" font-size="11" font-weight="700" fill="#dc2626">${hMm} мм</text>`;
|
||
return s;
|
||
}
|
||
|
||
function aneroidBarometer(cx, cy, r, pressurePa) {
|
||
const pMm = pressurePa / 133.322;
|
||
const pMin = 720, pMax = 800;
|
||
const angDeg = -210 + 240 * Math.max(0, Math.min(1, (pMm - pMin) / (pMax - pMin)));
|
||
const angRad = angDeg * Math.PI / 180;
|
||
let s = '';
|
||
s += `<circle cx="${cx}" cy="${cy}" r="${r}" fill="#fff" stroke="#0f172a" stroke-width="2"/>`;
|
||
s += `<circle cx="${cx}" cy="${cy}" r="${r - 8}" fill="none" stroke="#cbd5e1" stroke-width="1"/>`;
|
||
for (let p = pMin; p <= pMax; p += 10) {
|
||
const a = (-210 + 240 * (p - pMin) / (pMax - pMin)) * Math.PI / 180;
|
||
const r1 = r - 4, r2 = r - 12;
|
||
const x1 = cx + r1 * Math.cos(a), y1 = cy + r1 * Math.sin(a);
|
||
const x2 = cx + r2 * Math.cos(a), y2 = cy + r2 * Math.sin(a);
|
||
s += `<line x1="${x1.toFixed(1)}" y1="${y1.toFixed(1)}" x2="${x2.toFixed(1)}" y2="${y2.toFixed(1)}" stroke="#0f172a" stroke-width="${p % 20 === 0 ? 2 : 1}"/>`;
|
||
if (p % 20 === 0) {
|
||
const rT = r - 22;
|
||
const xT = cx + rT * Math.cos(a), yT = cy + rT * Math.sin(a) + 3;
|
||
s += `<text x="${xT.toFixed(1)}" y="${yT.toFixed(1)}" text-anchor="middle" font-family="Inter,sans-serif" font-size="9" fill="#0f172a">${p}</text>`;
|
||
}
|
||
}
|
||
const tipX = cx + (r - 18) * Math.cos(angRad), tipY = cy + (r - 18) * Math.sin(angRad);
|
||
s += `<line x1="${cx}" y1="${cy}" x2="${tipX.toFixed(1)}" y2="${tipY.toFixed(1)}" stroke="#dc2626" stroke-width="3" stroke-linecap="round"/>`;
|
||
s += `<circle cx="${cx}" cy="${cy}" r="4" fill="#374151"/>`;
|
||
s += `<text x="${cx}" y="${cy + r + 16}" text-anchor="middle" font-family="Inter,sans-serif" font-size="11" font-weight="700" fill="#374151">${pMm.toFixed(0)} мм рт. ст.</text>`;
|
||
return s;
|
||
}
|
||
|
||
function uManometer(x, y, w, h, deltaH, fluidColor) {
|
||
fluidColor = fluidColor || '#0891b2';
|
||
const tube = 14;
|
||
const xL = x, xR = x + w - tube;
|
||
const baseY = y + h;
|
||
let s = `<path d="M ${xL} ${y} L ${xL} ${baseY - tube/2} Q ${xL} ${baseY} ${xL + tube/2} ${baseY} L ${xR + tube/2} ${baseY} Q ${xR + tube} ${baseY} ${xR + tube} ${baseY - tube/2} L ${xR + tube} ${y}" fill="none" stroke="#0f172a" stroke-width="1.5"/>`;
|
||
s += `<path d="M ${xL + tube} ${y} L ${xL + tube} ${baseY - tube/2 - 8}" fill="none" stroke="#0f172a" stroke-width="1.5" opacity="0.4"/>`;
|
||
s += `<path d="M ${xR} ${y} L ${xR} ${baseY - tube/2 - 8}" fill="none" stroke="#0f172a" stroke-width="1.5" opacity="0.4"/>`;
|
||
const lLevel = y + h * 0.45 + deltaH / 2;
|
||
const rLevel = y + h * 0.45 - deltaH / 2;
|
||
s += `<rect x="${xL + 1}" y="${lLevel}" width="${tube - 2}" height="${baseY - lLevel}" fill="${fluidColor}" opacity="0.85"/>`;
|
||
s += `<rect x="${xR + 1}" y="${rLevel}" width="${tube - 2}" height="${baseY - rLevel}" fill="${fluidColor}" opacity="0.85"/>`;
|
||
if (Math.abs(deltaH) > 1) {
|
||
s += `<line x1="${xR + tube + 6}" y1="${lLevel}" x2="${xR + tube + 6}" y2="${rLevel}" stroke="#dc2626" stroke-width="1.5"/>`;
|
||
s += `<text x="${xR + tube + 10}" y="${(lLevel + rLevel)/2 + 4}" font-family="Inter,sans-serif" font-size="10" font-weight="700" fill="#dc2626">Δh</text>`;
|
||
}
|
||
return s;
|
||
}
|
||
|
||
function rulerWithError(x, y, lenCm, mmPerDiv) {
|
||
mmPerDiv = mmPerDiv || 1;
|
||
const pxPerCm = 30;
|
||
const w = lenCm * pxPerCm, h = 28;
|
||
let s = `<rect x="${x}" y="${y}" width="${w}" height="${h}" fill="#fef3c7" stroke="#92400e" stroke-width="1.5" rx="2"/>`;
|
||
const totalDivs = (lenCm * 10) / mmPerDiv;
|
||
for (let i = 0; i <= totalDivs; i++) {
|
||
const tx = x + (i * mmPerDiv / 10) * pxPerCm;
|
||
const mm = i * mmPerDiv;
|
||
const isCm = mm % 10 === 0, isHalfCm = mm % 5 === 0;
|
||
const tickH = isCm ? 12 : (isHalfCm ? 8 : 5);
|
||
s += `<line x1="${tx}" y1="${y}" x2="${tx}" y2="${y + tickH}" stroke="#0f172a" stroke-width="${isCm ? 1.5 : 1}"/>`;
|
||
if (isCm) s += `<text x="${tx}" y="${y + h - 4}" text-anchor="middle" font-family="Inter,sans-serif" font-size="9" font-weight="600" fill="#0f172a">${mm/10}</text>`;
|
||
}
|
||
s += `<text x="${x + w + 6}" y="${y + h/2 + 4}" font-family="Inter,sans-serif" font-size="10" font-weight="700" fill="#92400e">см</text>`;
|
||
return s;
|
||
}
|
||
|
||
function bimetal(x, y, w, h, deltaT) {
|
||
const ang = Math.max(-30, Math.min(30, deltaT * 0.3));
|
||
let s = `<g transform="translate(${x},${y}) rotate(${ang} 0 ${h/2})">`;
|
||
s += `<rect x="0" y="0" width="${w}" height="${h/2}" fill="#fbbf24" stroke="#92400e" stroke-width="1"/>`;
|
||
s += `<rect x="0" y="${h/2}" width="${w}" height="${h/2}" fill="#94a3b8" stroke="#374151" stroke-width="1"/>`;
|
||
s += `<text x="${w/2}" y="${h + 14}" text-anchor="middle" font-family="Inter,sans-serif" font-size="10" fill="#374151">ΔT = ${deltaT.toFixed(0)} °C</text>`;
|
||
s += `</g>`;
|
||
return s;
|
||
}
|
||
|
||
function expandingRod(x, y, l0, alpha, deltaT) {
|
||
const dl = l0 * alpha * deltaT * 1000;
|
||
const len = l0 + dl;
|
||
const h = 16;
|
||
const color = tempColor(deltaT, 0, 100);
|
||
let s = `<rect x="${x}" y="${y}" width="${len.toFixed(1)}" height="${h}" fill="${color}" stroke="#0f172a" stroke-width="1.5" rx="2"/>`;
|
||
s += `<line x1="${x + l0}" y1="${y - 4}" x2="${x + l0}" y2="${y + h + 4}" stroke="#0f172a" stroke-width="1" stroke-dasharray="3 2"/>`;
|
||
if (dl > 1) {
|
||
s += drawArrow(x + l0, y + h + 14, x + len, y + h + 14, '#dc2626', 1.8, 6);
|
||
s += `<text x="${x + l0 + dl/2}" y="${y + h + 28}" text-anchor="middle" font-family="Inter,sans-serif" font-size="10" font-weight="700" fill="#dc2626">Δl = ${dl.toFixed(1)} px</text>`;
|
||
}
|
||
return s;
|
||
}
|
||
|
||
// === HillSlideSim — тележка скатывается с горки (для §42, закон сохранения) ===
|
||
class HillSlideSim {
|
||
constructor(opts) {
|
||
opts = opts || {};
|
||
this.x0 = opts.x0 || 30;
|
||
this.y0 = opts.y0 || 200;
|
||
this.hStart = opts.hStart != null ? opts.hStart : 5;
|
||
this.m = opts.mass || 1;
|
||
this.g = opts.g || 9.8;
|
||
this.friction = opts.friction || 0;
|
||
this.scale = opts.scale || 30;
|
||
this.reset();
|
||
}
|
||
reset() {
|
||
// Начальный импульс: тележка стартует с лёгким толчком (1% от L) и небольшой скоростью,
|
||
// иначе при h=hStart, v=0 — она навсегда останется на вершине (бесконечный нуль).
|
||
const L = this.hStart * 4;
|
||
this.t = 0;
|
||
this.x = L * 0.01;
|
||
const xRel = this.x / L;
|
||
this.h = this.hStart * Math.pow(1 - xRel, 2);
|
||
this.v = Math.sqrt(2 * this.g * (this.hStart - this.h));
|
||
}
|
||
step(dt) {
|
||
const gEff = this.g * (1 - this.friction);
|
||
this.t += dt;
|
||
const L = this.hStart * 4;
|
||
if (this.h <= 0.001 || this.x >= L) {
|
||
this.h = 0;
|
||
// Финальная скорость с учётом потерь на трение.
|
||
this.v = Math.sqrt(2 * gEff * this.hStart);
|
||
this.x = L;
|
||
return;
|
||
}
|
||
// Скорость по закону сохранения энергии (с учётом трения).
|
||
const dropped = Math.max(0.0001, this.hStart - this.h);
|
||
this.v = Math.sqrt(2 * gEff * dropped);
|
||
// Скорость по x — это горизонтальная компонента; для наглядного моделирования
|
||
// используем её напрямую как темп роста x.
|
||
this.x += this.v * dt;
|
||
const xRel = Math.min(this.x, L) / L;
|
||
this.h = this.hStart * Math.pow(1 - xRel, 2);
|
||
}
|
||
getEnergies() {
|
||
return {
|
||
Ek: 0.5 * this.m * this.v * this.v,
|
||
Ep: this.m * this.g * this.h,
|
||
Etot: 0.5 * this.m * this.v * this.v + this.m * this.g * this.h
|
||
};
|
||
}
|
||
renderProfile() {
|
||
const L = this.hStart * 4;
|
||
const pxL = L * this.scale, pxH = this.hStart * this.scale;
|
||
const baseY = this.y0;
|
||
let path = `M ${this.x0} ${baseY - pxH}`;
|
||
const N = 40;
|
||
for (let i = 1; i <= N; i++) {
|
||
const xRel = i / N;
|
||
const yRel = Math.pow(1 - xRel, 2);
|
||
path += ` L ${(this.x0 + pxL * xRel).toFixed(1)} ${(baseY - pxH * yRel).toFixed(1)}`;
|
||
}
|
||
let s = '';
|
||
s += `<line x1="${this.x0 - 10}" y1="${baseY}" x2="${this.x0 + pxL + 30}" y2="${baseY}" stroke="#0f172a" stroke-width="2"/>`;
|
||
s += `<path d="${path} L ${this.x0 + pxL} ${baseY} L ${this.x0} ${baseY} Z" fill="#86efac" opacity="0.6" stroke="#10b981" stroke-width="1.5"/>`;
|
||
const cartX = this.x0 + this.x * this.scale;
|
||
const cartY = baseY - this.h * this.scale;
|
||
s += `<rect x="${(cartX - 10).toFixed(1)}" y="${(cartY - 14).toFixed(1)}" width="20" height="12" fill="#dc2626" stroke="#0f172a" stroke-width="1.5" rx="2"/>`;
|
||
s += `<circle cx="${(cartX - 5).toFixed(1)}" cy="${(cartY - 2).toFixed(1)}" r="3" fill="#0f172a"/>`;
|
||
s += `<circle cx="${(cartX + 5).toFixed(1)}" cy="${(cartY - 2).toFixed(1)}" r="3" fill="#0f172a"/>`;
|
||
return s;
|
||
}
|
||
}
|
||
|
||
// === PendulumSim — математический маятник (для §42) ===
|
||
class PendulumSim {
|
||
constructor(opts) {
|
||
opts = opts || {};
|
||
this.cx = opts.cx || 150;
|
||
this.cy = opts.cy || 40;
|
||
this.L = opts.length || 1.2;
|
||
this.m = opts.mass || 0.5;
|
||
this.g = opts.g || 9.8;
|
||
this.phi0 = (opts.angleDeg || 25) * Math.PI / 180;
|
||
this.scale = opts.scale || 80;
|
||
this.reset();
|
||
}
|
||
reset() { this.t = 0; this.phi = this.phi0; this.omega = 0; }
|
||
step(dt) {
|
||
const alpha = -(this.g / this.L) * Math.sin(this.phi);
|
||
this.omega += alpha * dt;
|
||
this.phi += this.omega * dt;
|
||
this.t += dt;
|
||
}
|
||
getEnergies() {
|
||
const h = this.L * (1 - Math.cos(this.phi));
|
||
const v = Math.abs(this.omega) * this.L;
|
||
return {
|
||
Ek: 0.5 * this.m * v * v,
|
||
Ep: this.m * this.g * h,
|
||
Etot: 0.5 * this.m * v * v + this.m * this.g * h
|
||
};
|
||
}
|
||
render() {
|
||
const pxL = this.L * this.scale;
|
||
const bx = this.cx + pxL * Math.sin(this.phi);
|
||
const by = this.cy + pxL * Math.cos(this.phi);
|
||
let s = '';
|
||
s += `<rect x="${this.cx - 30}" y="${this.cy - 8}" width="60" height="8" fill="#475569" stroke="#0f172a" stroke-width="1"/>`;
|
||
s += `<line x1="${this.cx}" y1="${this.cy}" x2="${bx.toFixed(1)}" y2="${by.toFixed(1)}" stroke="#0f172a" stroke-width="1.5"/>`;
|
||
s += `<circle cx="${bx.toFixed(1)}" cy="${by.toFixed(1)}" r="9" fill="#dc2626" stroke="#7f1d1d" stroke-width="1.5"/>`;
|
||
s += `<circle cx="${this.cx}" cy="${this.cy}" r="3" fill="#0f172a"/>`;
|
||
return s;
|
||
}
|
||
}
|
||
|
||
// === Экспорт ===
|
||
window.PHYS = {
|
||
tempColor: tempColor,
|
||
thermometer: thermometer,
|
||
calorimeter: calorimeter,
|
||
createHeatBar: createHeatBar,
|
||
createConvectionSim: createConvectionSim,
|
||
phaseGraphTT: phaseGraphTT,
|
||
Rseries: Rseries,
|
||
Rparallel: Rparallel,
|
||
drawArrow: drawArrow,
|
||
fieldLinesPointCharge: fieldLinesPointCharge,
|
||
chargeMark: chargeMark,
|
||
magneticFieldGrid: magneticFieldGrid,
|
||
molecule: molecule,
|
||
createGasSim: createGasSim,
|
||
batteryEMF: batteryEMF,
|
||
resistor: resistor,
|
||
capacitorSymbol: capacitorSymbol,
|
||
ammeterSymbol: ammeterSymbol,
|
||
voltmeterSymbol: voltmeterSymbol,
|
||
lightbulbSymbol: lightbulbSymbol,
|
||
inductorSymbol: inductorSymbol,
|
||
wire: wire,
|
||
CONST: CONST,
|
||
celsiusToKelvin: celsiusToKelvin,
|
||
kelvinToCelsius: kelvinToCelsius,
|
||
atmToPa: atmToPa,
|
||
paToAtm: paToAtm,
|
||
litersToM3: litersToM3,
|
||
m3ToLiters: m3ToLiters,
|
||
// Physics 7 — Phase 0
|
||
forceVector: forceVector,
|
||
dynamometer: dynamometer,
|
||
blockOnSurface: blockOnSurface,
|
||
connectedVessels: connectedVessels,
|
||
hydraulicPress: hydraulicPress,
|
||
mercuryBarometer: mercuryBarometer,
|
||
aneroidBarometer: aneroidBarometer,
|
||
uManometer: uManometer,
|
||
rulerWithError: rulerWithError,
|
||
bimetal: bimetal,
|
||
expandingRod: expandingRod,
|
||
HillSlideSim: HillSlideSim,
|
||
PendulumSim: PendulumSim
|
||
};
|
||
})();
|