152 lines
5.5 KiB
HTML
152 lines
5.5 KiB
HTML
<!--
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This work is licensed under CC BY-NC-ND 4.0
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Link to license: http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribute to Russell Georgi
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-->
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<html>
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<head>
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<title>
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Spring Pendulum Example
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</title>
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<style>
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html, body {
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width: 100%;
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height: 100%;
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margin: 0px;
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border: 0;
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overflow: hidden;
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display: block;
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}
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canvas {
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position: absolute;
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}
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t {
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position: absolute;
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font-size: 75px;
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left: 5%;
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top: 5%;
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}
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</style>
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</head>
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<body>
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<canvas id="myCanvas" width="1" height="1" style="border:1px solid #ffffff;">
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Your browser does not support the HTML5 canvas tag.</canvas>
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<!--t id="time">0</t-->
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<script>
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var c = document.getElementById("myCanvas");
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var ctx = c.getContext("2d");
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c.width = window.innerWidth;
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c.height = window.innerHeight;
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//Time step
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var dt = 0.02;
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var t = 0;
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var g = 98;
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var l = 200;
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var x = 0;
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var xp = 0;
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var theta = Math.PI / 8;
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var thetap = 0;
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var m = 1;
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var k = 2;
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//Relative position of canvas
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var xPos = 0;
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var yPos = 200;
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//Moves and scales canvas
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ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2)
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ctx.scale(1, -1);
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function Clear(ctx)
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{
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ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
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}
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function Update()
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{
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Clear(ctx);
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Draw();
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t += dt;
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xp += (m * (l + x) * thetap * thetap + m * g * Math.cos(theta) - k * x) * dt / m;
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thetap += (-m * g * Math.sin(theta) - 2 * m * xp * thetap) * dt / (m * (l + x));
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x += xp * dt;
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theta += thetap * dt;
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setTimeout(Update, 1);
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}
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function Reset()
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{
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theta = 0;
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x = 0;
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thetap = 0;
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xp = 0;
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t = 0;
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}
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function Draw()
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{
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ctx.beginPath();
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ctx.moveTo(-c.width, yPos);
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ctx.lineTo(c.width, yPos);
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ctx.stroke();
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drawSpring(xPos, 0, xPos + (l + x) * Math.sin(theta), - (l + x) * Math.cos(theta), 1, 3, 10, 10);
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ctx.beginPath();
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ctx.arc(xPos + (l + x) * Math.sin(theta), yPos - (l + x) * Math.cos(theta), 10, 0, Math.PI * 2);
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ctx.fill();
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}
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function drawSpring(x1, y1, x2, y2, a, b, perpSize, numLoops, tStep = 0.1)
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{
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ctx.translate(0, yPos);
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if (Math.sign(theta) == 1)
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{
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ctx.rotate(Math.atan((y2 - y1) / (x2 - x1)) * (Math.sign(theta)));
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} else
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{
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ctx.rotate(Math.PI - Math.atan((y2 - y1) / (x2 - x1)) * (Math.sign(theta)));
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}
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var xSize = Math.sqrt(((x1 - x2) ** 2 + (y1 - y2) ** 2));
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var tStart = Math.PI / 2;
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var tEnd = (3 * Math.PI / 2) + (2 * Math.PI * numLoops);
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var xEnd = a * tEnd - b * Math.sin(tEnd);
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var yEnd = a + b;
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var xFactor = xSize / xEnd;
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var yFactor = perpSize / yEnd;
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var xShift = x1 - a * (Math.PI / 2) + b * Math.sin(Math.PI / 2);
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var yShift = y1 - a + b * Math.cos(Math.PI / 2);
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for (p = tStart; p <= tEnd; p += tStep)
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{
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ctx.beginPath();
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ctx.moveTo(xShift + xFactor * (a * p - b * Math.sin(p)), yShift + yFactor * (a - b * Math.cos(p)));
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ctx.lineTo(xShift + xFactor * (a * (p + tStep) - b * Math.sin(p + tStep)), yShift + yFactor * (a - b * Math.cos(p + tStep)));
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ctx.stroke();
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}
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if (Math.sign(theta) == 1)
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{
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console.log("sign = 1");
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ctx.rotate(-Math.atan((y2 - y1) / (x2 - x1)) * (Math.sign(theta)));
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} else
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{
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console.log("sign = -1");
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ctx.rotate(-Math.PI + Math.atan((y2 - y1) / (x2 - x1)) * (Math.sign(theta)));
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}
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ctx.translate(0, -yPos);
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}
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window.addEventListener('resize', function(event) {
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c.width = window.innerWidth;
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c.height = window.innerHeight;
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ctx.translate(c.width / 2, c.height / 2);
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ctx.scale(1, -1);
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}, true);
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Update();
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</script>
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</body>
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<p xmlns:cc="http://creativecommons.org/ns#" style="font-size: 1vw; bottom: 0px; position: absolute;">
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This work is licensed under
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<a href="http://creativecommons.org/licenses/by-nc-nd/4.0/?ref=chooser-v1" target="_blank" rel="license noopener noreferrer" style="display:inline-block;">CC BY-NC-ND 4.0<img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/cc.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/by.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/nc.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/nd.svg?ref=chooser-v1"></a></p>
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</html> |