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ClassicalMechanicsPrograms/8-76.html
2022-01-05 08:41:41 -07:00

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This work is licensed under CC BY-NC-ND 4.0
Link to license: http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribute to Russell Georgi
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<html>
<head>
<title>
Exercise 8-76
</title>
<style>
html, body {
width: 100%;
height: 100%;
margin: 0px;
border: 0;
overflow: hidden;
display: block;
}
canvas {
position: absolute;
}
.greenSlider {
-webkit-appearance: none;
border-radius: 5px;
height: 10px;
background: #d3d3d3;
outline: none;
opacity: 0.7;
-webkit-transition: .2s;
transition: opacity .2s;
}
.greenSlider::-webkit-slider-thumb {
-webkit-appearance: none;
appearance: none;
background: #000000;
border-radius: 50%;
width: 15px;
height: 15px;
cursor: pointer;
}
.greenSlider::-moz-range-thumb {
background: #000000;
border-radius: 50%;
width: 15px;
height: 15px;
cursor: pointer;
}
</style>
</head>
<body>
<canvas id="myCanvas" width="1" height="1" style="border:1px solid #ffffff;">
Your browser does not support the HTML5 canvas tag.</canvas>
<div class="slidecontainer">
<t>Vx</t>
<input type="range" min="-200" max="200" value="20" step="0.1" class="greenSlider" id="vxSlider">
<br>
<br>
<t>&#969</t>
<input type="range" min="-50" max="50" value="20" step="0.1" class="greenSlider" id="wSlider">
<br>
<br>
<t>y</t>
<input type="range" min="20" max="300" value="110" step="0.1" class="greenSlider" id="ySlider">
<br>
<br>
<t>g</t>
<input type="range" min="0" max="1000" value="500" step="0.1" class="greenSlider" id="gSlider">
<br>
<br>
<t>h</t>
<input type="range" min="30" max="200" value="120" step="0.1" class="greenSlider" id="hSlider">
<br>
<br>
<t>Table x</t>
<input type="range" min="-300" max="300" value="100" step="0.1" class="greenSlider" id="tSlider">
</div>
<script>
var c = document.getElementById("myCanvas");
var ctx = c.getContext("2d");
c.width = window.innerWidth;
c.height = window.innerHeight;
//Time step
var dt = 0.002;
var t = 0;
var g = -500;
var y = 110;
var vy = -200;
var x = 0;
var vx = 20;
var h = 120;
var omega = 20;
var theta = 0;
var r = 5;
var tableX = 100;
var positionsX = [0];
var positionsY = [110];
//Relative position of canvas
var xPos = -100;
var yPos = -120;
//Moves and scales canvas
ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2)
ctx.scale(2, -2);
Reset();
vxSlider.oninput = function()
{
vx = parseFloat(this.value);
Reset();
}
wSlider.oninput = function()
{
omega = parseFloat(this.value);
Reset();
}
ySlider.oninput = function()
{
y = parseFloat(this.value);
Reset();
}
gSlider.oninput = function()
{
g = -parseFloat(this.value);
Reset();
}
hSlider.oninput = function()
{
h = parseFloat(this.value);
Reset();
}
tSlider.oninput = function()
{
tableX = parseFloat(this.value);
Reset();
}
function BounceDown()
{
vy = -vy;
tempVx = vx;
vx = 3 * vx / 7 - 4 * r * omega / 7;
omega = (-10 * tempVx / 7 - 3 * r * omega / 7) / r;
}
function BounceUp()
{
vy = -vy;
tempVx = vx;
vx = 3 * vx / 7 - 4 * r * -omega / 7;
omega = - (-10 * tempVx / 7 - 3 * r * -omega / 7) / r;
}
function Clear(ctx)
{
ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
}
function Update()
{
Clear(ctx);
Draw();
t += dt;
x += vx * dt;
y += vy * dt;
vy += g * dt;
positionsX.push(x);
positionsY.push(y);
theta += omega * dt;
if (y <= r - 0.1)
{
BounceDown();
}
if (y >= h + 0.1 - r && y <= h && x > tableX)
{
BounceUp();
} else if (y <= h - 0.1 + r && y >= h && x > tableX)
{
BounceDown();
}
setTimeout(Update, 5);
}
function Reset()
{
x = 0;
y = parseFloat(document.getElementById("ySlider").value);
theta = 0;
vx = parseFloat(document.getElementById("vxSlider").value);
vy = -200;
omega = parseFloat(document.getElementById("wSlider").value);
positionsX = [0];
positionsY = [y];
}
function Draw()
{
ctx.strokeStyle = "#000000";
ctx.beginPath();
ctx.moveTo(-c.width, yPos);
ctx.lineTo(c.width, yPos);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos + tableX, yPos + h);
ctx.lineTo(c.width, yPos + h);
ctx.stroke();
ctx.beginPath();
ctx.arc(xPos + x, yPos + y, r, 0, Math.PI * 2);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos + x, yPos + y);
ctx.lineTo(xPos + x + r * Math.cos(theta), yPos + y + r * Math.sin(theta));
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos + x, yPos + y);
ctx.lineTo(xPos + x + r * Math.cos(theta + Math.PI / 2), yPos + y + r * Math.sin(theta + Math.PI / 2));
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos + x, yPos + y);
ctx.lineTo(xPos + x + r * Math.cos(theta + Math.PI), yPos + y + r * Math.sin(theta + Math.PI));
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos + x, yPos + y);
ctx.lineTo(xPos + x + r * Math.cos(theta - Math.PI / 2), yPos + y + r * Math.sin(theta - Math.PI / 2));
ctx.stroke();
ctx.strokeStyle = "#ee0000";
ctx.beginPath();
ctx.moveTo(xPos + positionsX[0], yPos + positionsY[0]);
for (i = 1; i < positionsX.length; i++)
{
ctx.lineTo(xPos + positionsX[i], yPos + positionsY[i]);
}
ctx.stroke();
}
window.addEventListener('resize', function(event) {
c.width = window.innerWidth;
c.height = window.innerHeight;
ctx.translate(c.width / 2, c.height / 2);
ctx.scale(2, -2);
}, true);
Update();
</script>
</body>
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This work is licensed under
<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>
</html>