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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
-->
<html>
<head>
<title>
Exercise 1-7
</title>
<style>
html, body {
width: 100%;
height: 100%;
margin: 0px;
border: 0;
overflow: hidden;
display: block;
}
canvas {
position: absolute;
}
t {
position: absolute;
font-size: 75px;
left: 5%;
top: 5%;
}
</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>
<t id="time">0</t>
<script>
var c = document.getElementById("myCanvas");
var ctx = c.getContext("2d");
c.width = window.innerWidth;
c.height = window.innerHeight;
//Time step
var dt = 0.01;
var t = 0;
var g = 980;
var lx = 200;
var ly = 200;
var pulleyR = 2;
var r = 100;
var rp = 0;
var theta = Math.PI / 18;
var thetap = 0;
//Relative position of canvas
var xPos = 0;
var yPos = 70;
//Moves and scales canvas
ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2)
ctx.scale(2, -2);
function Clear(ctx)
{
ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
}
function Update()
{
Clear(ctx);
Draw();
t += dt;
if (t == 0)
{
console.log("zero");
rp = 0;
thetap = 0;
theta = Math.PI / 18;
r = 100;
}
if (t >= 0)
{
document.getElementById("time").textContent = t.toFixed(2) + " seconds";
console.log("greater");
rp += (dt / 2) * ((r * thetap * thetap) - g * (1 - Math.cos(theta)));
r += rp * dt;
thetap += dt * (-(2 * rp * thetap / r) - (g * Math.sin(theta) / r));
theta += thetap * dt;
}
if (r >= 200)
{
console.log(t);
t = -1000;
setTimeout(Reset, 2000);
r = 199.99;
}
setTimeout(Update, 1);
}
function Reset()
{
t = 0;
rp = 0;
thetap = 0;
theta = Math.PI / 18;
r = 100;
}
function Draw()
{
ctx.beginPath();
ctx.moveTo(xPos + lx / 2, yPos + pulleyR);
ctx.lineTo(xPos - lx / 2, yPos + pulleyR);
ctx.stroke();
ctx.beginPath();
ctx.arc(xPos + lx / 2, yPos, pulleyR, 0, Math.PI * 2);
ctx.stroke();
ctx.beginPath();
ctx.arc(xPos - lx / 2, yPos, pulleyR, 0, Math.PI * 2);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos + lx / 2 + pulleyR, yPos);
ctx.lineTo(xPos + lx / 2 + pulleyR + r * Math.sin(theta), yPos - r * Math.cos(theta));
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos - lx / 2 - pulleyR, yPos);
ctx.lineTo(xPos - lx / 2 - pulleyR, yPos - (250 - r));
ctx.stroke();
ctx.beginPath();
ctx.arc(xPos + lx / 2 + pulleyR + r * Math.sin(theta), yPos - r * Math.cos(theta), 5, 0, Math.PI * 2);
ctx.fill();
ctx.beginPath();
ctx.arc(xPos - lx / 2 - pulleyR, yPos - (250 - r), 5, 0, Math.PI * 2);
ctx.fill();
}
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>
<p xmlns:cc="http://creativecommons.org/ns#" style="font-size: 1vw; bottom: 0px; position: absolute;">
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>