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ClassicalMechanicsPrograms/3-27.html
2021-08-29 11:04:41 -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/
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<html>
<head>
<title>
Exercise 3-27
</title>
<style>
html, body {
width: 100%;
height: 100%;
margin: 0px;
border: 0;
overflow: hidden;
display: block;
}
canvas {
position: absolute;
}
</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>
<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 = 98;
var m1 = 1;
var m2 = 2;
var y1 = 0;
var y2 = 0;
var v1 = 0;
var v2 = 0;
var a1 = 0;
var a2 = 0;
calcAccelerations();
//Relative position of canvas
var xPos = 0;
var yPos = 90;
//Moves and scales canvas
ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2)
ctx.scale(1.5, -1.5);
function calcAccelerations()
{
a1 = -4 * g / 9;
a2 = g / 9;
}
function Clear(ctx)
{
ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
}
function Update()
{
Clear(ctx);
Draw();
t += dt;
v1 += a1 * dt;
v2 += a2 * dt;
y1 += v1 * dt;
y2 += v2 * dt;
if (y2 > 60)
{
Reset();
}
setTimeout(Update, 5);
}
function Reset()
{
y1 = 0;
y2 = 0;
v1 = 0;
v2 = 0;
}
function Draw()
{
ctx.beginPath();
ctx.moveTo(-c.width, yPos + 50);
ctx.lineTo(c.width, yPos + 50);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos, yPos + 50);
ctx.lineTo(xPos, yPos);
ctx.stroke();
ctx.beginPath();
ctx.arc(xPos, yPos, 20, 0, Math.PI * 2);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos - 20, yPos);
ctx.lineTo(xPos - 20, yPos - (100 - y1));
ctx.stroke();
ctx.beginPath();
ctx.arc(xPos - 20, yPos - (100 - y1), Math.PI * Math.sqrt(m1), 0, Math.PI * 2);
ctx.fill();
ctx.beginPath();
ctx.moveTo(xPos + 20, yPos);
ctx.lineTo(xPos + 20, yPos - (100 + y1 / 4));
ctx.stroke();
ctx.beginPath();
ctx.arc(xPos + 40, yPos - (100 + y1 / 4), 20, 0, Math.PI * 2);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos + 40, yPos - (100 + y1 / 4));
ctx.lineTo(xPos + 40, yPos - (200 - y2));
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos + 40, yPos + 50);
ctx.lineTo(xPos + 40, yPos);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos + 30, yPos);
ctx.lineTo(xPos + 20, yPos - (100 + y1 / 4));
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos + 50, yPos);
ctx.lineTo(xPos + 60, yPos - (100 + y1 / 4));
ctx.stroke();
ctx.beginPath();
ctx.arc(xPos + 40, yPos, 10, 0, Math.PI * 2);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(xPos + 60, yPos - (100 + y1 / 4));
ctx.lineTo(xPos + 60, yPos + 50);
ctx.stroke();
ctx.beginPath();
ctx.arc(xPos + 40, yPos - (200 - y2), Math.PI * Math.sqrt(m2), 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(1.5, -1.5);
}, true);
Update();
</script>
</body>
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This work is licensed under
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</html>