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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>
Problem 6-3
</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>Omega</t>
<input type="range" min="1" max="10" value="6" step="1" class="greenSlider" id="wSlider">
</div>
<script>
var c = document.getElementById("myCanvas");
var ctx = c.getContext("2d");
c.width = window.innerWidth;
c.height = window.innerHeight;
//Time step
var dt = 0.01;
var t = 0;
var g = 98;
var a = 10;
var l = 200;
var w = 6;
var x = 0;
var theta = Math.PI / 4;
var thetap = 0;
//Relative position of canvas
var xPos = 0;
var yPos = 100;
//Moves and scales canvas
ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2)
ctx.scale(1, -1);
wSlider.oninput = function()
{
w = parseFloat(this.value);
Reset();
}
function Clear(ctx)
{
ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
}
function Update()
{
x = a * Math.cos(w * t);
Clear(ctx);
Draw();
t += dt;
thetap += ((x * w * w * Math.cos(theta)) - g * Math.sin(theta)) * dt / l;
theta += thetap * dt;
setTimeout(Update, 1);
}
function Reset()
{
theta = Math.PI / 4;
thetap = 0;
t = 0;
}
function Draw()
{
ctx.beginPath();
ctx.rect(-20 + xPos + x, -20 + yPos, 40, 40);
ctx.stroke();
ctx.beginPath();
ctx.arc(xPos + l * Math.sin(theta) + x, yPos - l * Math.cos(theta), 10, 0, Math.PI * 2);
ctx.fill();
ctx.beginPath();
ctx.moveTo(xPos + x, yPos - 20);
ctx.lineTo(xPos + l * Math.sin(theta) + x, yPos - l * Math.cos(theta));
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(1, -1);
}, 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>