226 lines
7.7 KiB
HTML
226 lines
7.7 KiB
HTML
<!--
|
|
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 3-30
|
|
</title>
|
|
<style>
|
|
html, body {
|
|
width: 100%;
|
|
height: 100%;
|
|
margin: 0px;
|
|
border: 0;
|
|
overflow: hidden;
|
|
display: block;
|
|
}
|
|
|
|
canvas {
|
|
position: absolute;
|
|
}
|
|
|
|
|
|
.dropbtn {
|
|
background-color: #04AA6D;
|
|
color: white;
|
|
padding: 16px;
|
|
font-size: 16px;
|
|
border: none;
|
|
}
|
|
|
|
.dropdown {
|
|
position: absolute;
|
|
display: inline-block;
|
|
}
|
|
|
|
.dropdown-content {
|
|
display: none;
|
|
position: relative;
|
|
background-color: #f1f1f1;
|
|
box-shadow: 0px 8px 16px 0px rgba(0,0,0,0.2);
|
|
z-index: 1;
|
|
}
|
|
|
|
.dropdown-content button {
|
|
color: black;
|
|
padding: 12px 16px;
|
|
width: 100px;
|
|
text-decoration: none;
|
|
display: block;
|
|
}
|
|
|
|
.dropdown-content a:hover {background-color: #ddd;}
|
|
|
|
.dropdown:hover .dropdown-content {display: block;}
|
|
|
|
.dropdown:hover .dropbtn {background-color: #3e8e41;}
|
|
|
|
</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="dropdown">
|
|
<button class="dropbtn" id="btn">1 Pulley</button>
|
|
<div class="dropdown-content">
|
|
<button onclick="num(1)">1 Pulley</button>
|
|
<button onclick="num(2)">2 Pulleys</button>
|
|
<button onclick="num(3)">3 Pulleys</button>
|
|
<button onclick="num(4)">4 Pulleys</button>
|
|
<button onclick="num(5)">5 Pulleys</button>
|
|
<button onclick="num(6)">6 Pulleys</button>
|
|
</div>
|
|
</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 = 98;
|
|
var m1 = 1;
|
|
var m2 = 1;
|
|
var y1 = 0;
|
|
var y2 = 0;
|
|
var v1 = 0;
|
|
var v2 = 0;
|
|
var n = 1;
|
|
var dist = 75;
|
|
var pulleyPositions = new Array(n);
|
|
var pulleyVelocities = new Array(n);
|
|
//Relative position of canvas
|
|
var xPos = 0;
|
|
var yPos = 200;
|
|
//Moves and scales canvas
|
|
ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2)
|
|
ctx.scale(1, -1);
|
|
Reset();
|
|
|
|
function calcAccelerations(p)
|
|
{
|
|
return (2 ** p) * g * (2 ** n - 1) / (2 ** (2 * n) + 1);
|
|
}
|
|
|
|
function num(number)
|
|
{
|
|
n = number;
|
|
if (number == 1)
|
|
{
|
|
document.getElementById("btn").textContent = "1 Pulley"
|
|
} else
|
|
{
|
|
document.getElementById("btn").textContent = number.toString() + " Pulleys"
|
|
}
|
|
Reset();
|
|
}
|
|
|
|
function Clear(ctx)
|
|
{
|
|
ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
|
|
}
|
|
|
|
function Update()
|
|
{
|
|
Clear(ctx);
|
|
Draw();
|
|
t += dt;
|
|
v1 -= calcAccelerations(0) * dt;
|
|
v2 += calcAccelerations(n) * dt;
|
|
y1 += v1 * dt;
|
|
y2 += v2 * dt;
|
|
for (i = 0; i < n; i++)
|
|
{
|
|
pulleyVelocities[i] -= calcAccelerations(n - i - 1) * dt;
|
|
pulleyPositions[i] += pulleyVelocities[i] * dt;
|
|
}
|
|
if (y2 > dist - 20)
|
|
{
|
|
Reset();
|
|
}
|
|
setTimeout(Update, 5);
|
|
}
|
|
|
|
function Reset()
|
|
{
|
|
y1 = 0;
|
|
y2 = 0;
|
|
v1 = 0;
|
|
v2 = 0;
|
|
pulleyPositions = new Array(n);
|
|
pulleyVelocities = new Array(n);
|
|
for (i = 0; i < n; i++)
|
|
{
|
|
pulleyVelocities[i] = 0;
|
|
pulleyPositions[i] = 0;
|
|
}
|
|
}
|
|
|
|
function Draw()
|
|
{
|
|
ctx.beginPath();
|
|
ctx.moveTo(-c.width, yPos + 50);
|
|
ctx.lineTo(c.width, yPos + 50);
|
|
ctx.stroke();
|
|
ctx.beginPath();
|
|
ctx.moveTo(xPos + 80, yPos + 50);
|
|
ctx.lineTo(xPos + 80, yPos);
|
|
ctx.stroke();
|
|
ctx.beginPath();
|
|
ctx.arc(xPos + 80, yPos, 20, 0, Math.PI * 2);
|
|
ctx.stroke();
|
|
ctx.beginPath();
|
|
ctx.moveTo(xPos + 100, yPos);
|
|
ctx.lineTo(xPos + 100, yPos + y2 - dist);
|
|
ctx.stroke();
|
|
ctx.beginPath();
|
|
ctx.arc(xPos + 100, yPos + y2 - dist, Math.PI * Math.sqrt(m2), 0, Math.PI * 2);
|
|
ctx.fill();
|
|
ctx.beginPath();
|
|
ctx.moveTo(xPos + 60, yPos);
|
|
ctx.lineTo(xPos + 60, yPos - dist + pulleyPositions[0]);
|
|
ctx.stroke();
|
|
for (i = 0; i < n; i++)
|
|
{
|
|
ctx.beginPath();
|
|
ctx.arc(xPos + 40 - 20 * i, yPos - dist - dist * i + pulleyPositions[i], 20, 0, Math.PI * 2);
|
|
ctx.stroke();
|
|
ctx.beginPath();
|
|
ctx.moveTo(xPos + 40 - 20 * i, yPos - dist - dist * i + pulleyPositions[i]);
|
|
ctx.lineTo(xPos + 40 - 20 * i, yPos - dist - dist * (i + 1) + pulleyPositions[i + 1]);
|
|
ctx.stroke();
|
|
ctx.beginPath();
|
|
ctx.moveTo(xPos + 40 - 20 * (i + 1), yPos - dist - dist * i + pulleyPositions[i]);
|
|
ctx.lineTo(xPos + 40 - 20 * (i + 1), yPos + 50);
|
|
ctx.stroke();
|
|
}
|
|
ctx.beginPath();
|
|
ctx.moveTo(xPos + 40 - 20 * (n - 1), yPos - dist - dist * (n - 1) + pulleyPositions[n - 1]);
|
|
ctx.lineTo(xPos + 40 - 20 * (n - 1), yPos - dist - dist * (n) + y1);
|
|
ctx.stroke();
|
|
ctx.beginPath();
|
|
ctx.arc(xPos + 40 - 20 * (n - 1), yPos - dist - dist * (n) + y1, Math.PI * Math.sqrt(m1), 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, -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> |