5-23 and 5-29
This commit is contained in:
167
5-23.html
Normal file
167
5-23.html
Normal file
@@ -0,0 +1,167 @@
|
||||
<!--
|
||||
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 5-23
|
||||
</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;
|
||||
}
|
||||
|
||||
.dropbtnm {
|
||||
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;
|
||||
}
|
||||
|
||||
#m {
|
||||
left: 110px;
|
||||
}
|
||||
|
||||
.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>
|
||||
|
||||
<script>
|
||||
var c = document.getElementById("myCanvas");
|
||||
var ctx = c.getContext("2d");
|
||||
ctx.canvas.width = window.innerWidth;
|
||||
ctx.canvas.height = window.innerHeight;
|
||||
var n = 10;
|
||||
var g = 20;
|
||||
var h = 55;
|
||||
var r1 = 50;
|
||||
var rf = 0.25;
|
||||
var dr = 0.2;
|
||||
var drc = 0.1;
|
||||
var ballPositions = new Array(n);
|
||||
var ballVelocities = new Array(n);
|
||||
var t = 0;
|
||||
var dt = 0.025;
|
||||
var xPos = 0;
|
||||
var yPos = -200;
|
||||
|
||||
ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2);
|
||||
ctx.scale(1.5, -1.5);
|
||||
ballPositions[0] = h;
|
||||
ballVelocities[0] = 0;
|
||||
for (i = 1; i < ballPositions.length; i++)
|
||||
{
|
||||
ballPositions[i] = ballPositions[i-1] + (rf ** (i-1)) * r1 + (rf ** i) * r1 + dr;
|
||||
ballVelocities[i] = 0;
|
||||
}
|
||||
|
||||
|
||||
function Clear(ctx)
|
||||
{
|
||||
ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
|
||||
}
|
||||
|
||||
function Update()
|
||||
{
|
||||
Clear(ctx);
|
||||
Draw();
|
||||
t += dt;
|
||||
for (i = 0; i < ballPositions.length; i++)
|
||||
{
|
||||
ballVelocities[i] -= g * dt;
|
||||
ballPositions[i] += ballVelocities[i] * dt;
|
||||
}
|
||||
for (i = 0; i < ballPositions.length; i++)
|
||||
{
|
||||
if (i == 0 && ballPositions[i] - r1 < drc)
|
||||
{
|
||||
ballVelocities[i] = -ballVelocities[i];
|
||||
ballPositions[i] += ballVelocities[i] * dt;
|
||||
} else if (i != 0 && ballPositions[i] - r1 * (rf ** i) < ballPositions[i - 1] + r1 * (rf ** (i - 1)) + drc)
|
||||
{
|
||||
ballVelocities[i] = -ballVelocities[i] + 2 * ballVelocities[i - 1];
|
||||
ballPositions[i] += ballVelocities[i] * dt;
|
||||
}
|
||||
}
|
||||
setTimeout(Update, 1000/60)
|
||||
}
|
||||
|
||||
|
||||
function Draw()
|
||||
{
|
||||
ctx.beginPath();
|
||||
ctx.moveTo(-c.width, yPos);
|
||||
ctx.lineTo(c.width, yPos);
|
||||
ctx.stroke();
|
||||
for (i = 0; i < ballPositions.length; i++)
|
||||
{
|
||||
ctx.beginPath();
|
||||
ctx.arc(0, ballPositions[i] + yPos, r1 * (rf ** i), 0, Math.PI * 2);
|
||||
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(1.5, -1.5);
|
||||
}, 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>
|
||||
206
5-29.html
Normal file
206
5-29.html
Normal file
@@ -0,0 +1,206 @@
|
||||
<!--
|
||||
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 5-29
|
||||
</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;
|
||||
}
|
||||
|
||||
.dropbtnm {
|
||||
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;
|
||||
}
|
||||
|
||||
#m {
|
||||
left: 110px;
|
||||
}
|
||||
|
||||
.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>
|
||||
|
||||
<script>
|
||||
class Vector2 {
|
||||
constructor (x, y) {
|
||||
this.x = x;
|
||||
this.y = y;
|
||||
}
|
||||
|
||||
scale(n)
|
||||
{
|
||||
this.x *= n;
|
||||
this.y *= n;
|
||||
}
|
||||
|
||||
get len()
|
||||
{
|
||||
return this.calcLen();
|
||||
}
|
||||
|
||||
calcLen()
|
||||
{
|
||||
return (Math.sqrt(this.x * this.x + this.y * this.y));
|
||||
}
|
||||
}
|
||||
var c = document.getElementById("myCanvas");
|
||||
var ctx = c.getContext("2d");
|
||||
ctx.canvas.width = window.innerWidth;
|
||||
ctx.canvas.height = window.innerHeight;
|
||||
var l = 100;
|
||||
var r = 50;
|
||||
var ppl = 2.0;
|
||||
var g = 10;
|
||||
var n = 500;
|
||||
//var f = 1;
|
||||
var chainPositions = new Array(1);
|
||||
var chainPrevPositions = new Array(1);
|
||||
var t = 0;
|
||||
var dt = 0.0125;
|
||||
var xPos = 0;
|
||||
var yPos = 100;
|
||||
|
||||
ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2);
|
||||
ctx.scale(1.5, -1.5);
|
||||
chainPositions[0] = new Vector2(r, 0);
|
||||
chainPrevPositions[0] = new Vector2(r, 0);
|
||||
for (i = ppl; i < r * Math.PI; i += ppl)
|
||||
{
|
||||
chainPositions.push(new Vector2(r * Math.cos(i / r), -r * Math.sin(i / r)));
|
||||
chainPrevPositions.push(new Vector2(r * Math.cos(i / r), -r * Math.sin(i / r)));
|
||||
}
|
||||
for (i = 0; i < l; i += ppl)
|
||||
{
|
||||
chainPositions.push(new Vector2(-r, i));
|
||||
chainPrevPositions.push(new Vector2(-r, i));
|
||||
}
|
||||
|
||||
|
||||
function Clear(ctx)
|
||||
{
|
||||
ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
|
||||
}
|
||||
|
||||
function Update()
|
||||
{
|
||||
Clear(ctx);
|
||||
Draw();
|
||||
t += dt;
|
||||
for (i = 1; i < chainPositions.length; i++)
|
||||
{
|
||||
positionBeforeUpdate = chainPositions[i];
|
||||
chainPositions[i] = new Vector2(2 * chainPositions[i].x - chainPrevPositions[i].x, 2 * chainPositions[i].y - chainPrevPositions[i].y);
|
||||
chainPositions[i].y -= g * dt * dt;
|
||||
chainPrevPositions[i] = positionBeforeUpdate;
|
||||
/*stickCentre = new Vector2((chainPositions[i - 1].x + chainPositions[i].x) / 2, (chainPositions[i - 1].y + chainPositions[i].y) / 2);
|
||||
stickDir = new Vector2(chainPositions[i - 1].x - chainPositions[i].x, chainPositions[i - 1].y - chainPositions[i].y);
|
||||
stickDir = new Vector2(stickDir.x / stickDir.calcLen(), stickDir.y / stickDir.calcLen());
|
||||
if (i != 1)
|
||||
{
|
||||
chainPositions[i - 1] = new Vector2(stickCentre.x + stickDir.x * ppl / 2, stickCentre.y + stickDir.y * ppl / 2);
|
||||
}
|
||||
chainPositions[i] = new Vector2(stickCentre.x - stickDir.x * ppl / 2, stickCentre.y - stickDir.y * ppl / 2);*/
|
||||
}
|
||||
for (j = 0; j < n; j++)
|
||||
{
|
||||
//i = Math.floor(Math.random()*(chainPositions.length - 1));
|
||||
i = j % (chainPositions.length - 1);
|
||||
stickCentre = new Vector2((chainPositions[i].x + chainPositions[i + 1].x) / 2, (chainPositions[i].y + chainPositions[i + 1].y) / 2);
|
||||
stickDir = new Vector2(chainPositions[i].x - chainPositions[i + 1].x, chainPositions[i].y - chainPositions[i + 1].y);
|
||||
stickDir = new Vector2(stickDir.x / stickDir.calcLen(), stickDir.y / stickDir.calcLen());
|
||||
if (i != 0)
|
||||
{
|
||||
chainPositions[i] = new Vector2(stickCentre.x + stickDir.x * ppl / 2, stickCentre.y + stickDir.y * ppl / 2);
|
||||
}
|
||||
chainPositions[i + 1] = new Vector2(stickCentre.x - stickDir.x * ppl / 2, stickCentre.y - stickDir.y * ppl / 2);
|
||||
}
|
||||
setTimeout(Update, 500/60);
|
||||
}
|
||||
|
||||
|
||||
function Draw()
|
||||
{
|
||||
ctx.beginPath();
|
||||
ctx.moveTo(chainPositions[0].x + xPos, chainPositions[0].y + yPos);
|
||||
for (i = 1; i < chainPositions.length; i++)
|
||||
{
|
||||
ctx.lineTo(chainPositions[i].x + xPos, chainPositions[i].y + yPos);
|
||||
}
|
||||
ctx.stroke();
|
||||
}
|
||||
|
||||
function vectorAdd(v1, v2)
|
||||
{
|
||||
return new Vector2(v1.x + v2.x, v1.y + v2.y);
|
||||
}
|
||||
|
||||
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>
|
||||
<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>
|
||||
Reference in New Issue
Block a user