Fixing things and adding springPendulum
This commit is contained in:
@@ -61,14 +61,7 @@
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</head>
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<body>
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<canvas id="myCanvas" width="1" height="1" style="border:1px solid #ffffff;">
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Your browser does not support the HTML5 canvas tag.</canvas>
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<div class="dropdown">
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<button class="dropbtn" id="btn">Mode 1</button>
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<div class="dropdown-content">
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<button onclick="num(0)">Mode 1</button>
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<button onclick="num(1)">Mode 2</button>
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</div>
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</div>
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Your browser does not support the HTML5 canvas tag.</canvas>
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<script>
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var c = document.getElementById("myCanvas");
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2
4-9.html
2
4-9.html
@@ -135,7 +135,7 @@
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}
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}
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function drawSpring(a, b, tSize, rSize, numLoops, x, y, tStep, deltaY)
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function drawSpring(a, b, xSize, ySize, numLoops, x, y, tStep, deltaY)
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{
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var tStart = Math.PI / 2;
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var tEnd = (3 * Math.PI / 2) + (2 * Math.PI * numLoops);
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@@ -88,15 +88,21 @@
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var w = 160;
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var h = 100;
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var x = 0;
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var x2 = 0;
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var sdt = 3;
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var st = 3;
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var sdt2 = 3;
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var st2 = 3;
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var sr = 5;
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var six = -100;
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var dist = 150;
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var snowballPositions = new Array();
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var snowballDirections = new Array();
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var snowballPositions2 = new Array();
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var snowballDirections2 = new Array();
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var dt = 0.1;
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var xPos = 0;
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var yPos = 0;
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var xPos = -200;
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var yPos = 100;
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ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2);
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ctx.scale(1.5, 1.5);
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@@ -111,9 +117,12 @@
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{
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Clear(ctx);
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Draw();
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Draw2();
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t += dt;
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st += dt;
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st2 += dt;
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x = calcX(t);
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x2 = calcX2(t);
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setTimeout(Update, 1000/60)
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}
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@@ -154,6 +163,48 @@
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}
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}
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function calcX2(gt)
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{
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return u * gt - m * u * Math.sqrt(1 + 2 * s * gt / m) / (s) + m * u / s;
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}
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function Draw2()
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{
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ctx.beginPath();
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ctx.rect(xPos + x2 - w / 2, yPos - h / 2 - dist, w, h);
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ctx.stroke();
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ctx.beginPath();
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ctx.arc(xPos + x2 - w / 4 - h/8, yPos + h / 2 + h / 8 - dist, h/8, 0, Math.PI * 2);
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ctx.stroke();
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ctx.beginPath();
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ctx.arc(xPos + x2 + w / 4 + h/8, yPos + h / 2 + h / 8 - dist, h/8, 0, Math.PI * 2);
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ctx.stroke();
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if (st2 > sdt)
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{
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st2 -= sdt;
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snowballPositions2.push(six);
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snowballDirections2.push(1);
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}
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for (i = 0; i < snowballPositions2.length; i++)
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{
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y = -h/4;
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if (snowballPositions2[i] < x2 - w/2 - sr)
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{
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snowballPositions2[i] += u * dt * snowballDirections2[i];
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} else
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{
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snowballDirections2[i] = 0;
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nr = Math.floor(w / (2 * sr));
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snowballPositions2[i] = x2 - w/2 + sr + 2 * sr * (i % nr);
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y = h/2 - sr - 2 * sr * Math.floor(i / nr);
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}
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ctx.beginPath();
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ctx.arc(xPos + snowballPositions2[i], yPos + y - dist, sr, 0, Math.PI * 2);
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ctx.stroke();
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}
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}
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window.addEventListener('resize', function(event) {
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c.width = window.innerWidth;
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c.height = window.innerHeight;
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174
5-16.html
174
5-16.html
@@ -1,174 +0,0 @@
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<!--
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This work is licensed under CC BY-NC-ND 4.0
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Link to license: http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribute to Russell Georgi
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-->
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<html>
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<head>
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<title>
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Problem 5-16
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</title>
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<style>
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html, body {
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width: 100%;
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height: 100%;
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margin: 0px;
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border: 0;
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overflow: hidden;
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display: block;
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}
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canvas {
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position: absolute;
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}
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.dropbtn {
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background-color: #04AA6D;
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color: white;
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padding: 16px;
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font-size: 16px;
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border: none;
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}
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.dropbtnm {
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background-color: #04AA6D;
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color: white;
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padding: 16px;
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font-size: 16px;
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border: none;
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}
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.dropdown {
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position: absolute;
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display: inline-block;
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}
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.dropdown-content {
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display: none;
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position: relative;
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background-color: #f1f1f1;
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box-shadow: 0px 8px 16px 0px rgba(0,0,0,0.2);
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z-index: 1;
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}
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.dropdown-content button {
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color: black;
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padding: 12px 16px;
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width: 100px;
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text-decoration: none;
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display: block;
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}
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#m {
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left: 110px;
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}
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.dropdown-content a:hover {background-color: #ddd;}
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.dropdown:hover .dropdown-content {display: block;}
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.dropdown:hover .dropbtn {background-color: #3e8e41;}
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</style>
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</head>
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<body>
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<canvas id="myCanvas" width="1" height="1" style="border:1px solid #ffffff;">
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Your browser does not support the HTML5 canvas tag.</canvas>
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||||
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<script>
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var c = document.getElementById("myCanvas");
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var ctx = c.getContext("2d");
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ctx.canvas.width = window.innerWidth;
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ctx.canvas.height = window.innerHeight;
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var m = 250;
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var s = 1;
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var u = 10;
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var t = 0;
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var w = 160;
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var h = 100;
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var x = 0;
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var sdt = 3;
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var st = 3;
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var sr = 5;
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var six = -100;
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var snowballPositions = new Array();
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var snowballDirections = new Array();
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var dt = 0.1;
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var xPos = 0;
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var yPos = 0;
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ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2);
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ctx.scale(1.5, 1.5);
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function Clear(ctx)
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{
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ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
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}
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function Update()
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{
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Clear(ctx);
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Draw();
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t += dt;
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st += dt;
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x = calcX(t);
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setTimeout(Update, 1000/60)
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}
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function calcX(gt)
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{
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return u * gt - m * u * Math.log(1 + 2 * s * gt / m) / (2 * s);
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}
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function Draw()
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{
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ctx.beginPath();
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ctx.rect(xPos + x - w / 2, yPos - h / 2, w, h);
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ctx.stroke();
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ctx.beginPath();
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ctx.arc(xPos + x - w / 4 - h/8, yPos + h / 2 + h / 8, h/8, 0, Math.PI * 2);
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ctx.stroke();
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ctx.beginPath();
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ctx.arc(xPos + x + w / 4 + h/8, yPos + h / 2 + h / 8, h/8, 0, Math.PI * 2);
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ctx.stroke();
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if (st > sdt)
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{
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st -= sdt;
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snowballPositions.push(six);
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snowballDirections.push(1);
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}
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for (i = 0; i < snowballPositions.length; i++)
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{
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y = -h/4;
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if (snowballPositions[i] < x - w/2 - sr)
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{
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snowballPositions[i] += u * dt * snowballDirections[i];
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} else
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{
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snowballDirections[i] = 0;
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nr = Math.floor(w / (2 * sr));
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snowballPositions[i] = x - w/2 + sr + 2 * sr * (i % nr);
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y = h/2 - sr - 2 * sr * Math.floor(i / nr);
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}
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ctx.beginPath();
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ctx.arc(xPos + snowballPositions[i], yPos + y, sr, 0, Math.PI * 2);
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ctx.stroke();
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}
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}
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window.addEventListener('resize', function(event) {
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c.width = window.innerWidth;
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c.height = window.innerHeight;
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ctx.translate(c.width / 2, c.height / 2);
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}, true);
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Update();
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</script>
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</body>
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<p xmlns:cc="http://creativecommons.org/ns#" style="font-size: 1vw; bottom: 0px; position: absolute;">
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||||
This work is licensed under
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||||
<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>
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||||
65
index.html
65
index.html
@@ -184,6 +184,71 @@
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<t>Other example problem from chapter 4</t>
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</td>
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</tr>
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<tr>
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<td>
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<a href='4-9.html'>Problem 4-9</a>
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</td>
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<td>
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<t>Unequal masses</t>
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</td>
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</tr>
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<tr>
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||||
<td>
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<a href='4-11.html'>Problem 4-11</a>
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||||
</td>
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||||
<td>
|
||||
<t>Driven mass on a circle</t>
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</td>
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||||
</tr><tr>
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||||
<td>
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||||
<a href='4-12.html'>Problem 4-12</a>
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||||
</td>
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<td>
|
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<t>Springs on a circle</t>
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</td>
|
||||
</tr>
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<tr>
|
||||
<th colspan = "2">
|
||||
<t>Chapter 5: Conservation of energy and momentum</t>
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</th>
|
||||
</tr>
|
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</tr>
|
||||
<td>
|
||||
<a href='5-15and5-16.html'>Problems 5-15 and 5-16</a>
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||||
</td>
|
||||
<td>
|
||||
<t>Comparison of propelling a car elastically and inelastically</t>
|
||||
</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td>
|
||||
<a href='5-23.html'>Problem 5-23</a>
|
||||
</td>
|
||||
<td>
|
||||
<t>Basketball and tennis ball</t>
|
||||
</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td>
|
||||
<a href='5-29.html'>Problem 5-29</a>
|
||||
</td>
|
||||
<td>
|
||||
<t>Falling energy conserving chain (only mostly correct)</t>
|
||||
</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<th colspan = "2">
|
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<t>Chapter 6: The Lagrangian method</t>
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||||
</th>
|
||||
</tr>
|
||||
<tr>
|
||||
<td>
|
||||
<a href='springPendulum.html'>Spring pendulum</a>
|
||||
</td>
|
||||
<td>
|
||||
<t>Spring pendulum example problem</t>
|
||||
</td>
|
||||
</tr>
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||||
<tr>
|
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<th colspan = "2">
|
||||
<t>Chapter 8: Angular momentum part 1</t>
|
||||
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152
springPendulum.html
Normal file
152
springPendulum.html
Normal file
@@ -0,0 +1,152 @@
|
||||
<!--
|
||||
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>
|
||||
Spring Pendulum Example
|
||||
</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 = 0.02;
|
||||
var t = 0;
|
||||
var g = 98;
|
||||
var l = 200;
|
||||
var x = 0;
|
||||
var xp = 0;
|
||||
var theta = Math.PI / 8;
|
||||
var thetap = 0;
|
||||
var m = 1;
|
||||
var k = 2;
|
||||
//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);
|
||||
|
||||
function Clear(ctx)
|
||||
{
|
||||
ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
|
||||
}
|
||||
|
||||
function Update()
|
||||
{
|
||||
Clear(ctx);
|
||||
Draw();
|
||||
t += dt;
|
||||
xp += (m * (l + x) * thetap * thetap + m * g * Math.cos(theta) - k * x) * dt / m;
|
||||
thetap += (-m * g * Math.sin(theta) - 2 * m * xp * thetap) * dt / (m * (l + x));
|
||||
x += xp * dt;
|
||||
theta += thetap * dt;
|
||||
setTimeout(Update, 1);
|
||||
}
|
||||
|
||||
function Reset()
|
||||
{
|
||||
theta = 0;
|
||||
x = 0;
|
||||
thetap = 0;
|
||||
xp = 0;
|
||||
t = 0;
|
||||
}
|
||||
|
||||
function Draw()
|
||||
{
|
||||
ctx.beginPath();
|
||||
ctx.moveTo(-c.width, yPos);
|
||||
ctx.lineTo(c.width, yPos);
|
||||
ctx.stroke();
|
||||
drawSpring(xPos, 0, xPos + (l + x) * Math.sin(theta), - (l + x) * Math.cos(theta), 1, 3, 10, 10);
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos + (l + x) * Math.sin(theta), yPos - (l + x) * Math.cos(theta), 10, 0, Math.PI * 2);
|
||||
ctx.fill();
|
||||
}
|
||||
|
||||
function drawSpring(x1, y1, x2, y2, a, b, perpSize, numLoops, tStep = 0.1)
|
||||
{
|
||||
ctx.translate(0, yPos);
|
||||
if (Math.sign(theta) == 1)
|
||||
{
|
||||
ctx.rotate(Math.atan((y2 - y1) / (x2 - x1)) * (Math.sign(theta)));
|
||||
} else
|
||||
{
|
||||
ctx.rotate(Math.PI - Math.atan((y2 - y1) / (x2 - x1)) * (Math.sign(theta)));
|
||||
}
|
||||
var xSize = Math.sqrt(((x1 - x2) ** 2 + (y1 - y2) ** 2));
|
||||
var tStart = Math.PI / 2;
|
||||
var tEnd = (3 * Math.PI / 2) + (2 * Math.PI * numLoops);
|
||||
var xEnd = a * tEnd - b * Math.sin(tEnd);
|
||||
var yEnd = a + b;
|
||||
var xFactor = xSize / xEnd;
|
||||
var yFactor = perpSize / yEnd;
|
||||
var xShift = x1 - a * (Math.PI / 2) + b * Math.sin(Math.PI / 2);
|
||||
var yShift = y1 - a + b * Math.cos(Math.PI / 2);
|
||||
for (p = tStart; p <= tEnd; p += tStep)
|
||||
{
|
||||
ctx.beginPath();
|
||||
ctx.moveTo(xShift + xFactor * (a * p - b * Math.sin(p)), yShift + yFactor * (a - b * Math.cos(p)));
|
||||
ctx.lineTo(xShift + xFactor * (a * (p + tStep) - b * Math.sin(p + tStep)), yShift + yFactor * (a - b * Math.cos(p + tStep)));
|
||||
ctx.stroke();
|
||||
}
|
||||
if (Math.sign(theta) == 1)
|
||||
{
|
||||
console.log("sign = 1");
|
||||
ctx.rotate(-Math.atan((y2 - y1) / (x2 - x1)) * (Math.sign(theta)));
|
||||
} else
|
||||
{
|
||||
console.log("sign = -1");
|
||||
ctx.rotate(-Math.PI + Math.atan((y2 - y1) / (x2 - x1)) * (Math.sign(theta)));
|
||||
}
|
||||
ctx.translate(0, -yPos);
|
||||
}
|
||||
|
||||
|
||||
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>
|
||||
Reference in New Issue
Block a user