3-8, 3-31, 3-32, and throwing a ball

2021-08-30 15:31:44 -07:00
parent 8ff3055c97
commit d371cc2d51
5 changed files with 636 additions and 0 deletions
--- a/3-8.html
+++ b/3-8.html
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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 3-8
+        </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 = 200;
+        var mPlane = 0.5;
+        var mBlock = 1;
+        var th = Math.PI / 6;
+        var planeLength = 100;
+        var blockSideLength = 10;
+        var planePosition = 0;
+        var blockPositionX = 0;
+        var blockPositionY = 0;
+        var planeVelocity = 0;
+        var blockVelocityX = 0;
+        var blockVelocityY = 0;
+        var planeAcceleration = 0;
+        var blockAccelerationX = 0;
+        var blockAccelerationY = 0;
+        calcAccelerations();
+        //Relative position of canvas
+        var xPos = 0;
+        var yPos = 0;
+        //Moves and scales canvas
+        ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2)
+        ctx.scale(1, -1);
+
+        function calcAccelerations()
+        {
+            planeAcceleration = -mBlock * g * Math.sin(th) * Math.cos(th) / (mPlane + mBlock * Math.sin(th) * Math.sin(th));
+            blockAccelerationX = -planeAcceleration * mPlane / mBlock;
+            blockAccelerationY = -g - (mPlane * planeAcceleration * Math.cos(th)) / (mBlock * Math.sin(th));
+        }
+
+        function Reset()
+        {
+            planePosition = 0;
+            blockPositionX = 0;
+            blockPositionY = 0;
+            planeVelocity = 0;
+            blockVelocityX = 0;
+            blockVelocityY = 0;   
+            calcAccelerations();
+        }
+        Reset();
+
+        function Clear(ctx)
+        {
+            ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
+        }
+
+        function Update()
+        {
+            Clear(ctx);
+            Draw();
+            t += dt;
+            if (t > 0.7)
+            {
+                //Reset();
+            }
+            planeVelocity += planeAcceleration * dt;
+            planePosition += planeVelocity * dt;
+            blockVelocityX += blockAccelerationX * dt;
+            blockVelocityY += blockAccelerationY * dt;
+            blockPositionX += blockVelocityX * dt;
+            blockPositionY += blockVelocityY * dt;
+            setTimeout(Update, 1000/60);
+        }
+    
+        function Draw()
+        {
+            ctx.beginPath();
+            ctx.moveTo(-c.width, yPos);
+            ctx.lineTo(c.width, yPos);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(planePosition, yPos);
+            ctx.lineTo(planePosition, yPos + Math.tan(th) * planeLength);
+            ctx.lineTo(planePosition + planeLength, yPos);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos + blockPositionX + planeLength - 90, yPos + blockPositionY + 90 * Math.tan(th));
+            ctx.lineTo(xPos + blockPositionX + planeLength - 90 + blockSideLength * Math.cos(Math.PI / 2 - th), yPos + blockPositionY + 90 * Math.tan(th) + blockSideLength * Math.sin(Math.PI / 2 - th));
+            ctx.lineTo(xPos + blockPositionX + planeLength - 90 + blockSideLength * (Math.cos(Math.PI / 2 - th) + Math.cos(th)), yPos + blockPositionY + 90 * Math.tan(th) + blockSideLength * (Math.sin(Math.PI / 2 - th) - Math.sin(th)));
+            ctx.lineTo(xPos + blockPositionX + planeLength - 90 + blockSideLength * Math.cos(th), yPos + blockPositionY + 90 * Math.tan(th) - blockSideLength * Math.sin(th));
+            ctx.lineTo(xPos + blockPositionX + planeLength - 90, yPos + blockPositionY + 90 * Math.tan(th));
+            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>