From 3cb8abfd8f958931aad6adcf6ff31f1ef0f2559c Mon Sep 17 00:00:00 2001
From: rgeorgi <russellgeorgi@gmail.com>
Date: Sat, 28 Aug 2021 13:57:05 -0700
Subject: [PATCH] 3-27 through 3-29

---
 3-27.html | 161 +++++++++++++++++++++++++++++++++++++++++++++++++++
 3-28.html | 161 +++++++++++++++++++++++++++++++++++++++++++++++++++
 3-29.html | 169 ++++++++++++++++++++++++++++++++++++++++++++++++++++++
 3 files changed, 491 insertions(+)
 create mode 100644 3-27.html
 create mode 100644 3-28.html
 create mode 100644 3-29.html
diff --git a/3-27.html b/3-27.html
new file mode 100644
index 0000000..7199478
--- /dev/null
+++ b/3-27.html
@@ -0,0 +1,161 @@
+<!--
+    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 3-2
+        </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 = 98;
+        var m1 = 1;
+        var m2 = 2;
+        var y1 = 0;
+        var y2 = 0;
+        var v1 = 0;
+        var v2 = 0;
+        var a1 = 0;
+        var a2 = 0;
+        calcAccelerations();
+        //Relative position of canvas
+        var xPos = 0;
+        var yPos = 90;
+        //Moves and scales canvas
+        ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2)
+        ctx.scale(1.5, -1.5);
+
+        function calcAccelerations()
+        {
+            a1 = -4 * g / 9;
+            a2 = g / 9;
+        }
+
+        function Clear(ctx)
+        {
+            ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
+        }
+
+        function Update()
+        {
+            Clear(ctx);
+            Draw();
+            t += dt;
+            v1 += a1 * dt;
+            v2 += a2 * dt;
+            y1 += v1 * dt;
+            y2 += v2 * dt;
+            if (y2 > 60)
+            {
+                Reset();
+            }
+            setTimeout(Update, 5);
+        }
+
+        function Reset()
+        {
+            y1 = 0;
+            y2 = 0;
+            v1 = 0;
+            v2 = 0;
+        }
+    
+        function Draw()
+        {
+            ctx.beginPath();
+            ctx.moveTo(-c.width, yPos + 50);
+            ctx.lineTo(c.width, yPos + 50);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos, yPos + 50);
+            ctx.lineTo(xPos, yPos);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos, yPos, 20, 0, Math.PI * 2);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos - 20, yPos);
+            ctx.lineTo(xPos - 20, yPos - (100 - y1));
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos - 20, yPos - (100 - y1), Math.PI * Math.sqrt(m1), 0, Math.PI * 2);
+            ctx.fill();
+            ctx.beginPath();
+            ctx.moveTo(xPos + 20, yPos);
+            ctx.lineTo(xPos + 20, yPos - (100 + y1 / 4));
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos + 40, yPos - (100 + y1 / 4), 20, 0, Math.PI * 2);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos + 40, yPos - (100 + y1 / 4));
+            ctx.lineTo(xPos + 40, yPos - (200 - y2));
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos + 40, yPos + 50);
+            ctx.lineTo(xPos + 40, yPos);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos + 30, yPos);
+            ctx.lineTo(xPos + 20, yPos - (100 + y1 / 4));
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos + 50, yPos);
+            ctx.lineTo(xPos + 60, yPos - (100 + y1 / 4));
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos + 40, yPos, 10, 0, Math.PI * 2);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos + 60, yPos - (100 + y1 / 4));
+            ctx.lineTo(xPos + 60, yPos + 50);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos + 40, yPos - (200 - y2), Math.PI * Math.sqrt(m2), 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(1.5, -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>
\ No newline at end of file
diff --git a/3-28.html b/3-28.html
new file mode 100644
index 0000000..646358c
--- /dev/null
+++ b/3-28.html
@@ -0,0 +1,161 @@
+<!--
+    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 3-2
+        </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 = 98;
+        var m1 = 1;
+        var m2 = 1;
+        var y1 = 0;
+        var y2 = 0;
+        var v1 = 0;
+        var v2 = 0;
+        var a1 = 0;
+        var a2 = 0;
+        calcAccelerations();
+        //Relative position of canvas
+        var xPos = 0;
+        var yPos = 90;
+        //Moves and scales canvas
+        ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2)
+        ctx.scale(1.5, -1.5);
+
+        function calcAccelerations()
+        {
+            a1 = -3 * g / 5;
+            a2 = g / 5;
+        }
+
+        function Clear(ctx)
+        {
+            ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
+        }
+
+        function Update()
+        {
+            Clear(ctx);
+            Draw();
+            t += dt;
+            v1 += a1 * dt;
+            v2 += a2 * dt;
+            y1 += v1 * dt;
+            y2 += v2 * dt;
+            if (y2 > 70)
+            {
+                Reset();
+            }
+            setTimeout(Update, 5);
+        }
+
+        function Reset()
+        {
+            y1 = 0;
+            y2 = 0;
+            v1 = 0;
+            v2 = 0;
+        }
+    
+        function Draw()
+        {
+            ctx.beginPath();
+            ctx.moveTo(-c.width, yPos + 50);
+            ctx.lineTo(c.width, yPos + 50);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos, yPos + 50);
+            ctx.lineTo(xPos, yPos);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos, yPos, 20, 0, Math.PI * 2);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos - 20, yPos);
+            ctx.lineTo(xPos - 20, yPos - (100 - y1));
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos - 20, yPos - (100 - y1), Math.PI * Math.sqrt(m1), 0, Math.PI * 2);
+            ctx.fill();
+            ctx.beginPath();
+            ctx.moveTo(xPos + 20, yPos);
+            ctx.lineTo(xPos + 20, yPos - (100 + y1 / 4));
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos + 40, yPos - (100 + y1 / 4), 20, 0, Math.PI * 2);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos + 40, yPos);
+            ctx.lineTo(xPos + 40, yPos - (200 - y2));
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos + 50, yPos + 50);
+            ctx.lineTo(xPos + 50, yPos);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos + 50, yPos, 10, 0, Math.PI * 2);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos + 60, yPos - (100 + y1 / 4));
+            ctx.lineTo(xPos + 60, yPos);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos + 40, yPos - (200 - y2), Math.PI * Math.sqrt(m2), 0, Math.PI * 2);
+            ctx.fill();
+            ctx.fillStyle = "#ffffff"
+            ctx.beginPath();
+            ctx.arc(xPos + 40, yPos - (100 + y1 / 4), 2, 0, Math.PI * 2);
+            ctx.fill();
+            ctx.beginPath();
+            ctx.arc(xPos + 40, yPos - (100 + y1 / 4), 2, 0, Math.PI * 2);
+            ctx.stroke();
+            ctx.fillStyle = "#000000"
+        }
+
+
+        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>
\ No newline at end of file
diff --git a/3-29.html b/3-29.html
new file mode 100644
index 0000000..daff528
--- /dev/null
+++ b/3-29.html
@@ -0,0 +1,169 @@
+<!--
+    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 3-2
+        </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 = 98;
+        var m1 = 1;
+        var m2 = 2;
+        var m3 = 3;
+        var y1 = 0;
+        var y2 = 0;
+        var y3 = 0;
+        var v1 = 0;
+        var v2 = 0;
+        var v3 = 0;
+        var a1 = 0;
+        var a2 = 0;
+        var a3 = 0;
+        calcAccelerations();
+        //Relative position of canvas
+        var xPos = 0;
+        var yPos = 90;
+        //Moves and scales canvas
+        ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2)
+        ctx.scale(1.5, -1.5);
+
+        function calcAccelerations()
+        {
+            a1 = g / 5;
+            a2 = g / 5;
+            a3 = -3 * g / 5; 
+        }
+
+        function Clear(ctx)
+        {
+            ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
+        }
+
+        function Update()
+        {
+            Clear(ctx);
+            Draw();
+            t += dt;
+            v1 += a1 * dt;
+            v2 += a2 * dt;
+            v3 += a3 * dt;
+            y1 += v1 * dt;
+            y2 += v2 * dt;
+            y3 += v3 * dt;
+            if (y1 > 70)
+            {
+                Reset();
+            }
+            setTimeout(Update, 5);
+        }
+
+        function Reset()
+        {
+            y1 = 0;
+            y2 = 0;
+            y3 = 0;
+            v1 = 0;
+            v2 = 0;
+            v3 = 0;
+        }
+    
+        function Draw()
+        {
+            ctx.beginPath();
+            ctx.moveTo(-c.width, yPos + 50);
+            ctx.lineTo(c.width, yPos + 50);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos, yPos + 50);
+            ctx.lineTo(xPos, yPos);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos, yPos, 20, 0, Math.PI * 2);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos - 20, yPos);
+            ctx.lineTo(xPos - 20, yPos - (100 - y1));
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos - 20, yPos - (100 - y1), Math.PI * Math.sqrt(m1), 0, Math.PI * 2);
+            ctx.fill();
+            ctx.beginPath();
+            ctx.moveTo(xPos + 20, yPos);
+            ctx.lineTo(xPos + 20, yPos + y2 - 100);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos + 40, yPos + y2 - 100, 20, 0, Math.PI * 2);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos + 40, yPos + y2 - 100);
+            ctx.lineTo(xPos + 40, yPos - (200 - y2));
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.moveTo(xPos + 60, yPos + y2 - 100);
+            ctx.lineTo(xPos + 60, yPos);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos + 40, yPos - (200 - y2), Math.PI * Math.sqrt(m2), 0, Math.PI * 2);
+            ctx.fill();
+            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 + y3 - 100);
+            ctx.stroke();
+            ctx.beginPath();
+            ctx.arc(xPos + 100, yPos + y3 - 100, Math.PI * Math.sqrt(m3), 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(1.5, -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>
\ No newline at end of file
