From d8fe4e0b9924b6f7f6f79da7745642d68bef5436 Mon Sep 17 00:00:00 2001
From: brynnchernosky <56202540+brynnchernosky@users.noreply.github.com>
Date: Tue, 16 May 2023 21:22:46 -0400
Subject: finish tutorial

---
 .../PhysicsBox/PhysicsSimulationTutorial.json      | 136 ++++++++++++++++++++-
 1 file changed, 132 insertions(+), 4 deletions(-)

(limited to 'src/client/views/nodes/PhysicsBox/PhysicsSimulationTutorial.json')

diff --git a/src/client/views/nodes/PhysicsBox/PhysicsSimulationTutorial.json b/src/client/views/nodes/PhysicsBox/PhysicsSimulationTutorial.json
index 16d1de96c..3015deaa4 100644
--- a/src/client/views/nodes/PhysicsBox/PhysicsSimulationTutorial.json
+++ b/src/client/views/nodes/PhysicsBox/PhysicsSimulationTutorial.json
@@ -403,7 +403,7 @@
           },
           {
             "description": "Tension",
-            "magnitude": 16.68,
+            "magnitude": 11.77,
             "directionInDegrees": 90,
             "component": false
           }
@@ -423,14 +423,32 @@
         ],
         "showMagnitude": true
       },
-
       {
         "description": "Tension",
-        "content": "The force of tension acts in the positive y direction: π/2 rad. We know that the acceleration in a simple pulley system is  .",
+        "content": "The force of tension acts in the positive y direction: π/2 rad. We know that the acceleration in a simple pulley system is (mass  2 - mass 1) * acceleration due to gravity / (mass 1 + mass 2) = (1.5-1) * 9.81 / (1.5+1) = 1.962 m/s^2. Because the acceleration is caused by the force of gravity and force of tension, we can solve for the force of tension acting on the weight as mass 1 * (a + acceleration due to gravity) = 1 * (1.962+9.81) = 11.77.",
         "forces": [
           {
             "description": "Tension",
-            "magnitude": 16.68,
+            "magnitude": 11.77,
+            "directionInDegrees": 90,
+            "component": false
+          }
+        ],
+        "showMagnitude": true
+      },
+      {
+        "description": "All Forces",
+        "content": "Combining all of the forces, we get the following free body diagram.",
+        "forces": [
+          {
+            "description": "Gravity",
+            "magnitude": 9.81,
+            "directionInDegrees": 270,
+            "component": false
+          },
+          {
+            "description": "Tension",
+            "magnitude": 11.77,
             "directionInDegrees": 90,
             "component": false
           }
@@ -466,6 +484,116 @@
           }
         ],
         "showMagnitude": false
+      },
+      {
+      "description": "Force X Components",
+        "content": "There are two forces with x components to consider: the tension from the left rod and the tension from the right rod. These must cancel each other out so that the net x force is 0.",
+        "forces": [
+          {
+            "description": "Left Tension X Component",
+            "magnitude": 4.907,
+            "directionInDegrees": 180,
+            "component": true
+          },
+          {
+            "description": "Right Tension X Component",
+            "magnitude": 4.907,
+            "directionInDegrees": 0,
+            "component": true
+          }
+        ],
+        "showMagnitude": false
+      }, {
+      "description": "Force Y Components",
+      "content": "There are three forces with y components to consider: the tension from the left rod, the tension from the right rod, and the force of gravity.",
+      "forces": [
+        {
+          "description": "Left Tension Y Component",
+          "magnitude": 4.907,
+          "directionInDegrees": 90,
+          "component": true
+        },
+        {
+          "description": "Right Tension Y Component",
+          "magnitude": 4.907,
+          "directionInDegrees": 90,
+          "component": true
+        },
+        {
+          "description": "Gravity Y Component",
+          "magnitude": 9.81,
+          "directionInDegrees": 270,
+          "component": true
+        }
+      ],
+      "showMagnitude": false
+      }, {
+      "description": "Force Y Components",
+        "content": "The y components of forces must cancel each other out so that the net y force is 0. Thus, gravity = left tension y component + right tension y component. Because the x components of tension are the same and the angles of each rod are the same, the y components must be the same. Thus, the y component for each force of tension must be 9.81/2.",
+        "forces": [
+          {
+            "description": "Left Tension Y Component",
+            "magnitude": 4.907,
+            "directionInDegrees": 90,
+            "component": true
+          },
+          {
+            "description": "Right Tension Y Component",
+            "magnitude": 4.907,
+            "directionInDegrees": 90,
+            "component": true
+          },
+          {
+            "description": "Gravity Y Component",
+            "magnitude": 9.81,
+            "directionInDegrees": 270,
+            "component": true
+          }
+        ],
+        "showMagnitude": true
+      }, {
+      "description": "Tension",
+        "content": "Now that we know the y component of tension for each rod is 4.907, we can solve for the full force of tension as 4.907 = T * sin(45°) -> T = 6.94.",
+        "forces": [
+          {
+            "description": "Left Tension",
+            "magnitude": 6.94,
+            "directionInDegrees": 135,
+            "component": false
+          },
+          {
+            "description": "Right Tension",
+            "magnitude": 6.94,
+            "directionInDegrees": 45,
+            "component": false
+          }
+        ],
+        "showMagnitude": true
+      },
+      {
+        "description": "All Forces",
+        "content": "Combining all of the forces, we get the following free body diagram.",
+        "forces": [
+          {
+            "description": "Gravity",
+            "magnitude": 9.81,
+            "directionInDegrees": 270,
+            "component": false
+          },
+          {
+            "description": "Left Tension",
+            "magnitude": 6.94,
+            "directionInDegrees": 135,
+            "component": false
+          },
+          {
+            "description": "Right Tension",
+            "magnitude": 6.94,
+            "directionInDegrees": 45,
+            "component": false
+          }
+        ],
+        "showMagnitude": true
       }
     ]
   }
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