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-rw-r--r--src/client/views/nodes/PhysicsBox/PhysicsSimulationBox.tsx80
-rw-r--r--src/client/views/nodes/PhysicsBox/PhysicsSimulationTutorial.json136
2 files changed, 207 insertions, 9 deletions
diff --git a/src/client/views/nodes/PhysicsBox/PhysicsSimulationBox.tsx b/src/client/views/nodes/PhysicsBox/PhysicsSimulationBox.tsx
index 7bb5d0e98..9741ddc3e 100644
--- a/src/client/views/nodes/PhysicsBox/PhysicsSimulationBox.tsx
+++ b/src/client/views/nodes/PhysicsBox/PhysicsSimulationBox.tsx
@@ -2105,7 +2105,6 @@ export default class PhysicsSimulationBox extends ViewBoxAnnotatableComponent<Fi
)}{" "}
{this.dataDoc.simulationPaused &&
this.dataDoc.simulationType != "Inclined Plane" &&
- this.dataDoc.simulationType != "Suspension" &&
this.dataDoc.simulationType != "Circular Motion" &&
this.dataDoc.simulationType != "Pulley" && (
<td
@@ -2114,18 +2113,54 @@ export default class PhysicsSimulationBox extends ViewBoxAnnotatableComponent<Fi
}}
>
<InputField
- lowerBound={0}
+ lowerBound={this.dataDoc.simulationType == "Projectile" ? 1 : (this.xMax + this.xMin) / 4 - this.radius - 15}
dataDoc={this.dataDoc}
prop={'positionXDisplay'}
step={1}
unit={"m"}
- upperBound={this.xMax - 110}
+ upperBound={this.dataDoc.simulationType == "Projectile" ? this.xMax - 110 : (3 * (this.xMax + this.xMin)) / 4 - this.radius / 2 - 15}
value={this.dataDoc.positionXDisplay}
effect={(value) => {
this.dataDoc.displayChange = ({
xDisplay: value,
yDisplay: this.dataDoc.positionYDisplay,
});
+ if (this.dataDoc['simulationType'] == "Suspension") {
+ let x1rod = (this.xMax + this.xMin) / 2 - this.radius - this.yMin - 200;
+ let x2rod = (this.xMax + this.xMin) / 2 + this.yMin + 200 + this.radius;
+ let deltaX1 = value + this.radius - x1rod;
+ let deltaX2 = x2rod - (value + this.radius);
+ let deltaY = this.getYPosFromDisplay(this.dataDoc.positionYDisplay) + this.radius;
+ let dir1T = Math.PI - Math.atan(deltaY / deltaX1);
+ let dir2T = Math.atan(deltaY / deltaX2);
+ let tensionMag2 =
+ (this.dataDoc.mass * Math.abs(this.dataDoc.gravity)) /
+ ((-Math.cos(dir2T) / Math.cos(dir1T)) * Math.sin(dir1T) +
+ Math.sin(dir2T));
+ let tensionMag1 =
+ (-tensionMag2 * Math.cos(dir2T)) / Math.cos(dir1T);
+ dir1T = (dir1T * 180) / Math.PI;
+ dir2T = (dir2T * 180) / Math.PI;
+ const tensionForce1: IForce = {
+ description: "Tension",
+ magnitude: tensionMag1,
+ directionInDegrees: dir1T,
+ component: false,
+ };
+ const tensionForce2: IForce = {
+ description: "Tension",
+ magnitude: tensionMag2,
+ directionInDegrees: dir2T,
+ component: false,
+ };
+ const grav: IForce = {
+ description: "Gravity",
+ magnitude: this.dataDoc.mass * Math.abs(this.dataDoc.gravity),
+ directionInDegrees: 270,
+ component: false,
+ };
+ this.dataDoc['updatedForces'] = ([tensionForce1, tensionForce2, grav]);
+ }
}}
small={true}
mode={"Freeform"}
@@ -2143,7 +2178,6 @@ export default class PhysicsSimulationBox extends ViewBoxAnnotatableComponent<Fi
)}{" "}
{this.dataDoc.simulationPaused &&
this.dataDoc.simulationType != "Inclined Plane" &&
- this.dataDoc.simulationType != "Suspension" &&
this.dataDoc.simulationType != "Circular Motion" &&
this.dataDoc.simulationType != "Pulley" && (
<td
@@ -2152,7 +2186,7 @@ export default class PhysicsSimulationBox extends ViewBoxAnnotatableComponent<Fi
}}
>
<InputField
- lowerBound={0}
+ lowerBound={1}
dataDoc={this.dataDoc}
prop={'positionYDisplay'}
step={1}
@@ -2164,6 +2198,42 @@ export default class PhysicsSimulationBox extends ViewBoxAnnotatableComponent<Fi
xDisplay: this.dataDoc.positionXDisplay,
yDisplay: value,
});
+ if (this.dataDoc['simulationType'] == "Suspension") {
+ let x1rod = (this.xMax + this.xMin) / 2 - this.radius - this.yMin - 200;
+ let x2rod = (this.xMax + this.xMin) / 2 + this.yMin + 200 + this.radius;
+ let deltaX1 = this.dataDoc.positionXDisplay + this.radius - x1rod;
+ let deltaX2 = x2rod - (this.dataDoc.positionXDisplay + this.radius);
+ let deltaY = this.getYPosFromDisplay(value) + this.radius;
+ let dir1T = Math.PI - Math.atan(deltaY / deltaX1);
+ let dir2T = Math.atan(deltaY / deltaX2);
+ let tensionMag2 =
+ (this.dataDoc.mass * Math.abs(this.dataDoc.gravity)) /
+ ((-Math.cos(dir2T) / Math.cos(dir1T)) * Math.sin(dir1T) +
+ Math.sin(dir2T));
+ let tensionMag1 =
+ (-tensionMag2 * Math.cos(dir2T)) / Math.cos(dir1T);
+ dir1T = (dir1T * 180) / Math.PI;
+ dir2T = (dir2T * 180) / Math.PI;
+ const tensionForce1: IForce = {
+ description: "Tension",
+ magnitude: tensionMag1,
+ directionInDegrees: dir1T,
+ component: false,
+ };
+ const tensionForce2: IForce = {
+ description: "Tension",
+ magnitude: tensionMag2,
+ directionInDegrees: dir2T,
+ component: false,
+ };
+ const grav: IForce = {
+ description: "Gravity",
+ magnitude: this.dataDoc.mass * Math.abs(this.dataDoc.gravity),
+ directionInDegrees: 270,
+ component: false,
+ };
+ this.dataDoc['updatedForces'] = ([tensionForce1, tensionForce2, grav]);
+ }
}}
small={true}
mode={"Freeform"}
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
}
]
}
generated by cgit v1.2.3-70-g09d2 (git 2.46.0) at 2025-10-07 10:36:59 +0000