College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
Graph the following 4 forces listed in the table by using a protractor and a ruler to draw to the graph.
![**Static Equilibrium with Four Forces** *(All four angles cannot be 90 degrees)*
| | Mass (Kg) | \[F = 9.8 \, \text{m/s}^2 \times \text{mass}\] | Angle in degrees | \[F_x = F \cos \theta\] | \[F_y = F \sin \theta\] |
|-------------|-----------|-----------------------------------------------|-----------------|------------------------|-----------------------|
| **Force 1** | 0.085 kg | 0.86 N | 12 | 0.81 | -0.73 |
| **Force 2** | 0.055 kg | 0.539 N | 67 | 0.210 | 0.17 |
| **Force 3** | 0.106 kg | 1.03 N | 175 | -1.035 | 0.50 |
| **Force 4** | 0.075 kg | 0.735 N | 275 | 0.06 | 0.09 |
**Sum of x component and y component of each force:**
\[ \rightarrow \] \( \sum F_x = 0.04 \)
\[ \sum F_y = 0.03 \)
---
This table displays the data for a static equilibrium scenario involving four forces. Each force is defined by its mass, force magnitude, angle in degrees, and x and y components calculated using trigonometric functions.
**Graph/Diagram Explanation:**
The lower part of the image is a grid, which can be used for plotting the forces and their components. Each grid cell can represent units to help visualize how the forces interact in a two-dimensional plane. The equilibrium condition is when the sum of the forces in both x and y directions is close to zero, indicating that the system is in balance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb17b42cf-4900-4684-bd30-48d930c463a4%2Fcdaea211-69df-432d-ad56-0fa0634eb147%2Ffm6m5r.png&w=3840&q=75)
Transcribed Image Text:**Static Equilibrium with Four Forces** *(All four angles cannot be 90 degrees)*
| | Mass (Kg) | \[F = 9.8 \, \text{m/s}^2 \times \text{mass}\] | Angle in degrees | \[F_x = F \cos \theta\] | \[F_y = F \sin \theta\] |
|-------------|-----------|-----------------------------------------------|-----------------|------------------------|-----------------------|
| **Force 1** | 0.085 kg | 0.86 N | 12 | 0.81 | -0.73 |
| **Force 2** | 0.055 kg | 0.539 N | 67 | 0.210 | 0.17 |
| **Force 3** | 0.106 kg | 1.03 N | 175 | -1.035 | 0.50 |
| **Force 4** | 0.075 kg | 0.735 N | 275 | 0.06 | 0.09 |
**Sum of x component and y component of each force:**
\[ \rightarrow \] \( \sum F_x = 0.04 \)
\[ \sum F_y = 0.03 \)
---
This table displays the data for a static equilibrium scenario involving four forces. Each force is defined by its mass, force magnitude, angle in degrees, and x and y components calculated using trigonometric functions.
**Graph/Diagram Explanation:**
The lower part of the image is a grid, which can be used for plotting the forces and their components. Each grid cell can represent units to help visualize how the forces interact in a two-dimensional plane. The equilibrium condition is when the sum of the forces in both x and y directions is close to zero, indicating that the system is in balance.
Expert Solution
Step 1
We don't provide handwritten solutions/diagrams. We have drawn the required graphs digitally. You can easily replicate these on pen and paper.
Graph 1. For Force-1
Graph 2. For Force-2
Graph 3. For Force-3
Graph 4. For Force-4
Graph 5. For Force-5
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