10. Draw a free body diagram of the meter stick in the space below. Make sure to correctly indicate where on the meter stick each force acts. V and H are the components of the force on the pivot point of the meter stick H X CM pivot point 11. Calculate the magnitude of the torque due to the weight (force of gravity) of the meter stick, using t=rF sine. Show your calculation and record your result below. Tgravity = Nm 12. You should find that the magnitude of the torque due to gravity (tgravity) and the magnitude of the torque due to the tension in the string (Tiension) are very close, since the two torques must balance out for the meter stick to not rotate. To calculate the % difference between two values (Vi and v2), use: V1 - v2 •× 100 Vavg % difference = % difference = %3D
10. Draw a free body diagram of the meter stick in the space below. Make sure to correctly indicate where on the meter stick each force acts. V and H are the components of the force on the pivot point of the meter stick H X CM pivot point 11. Calculate the magnitude of the torque due to the weight (force of gravity) of the meter stick, using t=rF sine. Show your calculation and record your result below. Tgravity = Nm 12. You should find that the magnitude of the torque due to gravity (tgravity) and the magnitude of the torque due to the tension in the string (Tiension) are very close, since the two torques must balance out for the meter stick to not rotate. To calculate the % difference between two values (Vi and v2), use: V1 - v2 •× 100 Vavg % difference = % difference = %3D
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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pivot Position = 1.0 cm
center of mass position = 50.0 cm
weight of meter stick = 1.517 N
Transcribed Image Text:### Data Table: Torque Calculation
This data table presents measurements related to torque calculations where force is applied at different string positions. Below is a detailed transcription of the table:
| **String Position (cm)** | **F (N)** | **r (m)** | **τ (Nm)** |
|--------------------------|-----------|-----------|------------|
| 90.0 | 0.842 | 0.89 | 0.74938 |
| 80.0 | 0.945 | 0.79 | 0.74655 |
| 70.0 | 1.082 | 0.69 | 0.74658 |
| 60.0 | 1.272 | 0.59 | 0.75048 |
| 50.0 | 1.525 | 0.49 | 0.74725 |
| 40.0 | 1.917 | 0.39 | 0.74763 |
| 30.0 | 2.581 | 0.29 | 0.74849 |
| 20.0 | 3.882 | 0.19 | 0.73758 |
#### Table Explanation:
- **String Position (cm):** Indicates the position along the string in centimeters where the force is applied.
- **F (N):** Represents the force applied in Newtons.
- **r (m):** Denotes the lever arm distance in meters.
- **τ (Nm):** Indicates the torque produced in Newton-meters.
The table shows the relationship between the applied force, the distance from the pivot point, and the resulting torque. The data suggests that as the string position decreases, the force increases while the distance decreases, resulting in slight variations in torque values.
![**Educational Content:**
### Torque and Equilibrium Analysis
**10. Free Body Diagram:**
- **Diagram Explanation:**
- The diagram shows a horizontal meter stick with a pivot point on the left.
- Vertical (V) and horizontal (H) components of the force are shown at the pivot point.
- The stick is labeled with a length marked in centimeters (× CM).
**11. Calculating Torque Due to Gravity:**
- Use the formula for torque: \(\tau = r \cdot F \cdot \sin \theta\).
- Determine the torque due to the weight of the meter stick and calculate the result.
\[\tau_{\text{gravity}} = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \text{Nm}\]
**12. Torque Equilibrium Analysis:**
- The torques due to gravity (\(\tau_{\text{gravity}}\)) and the tension in the string (\(\tau_{\text{tension}}\)) should be close since they balance each other for equilibrium (no rotation).
- To find the percent difference between two values (\(v_1\) and \(v_2\)), use:
\[
\text{\% difference} = \frac{v_1 - v_2}{v_{\text{avg}}} \times 100
\]
\[\text{\% difference} = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56747038-88d2-45a2-87b0-6373049be49b%2F58aba01a-9a22-402e-b677-7b0ea25bde6a%2Fvxo1ycb_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Content:**
### Torque and Equilibrium Analysis
**10. Free Body Diagram:**
- **Diagram Explanation:**
- The diagram shows a horizontal meter stick with a pivot point on the left.
- Vertical (V) and horizontal (H) components of the force are shown at the pivot point.
- The stick is labeled with a length marked in centimeters (× CM).
**11. Calculating Torque Due to Gravity:**
- Use the formula for torque: \(\tau = r \cdot F \cdot \sin \theta\).
- Determine the torque due to the weight of the meter stick and calculate the result.
\[\tau_{\text{gravity}} = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \text{Nm}\]
**12. Torque Equilibrium Analysis:**
- The torques due to gravity (\(\tau_{\text{gravity}}\)) and the tension in the string (\(\tau_{\text{tension}}\)) should be close since they balance each other for equilibrium (no rotation).
- To find the percent difference between two values (\(v_1\) and \(v_2\)), use:
\[
\text{\% difference} = \frac{v_1 - v_2}{v_{\text{avg}}} \times 100
\]
\[\text{\% difference} = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_]
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