2 'aond 2) In figures 3 and 4, AM = 14.4cm, F2 = 165gm-wt and 02 = 56.0 degrees. Calculate Torque of F2 about the point A and sense of rotation. 3 qustin 3) In figures 3 and 4, AN = 13.4cm, F3 = 75gm-wt and 03 = 79.0 degrees. Çalculate Torque of F3 about the point A and sense of rotation.
2 'aond 2) In figures 3 and 4, AM = 14.4cm, F2 = 165gm-wt and 02 = 56.0 degrees. Calculate Torque of F2 about the point A and sense of rotation. 3 qustin 3) In figures 3 and 4, AN = 13.4cm, F3 = 75gm-wt and 03 = 79.0 degrees. Çalculate Torque of F3 about the point A and sense of rotation.
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Transcribed Image Text:In figures 3 and 4, \(AM = 14 \, \text{cm}\), \(F_2 = 165 \, \text{gm-wt}\), and \(\theta_2 = 56.0 \, \text{degrees}\). Calculate the torque of \(F_2\) about the point \(A\) and the sense of rotation.
In figures 3 and 4, \(AN = 13.4 \, \text{cm}\), \(F_3 = 75 \, \text{gm-wt}\), and \(\theta_3 = 79.0 \, \text{degrees}\). Calculate the torque of \(F_3\) about the point \(A\) and the sense of rotation.
![### Text Transcription for Educational Website
**Section: Calculating Torques and Lever Arms**
5. Arrange the strings and weights as shown in Fig. 3 by attaching a sheet of paper on the board. Using the mirror strip, mark the lines of action of the forces \( F_1 \), \( F_2 \), and \( F_3 \), and the corners of the plastic strip (for finding the central axis \( AB \)).
#### Calculation of Torques
- **Torque** = force × lever arm
#### Lever Arms
- **Length \( AP_3 \)**:
\[
AP_3 = AT \sin \theta_1 = a_1 \sin \theta_1
\]
- **Length \( AP_2 \)**:
\[
AM \sin \theta_2 = a_2 \sin \theta_2
\]
- **Length \( AP_4 \)**:
\[
AS \sin \theta_3 = a_3 \sin \theta_3
\]
---
### Explanation of Diagrams
#### Fig. 3: Physical Setup
- This diagram shows a beam with a pivot at point \( A \), where forces \( F_2 \) and \( F_3 \) are exerted at different angles \( \theta_2 \) and \( \theta_3 \). The beam is in equilibrium, balancing these forces with a weight \( w \).
#### Fig. 4: Geometric Representation
- This diagram illustrates the geometric relationships and lever arms:
- Point \( A \) is the pivot.
- Point \( T \) shows the direction of force \( F_1 \) forming angle \( \theta_1 \).
- Point \( M \) is aligned with force \( F_2 \).
- Point \( N \) is aligned with force \( F_3 \).
- Each segment (e.g., \( AP_3 \), \( AP_2 \)) represents the lever arms used to calculate torques.
These diagrams are essential for understanding the equilibrium conditions and the role of lever arms – crucial concepts in the study of mechanics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86d5b315-251b-4afc-ade8-02046d912aca%2F287a8f21-1c1d-4090-af1f-0bcf9ba60994%2Fx14ghbr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Text Transcription for Educational Website
**Section: Calculating Torques and Lever Arms**
5. Arrange the strings and weights as shown in Fig. 3 by attaching a sheet of paper on the board. Using the mirror strip, mark the lines of action of the forces \( F_1 \), \( F_2 \), and \( F_3 \), and the corners of the plastic strip (for finding the central axis \( AB \)).
#### Calculation of Torques
- **Torque** = force × lever arm
#### Lever Arms
- **Length \( AP_3 \)**:
\[
AP_3 = AT \sin \theta_1 = a_1 \sin \theta_1
\]
- **Length \( AP_2 \)**:
\[
AM \sin \theta_2 = a_2 \sin \theta_2
\]
- **Length \( AP_4 \)**:
\[
AS \sin \theta_3 = a_3 \sin \theta_3
\]
---
### Explanation of Diagrams
#### Fig. 3: Physical Setup
- This diagram shows a beam with a pivot at point \( A \), where forces \( F_2 \) and \( F_3 \) are exerted at different angles \( \theta_2 \) and \( \theta_3 \). The beam is in equilibrium, balancing these forces with a weight \( w \).
#### Fig. 4: Geometric Representation
- This diagram illustrates the geometric relationships and lever arms:
- Point \( A \) is the pivot.
- Point \( T \) shows the direction of force \( F_1 \) forming angle \( \theta_1 \).
- Point \( M \) is aligned with force \( F_2 \).
- Point \( N \) is aligned with force \( F_3 \).
- Each segment (e.g., \( AP_3 \), \( AP_2 \)) represents the lever arms used to calculate torques.
These diagrams are essential for understanding the equilibrium conditions and the role of lever arms – crucial concepts in the study of mechanics.
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