The ends of the 0.63-m bar remain in contact with their respective support surfaces. End B has a velocity of 0.40 m/s and an acceleration of 0.47 m/s² in the directions shown. Determine the angular acceleration a (positive if counterclockwise, negative if clockwise) of the bar and the acceleration of end A (positive if up, negative if down). 28 105° 0.63 m B -ag=0.47m/s² UB=0.40 m/s
The ends of the 0.63-m bar remain in contact with their respective support surfaces. End B has a velocity of 0.40 m/s and an acceleration of 0.47 m/s² in the directions shown. Determine the angular acceleration a (positive if counterclockwise, negative if clockwise) of the bar and the acceleration of end A (positive if up, negative if down). 28 105° 0.63 m B -ag=0.47m/s² UB=0.40 m/s
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![### Problem Statement:
The ends of the 0.63-m bar remain in contact with their respective support surfaces. End B has a velocity of 0.40 m/s and an acceleration of 0.47 m/s² in the directions shown. Determine the angular acceleration α (positive if counterclockwise, negative if clockwise) of the bar and the acceleration of end A (positive if up, negative if down).
### Diagram Explanation:
The provided diagram illustrates a bar leaning against a wall, forming an angle of 28° with the vertical wall and an angle of 105° with the horizontal ground. The bar's length is 0.63 meters. The diagram also shows the following data for end B:
- Velocity \(v_B\) = 0.40 m/s (to the right)
- Acceleration \(a_B\) = 0.47 m/s² (to the right)
### Required Calculations:
1. **Determine the angular acceleration (α) of the bar:**
- Use the given values for velocity and acceleration of end B to calculate the angular acceleration of the bar considering counterclockwise as positive and clockwise as negative.
2. **Compute the acceleration (a_A) of end A:**
- Determine the linear acceleration of end A, with the positive direction being upward and the negative direction being downward.
### Answers:
| \(\alpha \) | | rad/s² |
|-------------|---|----------|
| \(a_A \) | | m/s² |
To complete the calculations for these values, use the kinematic equations and principles of rotational motion as required for solving problems in mechanics involving rigid bodies.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c67b105-1a8e-425b-a8ad-195f3df08909%2F63725cd0-4318-4985-8f81-7b0c0d979973%2Fr037g7e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
The ends of the 0.63-m bar remain in contact with their respective support surfaces. End B has a velocity of 0.40 m/s and an acceleration of 0.47 m/s² in the directions shown. Determine the angular acceleration α (positive if counterclockwise, negative if clockwise) of the bar and the acceleration of end A (positive if up, negative if down).
### Diagram Explanation:
The provided diagram illustrates a bar leaning against a wall, forming an angle of 28° with the vertical wall and an angle of 105° with the horizontal ground. The bar's length is 0.63 meters. The diagram also shows the following data for end B:
- Velocity \(v_B\) = 0.40 m/s (to the right)
- Acceleration \(a_B\) = 0.47 m/s² (to the right)
### Required Calculations:
1. **Determine the angular acceleration (α) of the bar:**
- Use the given values for velocity and acceleration of end B to calculate the angular acceleration of the bar considering counterclockwise as positive and clockwise as negative.
2. **Compute the acceleration (a_A) of end A:**
- Determine the linear acceleration of end A, with the positive direction being upward and the negative direction being downward.
### Answers:
| \(\alpha \) | | rad/s² |
|-------------|---|----------|
| \(a_A \) | | m/s² |
To complete the calculations for these values, use the kinematic equations and principles of rotational motion as required for solving problems in mechanics involving rigid bodies.
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