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The motion of the collar at "A" is controlled by a motor at "B" such that when the collar is at SA = 3 ft it is moving upwards at 4 ft/s and is slowing down at 2 ft/s². Determine the velocity and acceleration of a point on the cable as it is being drawn into the motor "B" at this instant.

The motion of the collar at "A" is controlled by a motor at "B" such that when the collar is at SA = 3 ft it is moving upwards at 4 ft/s and is slowing down at 2 ft/s². Determine the velocity and acceleration of a point on the cable as it is being drawn into the motor "B" at this instant.

Elements Of Electromagnetics
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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**Text:** The motion of the collar at "A" is controlled by a motor at "B" such that when the collar is at \( S_A = 3 \, \text{ft} \), it is moving upwards at \( 4 \, \text{ft/s} \) and is slowing down at \( 2 \, \text{ft/s}^2 \). Determine the velocity and acceleration of a point on the cable as it is being drawn into the motor "B" at this instant. **Diagram Explanation:** The image shows a diagram with two vertical rods and a cable passing over a pulley system. A collar labeled "A" can move vertically along the left rod. The cable is connected from the collar to a pulley on the right, controlled by a motor labeled "B". The diagram provides the following details: - The vertical distance marked as \( S_A \) is the position of the collar. - The horizontal distance between the rods is labeled as \( 4 \, \text{ft} \). **Solution:** Answer: \( a_B = 3.248 \, \text{ft/s}^2 \) ↑
Transcribed Image Text:**Text:** The motion of the collar at "A" is controlled by a motor at "B" such that when the collar is at \( S_A = 3 \, \text{ft} \), it is moving upwards at \( 4 \, \text{ft/s} \) and is slowing down at \( 2 \, \text{ft/s}^2 \). Determine the velocity and acceleration of a point on the cable as it is being drawn into the motor "B" at this instant. **Diagram Explanation:** The image shows a diagram with two vertical rods and a cable passing over a pulley system. A collar labeled "A" can move vertically along the left rod. The cable is connected from the collar to a pulley on the right, controlled by a motor labeled "B". The diagram provides the following details: - The vertical distance marked as \( S_A \) is the position of the collar. - The horizontal distance between the rods is labeled as \( 4 \, \text{ft} \). **Solution:** Answer: \( a_B = 3.248 \, \text{ft/s}^2 \) ↑
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