The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity \( v_A = 0.84 \, \text{m/s} \) to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity \( \omega \) (positive if counterclockwise, negative if clockwise) of the reel.**Diagram Explanation:**- The image shows a telephone-cable reel. - There are two views: a front view and a side view.- The reel has two radii: - The larger radius: \( r = 1.91 \, \text{m} \) - The smaller radius: \( R = 0.69 \, \text{m} \)- Point A on the cable has a velocity vector \( v_A \) pointing to the right.- The center of the reel is labeled as O.**Answers:**\[v_O = \boxed{1.315} \, \text{m/s}\]\[\omega = \boxed{1.376} \, \text{rad/s}\]

Answered: Image /qna-images/answer/1a20752f-e31c-41b5-a864-6276ffd8ba24.jpg

The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VA = 0.84 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel.

The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VA = 0.84 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel.

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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Question

The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity \( v_A = 0.84 \, \text{m/s} \) to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity \( \omega \) (positive if counterclockwise, negative if clockwise) of the reel.

**Diagram Explanation:**
- The image shows a telephone-cable reel.
- There are two views: a front view and a side view.
- The reel has two radii:
- The larger radius: \( r = 1.91 \, \text{m} \)
- The smaller radius: \( R = 0.69 \, \text{m} \)
- Point A on the cable has a velocity vector \( v_A \) pointing to the right.
- The center of the reel is labeled as O.

**Answers:**

\[
v_O = \boxed{1.315} \, \text{m/s}
\]

\[
\omega = \boxed{1.376} \, \text{rad/s}
\]

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