A force of P = 20 N is applied to the cable, which causes the 245-kg reel to turn without slipping on the two rollers A and B of the dispenser. Neglect the mass of the cable. Each roller can be considered as an 18-kg cylinder, having a radius of 0.1 m. The radius of gyration of the reel about its center axis is kg = 0.42 m. (Figure 1) Figuro Determine the angular velocity of the reel, measured counterclockwise, after it has made two revolutions starting from rest. Express your answer using three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Problem Statement:**

A force of \( P = 20 \, \text{N} \) is applied to the cable, which causes the \( 245 \, \text{kg} \) reel to turn without slipping on the two rollers \( A \) and \( B \) of the dispenser. Neglect the mass of the cable. Each roller can be considered as an \( 18 \, \text{kg} \) cylinder, having a radius of \( 0.1 \, \text{m} \). The radius of gyration of the reel about its center axis is \( k_G = 0.42 \, \text{m} \).

**Figure Description:**

- The figure depicts a reel on two rollers, \( A \) and \( B \).
- The reel is labeled with a radius of \( 250 \, \text{mm} \) and a distance \( OG = 500 \, \text{mm} \).
- The distance between the two rollers \( A \) and \( B \) is \( 400 \, \text{mm} \).
- A force \( P \) is applied at a \( 30^\circ \) angle to the horizontal.

**Question:**

Determine the angular velocity of the reel, measured counterclockwise, after it has made two revolutions starting from rest.

Express your answer using three significant figures. Enter a positive value if the angular velocity is counterclockwise and a negative value if it is clockwise.

\[
\omega = \quad \text{rad/s}
\]

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Transcribed Image Text:**Problem Statement:** A force of \( P = 20 \, \text{N} \) is applied to the cable, which causes the \( 245 \, \text{kg} \) reel to turn without slipping on the two rollers \( A \) and \( B \) of the dispenser. Neglect the mass of the cable. Each roller can be considered as an \( 18 \, \text{kg} \) cylinder, having a radius of \( 0.1 \, \text{m} \). The radius of gyration of the reel about its center axis is \( k_G = 0.42 \, \text{m} \). **Figure Description:** - The figure depicts a reel on two rollers, \( A \) and \( B \). - The reel is labeled with a radius of \( 250 \, \text{mm} \) and a distance \( OG = 500 \, \text{mm} \). - The distance between the two rollers \( A \) and \( B \) is \( 400 \, \text{mm} \). - A force \( P \) is applied at a \( 30^\circ \) angle to the horizontal. **Question:** Determine the angular velocity of the reel, measured counterclockwise, after it has made two revolutions starting from rest. Express your answer using three significant figures. Enter a positive value if the angular velocity is counterclockwise and a negative value if it is clockwise. \[ \omega = \quad \text{rad/s} \] **Submission Options:** - Submit - Request Answer **Feedback Section:** - Provide Feedback
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