The 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is μk = 0.13. The radius of gyration about the mass center is kG = 0.22 m  Determine the angular velocity of the spool, measured clockwise, when t = 7 s after it is released from rest. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is μk = 0.13. The radius of gyration about the mass center is kG = 0.22 m 

Determine the angular velocity of the spool, measured clockwise, when t = 7 s after it is released from rest. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise

**Problem Statement:**

The 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is \( \mu_k = 0.13 \). The radius of gyration about the mass center is \( k_G = 0.22 \, \text{m} \). (Refer to Figure 1)

**Task:**

Determine the angular velocity of the spool, measured clockwise, when \( t = 7 \, \text{s} \) after it is released from rest.

**Instructions:**

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

**Input Box:**

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

**Options:**
- Submit
- Request Answer
- Return to Assignment
- Provide Feedback

**Figure Description:**

- The diagram shows a spool on an inclined plane, inclined at 30 degrees to the horizontal.
- The spool has a radius of 0.2 meters and the distance from point A to the edge of the plane is 0.4 meters.
- A schematic representation indicates the center of the spool labeled \( G \).

**Explanation:**

To solve the problem, consider the forces acting on the spool due to gravity and friction, and use the equations of motion to find the angular velocity after 7 seconds.
Transcribed Image Text:**Problem Statement:** The 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is \( \mu_k = 0.13 \). The radius of gyration about the mass center is \( k_G = 0.22 \, \text{m} \). (Refer to Figure 1) **Task:** Determine the angular velocity of the spool, measured clockwise, when \( t = 7 \, \text{s} \) after it is released from rest. **Instructions:** Express your answer using three significant figures. Enter a positive value if the angular velocity is clockwise and a negative value if the angular velocity is counterclockwise. **Input Box:** \[ \omega = \, \_\_\_ \, \text{rad/s} \] **Options:** - Submit - Request Answer - Return to Assignment - Provide Feedback **Figure Description:** - The diagram shows a spool on an inclined plane, inclined at 30 degrees to the horizontal. - The spool has a radius of 0.2 meters and the distance from point A to the edge of the plane is 0.4 meters. - A schematic representation indicates the center of the spool labeled \( G \). **Explanation:** To solve the problem, consider the forces acting on the spool due to gravity and friction, and use the equations of motion to find the angular velocity after 7 seconds.
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