Determine the range of cylinder weight W for which the system shown below will be in equilibrium. The coefficient of friction between the 80 lb. block and the incline plane is 0.2 and that between the cord and cylindrical support is 0.3.

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

Determine the range of cylinder weight \( W \) for which the system shown will be in equilibrium. The coefficient of friction between the 80 lb. block and the incline plane is 0.2 and that between the cord and cylindrical support is 0.3.

**Diagram Explanation:**

The diagram shows an 80 lb block resting on a 30-degree inclined plane. The block is connected via a cord that passes over a cylindrical support. The other end of the cord is attached to a hanging cylinder with weight \( W \).

- **Block on Incline:** 
  - Weight of the block is 80 lb.
  - Incline angle is 30 degrees.
  - Coefficient of friction (\( \mu \)) between the block and the incline is 0.2.
  
- **Cord and Support:**
  - Cord passes over a cylindrical support with a coefficient of friction (\( \mu \)) of 0.3 between the cord and the support.

- **Weight \( W \):**
  - The weight of the cylinder, which needs to be determined for equilibrium.

**Objective:**

Calculate the range of \( W \) such that the system remains in equilibrium considering the given coefficients of friction and the weights involved.
Transcribed Image Text:**Problem Statement:** Determine the range of cylinder weight \( W \) for which the system shown will be in equilibrium. The coefficient of friction between the 80 lb. block and the incline plane is 0.2 and that between the cord and cylindrical support is 0.3. **Diagram Explanation:** The diagram shows an 80 lb block resting on a 30-degree inclined plane. The block is connected via a cord that passes over a cylindrical support. The other end of the cord is attached to a hanging cylinder with weight \( W \). - **Block on Incline:** - Weight of the block is 80 lb. - Incline angle is 30 degrees. - Coefficient of friction (\( \mu \)) between the block and the incline is 0.2. - **Cord and Support:** - Cord passes over a cylindrical support with a coefficient of friction (\( \mu \)) of 0.3 between the cord and the support. - **Weight \( W \):** - The weight of the cylinder, which needs to be determined for equilibrium. **Objective:** Calculate the range of \( W \) such that the system remains in equilibrium considering the given coefficients of friction and the weights involved.
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