The axle of the pulley is frozen and cannot rotate with respect to the block. Knowing that the coefficient of static friction between cable ABCD and the pulley varies between 0.0 and 0.55, determine (a) the corresponding values of 0 for the system to remain in equilibrium, (b) the corresponding reactions at A and D, and (c) plot 8 versus the coefficient of friction.

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 axle of the pulley is frozen and cannot rotate with respect to the block. Knowing that the coefficient of static friction between cable ABCD and the pulley varies between 0.0 and 0.55, determine (a) the corresponding values of θ for the system to remain in equilibrium, (b) the corresponding reactions at A and D, and (c) plot θ versus the coefficient of friction.

**Diagram Explanation:**

The diagram illustrates a pulley system:

- **Points A and D:** The cable is anchored at points A and D. Both points make an angle of 60° with the horizontal surface.
- **Pulley System:** The cable passes over a pulley at point B.
- **Force Vector:** A force of 200 N is applied at point F, which is below the pulley, making an angle θ with the vertical.
- **Cables:** The segment of the cable from A to B and D to B is shown.

This setup is used to determine the values of θ that maintain system equilibrium as the friction coefficient changes, and the reactions at points A and D. Additionally, plotting θ against the friction coefficient is needed.
Transcribed Image Text:The axle of the pulley is frozen and cannot rotate with respect to the block. Knowing that the coefficient of static friction between cable ABCD and the pulley varies between 0.0 and 0.55, determine (a) the corresponding values of θ for the system to remain in equilibrium, (b) the corresponding reactions at A and D, and (c) plot θ versus the coefficient of friction. **Diagram Explanation:** The diagram illustrates a pulley system: - **Points A and D:** The cable is anchored at points A and D. Both points make an angle of 60° with the horizontal surface. - **Pulley System:** The cable passes over a pulley at point B. - **Force Vector:** A force of 200 N is applied at point F, which is below the pulley, making an angle θ with the vertical. - **Cables:** The segment of the cable from A to B and D to B is shown. This setup is used to determine the values of θ that maintain system equilibrium as the friction coefficient changes, and the reactions at points A and D. Additionally, plotting θ against the friction coefficient is needed.
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