8-45. The man has a mass of 60 kg and the crate has a mass of 100 kg. If the coefficient of static friction between his shoes and the ground is , = 0.4 and between the crate and the ground is c 0.3, determine if the man is able to move the crate using the rope-and-pulley system shown. 8 = C 30° A 45° B
8-45. The man has a mass of 60 kg and the crate has a mass of 100 kg. If the coefficient of static friction between his shoes and the ground is , = 0.4 and between the crate and the ground is c 0.3, determine if the man is able to move the crate using the rope-and-pulley system shown. 8 = C 30° A 45° B
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Transcribed Image Text:**Problem 8-45.**
The man has a mass of 60 kg and the crate has a mass of 100 kg. If the coefficient of static friction between his shoes and the ground is \( \mu_s = 0.4 \) and between the crate and the ground is \( \mu_c = 0.3 \), determine if the man is able to move the crate using the rope-and-pulley system shown.
**Diagram Explanation:**
The diagram illustrates a scenario where a man is attempting to pull a crate using a rope-and-pulley system. The setup is as follows:
- **Crate (C):** Positioned on the ground with a rope attached.
- **Rope:** Connects the crate to a pulley system and extends to the man.
- **Pulley on Tree:** The rope runs over a pulley mounted on a tree which redirects the rope.
- **Angles:**
- The rope between the crate and tree forms a \(30^\circ\) angle with the horizontal.
- The rope between the tree and the man makes a \(45^\circ\) angle with the horizontal.
- **Man (A):** Pulling on the rope with the intention of moving the crate.
This arrangement tests the application of principles of static friction and mechanical advantage through a pulley system. The diagram is designed to visually support the problem-solving process by depicting the forces and angles involved.
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