8-85. A 180-lb farmer tries to restrain the cow from escaping by wrapping the rope two turns around the tree trunk. If the cow exerts a force of 250 lb on the rope, determine if the farmer can successfully restrain the cow. The coefficient of static friction between the rope and the tree trunk is fs = 0.15, and between the farmer's shoes and the ground us = 0.3.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Problem 8-85:**

A 180-lb farmer tries to restrain the cow from escaping by wrapping the rope two turns around the tree trunk. If the cow exerts a force of 250 lb on the rope, determine if the farmer can successfully restrain the cow. The coefficient of static friction between the rope and the tree trunk is \(\mu_s = 0.15\), and between the farmer’s shoes and the ground \(\mu_s' = 0.3\).

**Illustration Description:**

The image depicts a scenario where a farmer is attempting to restrain a cow using a rope. The setting includes:

- **Tree:** A large tree is at the center of the scene, with the rope wrapped around its trunk twice.
- **Farmer:** Positioned to the left, the farmer holds the rope and leans backward, applying force to prevent the cow from moving.
- **Cow:** On the right side, the cow appears to be resisting, pulling against the rope.

**Physics Explanation:**

- The problem involves analyzing static friction which occurs in two sections: between the rope and tree trunk, and between the farmer's shoes and the ground.
- The objective is to assess if the static friction is sufficient to counterbalance the pulling force exerted by the cow.
Transcribed Image Text:**Problem 8-85:** A 180-lb farmer tries to restrain the cow from escaping by wrapping the rope two turns around the tree trunk. If the cow exerts a force of 250 lb on the rope, determine if the farmer can successfully restrain the cow. The coefficient of static friction between the rope and the tree trunk is \(\mu_s = 0.15\), and between the farmer’s shoes and the ground \(\mu_s' = 0.3\). **Illustration Description:** The image depicts a scenario where a farmer is attempting to restrain a cow using a rope. The setting includes: - **Tree:** A large tree is at the center of the scene, with the rope wrapped around its trunk twice. - **Farmer:** Positioned to the left, the farmer holds the rope and leans backward, applying force to prevent the cow from moving. - **Cow:** On the right side, the cow appears to be resisting, pulling against the rope. **Physics Explanation:** - The problem involves analyzing static friction which occurs in two sections: between the rope and tree trunk, and between the farmer's shoes and the ground. - The objective is to assess if the static friction is sufficient to counterbalance the pulling force exerted by the cow.
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