**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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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.

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

**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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