**Task Description:**A 100-pound boy (denoted as A) is hanging from a rope that goes over a quarter-circular cliff rock. The objective is to determine if a 185-pound woman can lift the boy, and if so, calculate the minimum force she needs to exert on the rope.**Parameters:**- **Weight of the boy**: 100 pounds- **Weight of the woman**: 185 pounds- **Coefficient of static friction (rope and rock)**: \( \mu_s = 0.2 \)- **Coefficient of static friction (shoes and ground)**: \( \mu_s' = 0.8 \)**Illustration Explanation:**The image shows:- A boy suspended over the edge of a cliff by a rope.- The rope is depicted as passing over a quarter circle cliff, suggesting a change in direction facilitated by the cliff’s curvature.- A woman stands on top of the cliff, pulling the rope horizontally with the intent to hoist the boy.- The task requires an understanding of forces, friction, and tension in the rope to solve the dynamics of the system.

Answered: Image /qna-images/answer/add85f28-dcfa-4d2f-9221-b2ca105ca056.jpgThe smallest force she must exert on the rope is 4408.53 lb-ft/s2

Engineering

Mechanical Engineering

The 100-lb boy at A is suspended from the rope that passes over the quarter circular cliff rock. Determine if it is possible for the 185-lb woman to hoist him up; and if this is possible, what smallest force must she exert on the rope? The coefficient of static friction between the rope and the rock is μ = 0.2, and between the shoes of the woman and the ground μ' = 0.8.

The 100-lb boy at A is suspended from the rope that passes over the quarter circular cliff rock. Determine if it is possible for the 185-lb woman to hoist him up; and if this is possible, what smallest force must she exert on the rope? The coefficient of static friction between the rope and the rock is μ = 0.2, and between the shoes of the woman and the ground μ' = 0.8.

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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Question

**Task Description:**

A 100-pound boy (denoted as A) is hanging from a rope that goes over a quarter-circular cliff rock. The objective is to determine if a 185-pound woman can lift the boy, and if so, calculate the minimum force she needs to exert on the rope.

**Parameters:**

- **Weight of the boy**: 100 pounds
- **Weight of the woman**: 185 pounds
- **Coefficient of static friction (rope and rock)**: \( \mu_s = 0.2 \)
- **Coefficient of static friction (shoes and ground)**: \( \mu_s' = 0.8 \)

**Illustration Explanation:**

The image shows:
- A boy suspended over the edge of a cliff by a rope.
- The rope is depicted as passing over a quarter circle cliff, suggesting a change in direction facilitated by the cliff’s curvature.
- A woman stands on top of the cliff, pulling the rope horizontally with the intent to hoist the boy.
- The task requires an understanding of forces, friction, and tension in the rope to solve the dynamics of the system.

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