Explanation Consider the torque due to the weight of the cabinet, M g , and due to the applied force F corresponding to two cases. The first case is when the worker tires of walking backward, with rope tied at a height, 0.100 m , and the second case is when the rope is over his shoulder, with rope tied at a height, 0.650 m . Consider the figure given below. Case 1. Case 2. In both cases the torque due to the weight of the cabinet is same. Write the expression for the torque due to the weight of the cabinet. τ G = M g ω 2 (I) Here, M is the mass of the cabinet, g is the acceleration due to gravity, ω is the width of the cabinet. Write the expression for the torque due to the force acting at height h 1 using figure 1. τ F 1 = ( F cos 37 ° ) h 1 (II) F is the force applied on the rope. Write the expression for the torque due to the force acting at height h 2 using figure 1 τ F 2 = ( F cos 37 ° ) h 2 (III) Conclusion Substitute, 400 N for M g , 60 × 10 − 2 m for ω in equation (I) to find τ

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

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Chapter 10, Problem 80P

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The reason why it is impossible to slide the cabinet over a long distance by keeping the rope over his shoulder.

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Principles of Physics: A Calculus-Based Text

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The reason why it is impossible to slide the cabinet over a long distance by keeping the rope over his shoulder.

Solution Summary: The author analyzes the torque due to the weight of the cabinet, Mg, and the applied force F corresponding to two cases.

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The reason why it is impossible to slide the cabinet over a long distance by keeping the rope over his shoulder.

Chapter 10 Solutions