P -b- C a h W

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: The Laws Of Motion
Section: Chapter Questions
Problem 55P
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P
•C
W
The man in the diagram is trying to move a large box by pushing on it with a force, P. The box
weighs W = 250 N and its centre of gravity is located in the centre of the box (point C).
Given:
The coefficient of static friction between the box and the floor is μs = 0.3
Dimensions: a = 1.8m, b=0.6m, h= 0.9 m
We want to know whether the box will move if P = 70 N.
Scenario: Box remains stationary
First, let us consider the case of the box remaining stationary.
Calculate the Friction force and Normal force under this condition.
Then consider, how far from the centre line of the box does the
normal force act.
a. First, calculate the magnitude of the friction force (between
box and floor) generated under Scenario.
b. Calculate the magnitude of the normal force acting under the
box.
c. Calculate the location of the normal force - find its horizontal
distance from box centre line.
Transcribed Image Text:Question P •C W The man in the diagram is trying to move a large box by pushing on it with a force, P. The box weighs W = 250 N and its centre of gravity is located in the centre of the box (point C). Given: The coefficient of static friction between the box and the floor is μs = 0.3 Dimensions: a = 1.8m, b=0.6m, h= 0.9 m We want to know whether the box will move if P = 70 N. Scenario: Box remains stationary First, let us consider the case of the box remaining stationary. Calculate the Friction force and Normal force under this condition. Then consider, how far from the centre line of the box does the normal force act. a. First, calculate the magnitude of the friction force (between box and floor) generated under Scenario. b. Calculate the magnitude of the normal force acting under the box. c. Calculate the location of the normal force - find its horizontal distance from box centre line.
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