Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter6: Applications Of Newton’s Laws Of Motion
Section: Chapter Questions
Problem 8PQ: A rectangular block has a length that is five times its width and a height that is three times its...
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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd054b33a-21e3-45de-bc4b-e34888cb542c%2F2b1825d6-931b-4c64-8cf8-137b7d9b5f13%2F5zi3f8e_processed.png&w=3840&q=75)
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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