You need to push a cupboard by applying a horizontal force F on its side. The cupboard width is L, height is H and mass is m. You are applying the force at a point that is a height h above the floor. The coefficient of kinetic friction between the dresser and the floor is u. The ground exerts upward normal forces of magnitudes Np and Na at the two ends of the dresser. a) How much force do you need to apply for the cupboard to move with constant velocity? b) What are the magnitudes of normal forces Np and Na if the cupboard legs are separated by a distance L? c) What is the maximum height h where you can push the cupboard before it tips over?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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You need to push a cupboard by applying a horizontal force F on its side. The cupboard
width is L, height is H and mass is m. You are applying the force at a point that is a height h
above the floor. The coefficient of kinetic friction between the dresser and the floor is u.
The ground exerts upward normal forces of magnitudes Np and No at the two ends of the
dresser.
a) How much force do you need to apply for the cupboard to move with constant
velocity?
b) What are the magnitudes of normal forces Np and Na if the cupboard legs are
separated by a distance L?
c) What is the maximum height h where you can push the cupboard before it tips over?
F
H
Pl
Np
N.
Transcribed Image Text:You need to push a cupboard by applying a horizontal force F on its side. The cupboard width is L, height is H and mass is m. You are applying the force at a point that is a height h above the floor. The coefficient of kinetic friction between the dresser and the floor is u. The ground exerts upward normal forces of magnitudes Np and No at the two ends of the dresser. a) How much force do you need to apply for the cupboard to move with constant velocity? b) What are the magnitudes of normal forces Np and Na if the cupboard legs are separated by a distance L? c) What is the maximum height h where you can push the cupboard before it tips over? F H Pl Np N.
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