FrictionHard

Question

A wooden block of mass m resting on a rough horizontal table (coefficient of friction = μ) is pulled by a force F as shown in figure. The acceleration of the block moving horizontally is : 

Options

A.
B.
C. (cos θ + μ sin θ) − μ g
D.none

Solution


The normal reaction on the block is
N = mg − F sinθ
∴    Net force on block is
Fcosθ − μN =     Fcosθ − μ mg + μFsinθ 
or    acceleration of the block is
a = (cosθ + μsinθ) − μg

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