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Question

A block placed on a horizontal surface is being pushed by a force F making an angle θ with the vertical. If the friction coefficient is μ, how much force is needed to get the block just started.


A

F=

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B

F=

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C

F=mg(sin - cos)

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D

F=mg(cos - sin)

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Solution

The correct option is A

F=


The situation is shown in figure.In the limiting equillibrium the frictional force f will be equal to μN.

For horizontal equillibrium

F sinθ = μN

For vertical equillibrium

Fcosθ + mg =N

Eliminating N from these equations,

Fsinθ=μFcosθ +μmg

F=μmgsinθμcosθ


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