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Q.

A mass m rests on a horizontal surface. The coefficient of friction between the mass and the surface is μ. If the mass is pulled by a force F as shown in Figure, the limiting friction between the mass and the surface will be:

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a

μ[mg−(F/2)]

b

μ[mg+(F/2)]

c

μmg

d

μ[mg−(3/2)F]

answer is C.

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Detailed Solution

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FBD of block
 

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N=mg−Fsin⁡30∘=mg−F/2

Limiting friction: fL=μN=μ[mg−(F/2)]

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