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Q.

A body of weight 20 N is on a horizontal surface, minimum force applied to pull it when  applied force makes an angle 60º with horizontal (angle of friction ϕ = 30º) is

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a

20N

b

203N

c

203N

answer is C.

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Detailed Solution

 Minimum force for pulling at an angle θ with the horizontal isFmin=mgsin⁡ϕcos⁡(θ−ϕ)θ=60∘,ϕ=30∘: W=F=mg=20NFmin=20×sin⁡30∘cos⁡(60−30); Fmin=20×123/2=203

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