A block of mass rests on a rough incline that makes an angle with the horizontal

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A block of mass mm rests on a rough incline that makes an angle θ\theta with the horizontal. The coefficient of static friction between the block and the surface is μs\mu_s. A force PP is applied parallel to the surface and directed up the incline just large enough to prevent the block from sliding down. Which of the following expressions gives the minimum magnitude of PP? (a) mgsin⁡θ+μsmgcos⁡θmg\sin\theta + \mu_s mg\cos\theta (b) μsmgcos⁡θ\mu_s mg\cos\theta (c) mgsin⁡θ−μsmgcos⁡θmg\sin\theta - \mu_s mg\cos\theta (d) mgcos⁡θ−μsmgsin⁡θmg\cos\theta - \mu_s mg\sin\theta

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