The coefficient of static friction between a block of mass m and the incline is 0.3.ofthe incline plane with the horizontal such that the block does not slip on the plane? θ / 2 with the horizontal, find the frictional force on the block.(a) What can be the maximum angle θ(b) If the incline plane makes an angle

Dear kaushik ,

(a) AS we increase the angle the force of gravity along the incline  i.e mgsinθ  increases and the normal component to the  plane mgcosθ  decreases . SO , the maximum angl is reached when the downward force equals the maximum friction force.

so , mgsinθ = µmgcosθ  

so maximum angle is θ   = tan^-1 (µ)  =  tan^-1 (.3) = 16.7 deg

b) when the angle is lesser than the maximum value the force of friction equals the downward push due to gravity ,   mgsinθ/2

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