34 A body slides down a rough inclined plane of angle of inclination 30degrees and takes time twice as great - Physics - Laws Of Motion

Question

34 A body slides down a rough inclined plane of angle of
inclination 30degrees and takes time twice as great as the time
taken in slipping down an identical frictionless plane The
coeffeicient of friction between the body and the plane is

Neha Gupta · Accepted Answer

Acceleration when surface is smooth a1 = g sinθwhen surface is rougha2 = g sinθ - μg cosθdistance tarvelled by both  is sames =0
5a1t12s=0
5a2t22 a1a2 = t22t11 = 4g sinθ = 4g sinθ - 4μg cosθ 4 μg cosθ = 3g sinθ4μ32 = 312μ = 34

34.A body slides down a rough inclined plane of angle of inclination 30degrees and takes time twice as great as the time taken in slipping down an identical frictionless plane.The coeffeicient of friction between the body and the plane is