A body of mass m is launched up on a rough inclined plane making an angle of 30 ° with the horizontal. The coefficient of friction between the body and plane is x 5 if the time of ascent is half of the time of descent. The value of x is

Step-by-step solution

t a = 1 2 t d 2   s a a = 1 2 2   s a d   … i a a = g sin θ + μ g cos θ = g 2 + 3 2 μ g a d = g sin θ - μ g cos θ = g 2 - 3 2 μ g Using the above values of a a and a d and putting in equation i , we will get, μ = 3 5