A body is projected up an inclined plane of angle of elevation α . The time of ascent to upper point was found to be half the time of descent to initial point. The coefficient of friction between bloc

Question

A body is projected up an inclined plane of angle of elevation α . The time of ascent to upper point was found to be half the time of descent to initial point. The coefficient of friction between block and incline is:

TestHub · Accepted Answer

Ascent retardation a 1 ​ = g ( sin α + μ cos α ) descent acceleration a 2 ​ = g ( sin α − μ cos α ) . Equal distances with t u p ​ = 2 1 ​ t d o w n ​ give a 1 ​ = 4 a 2 ​ sin α + μ cos α = 4 sin α − 4 μ cos α so 5 μ cos α = 3 sin α and μ = 0.6 tan α . Option C.

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