A small body was launched up an inclined plane set at an angle = 15° against the

Question

A small body was launched up an inclined plane set at an angle = 15° against the horizontal. Find the coefficient of friction, if the time of the ascent of the body is 2.0 times less than the time of its descent. A small body was launched up an inclined plane set at an angle = 15° against the horizontal. Find the coefficient of friction, if the time of the ascent of the body is 2.0 times less than the time of its descent. A small body was launched up an inclined plane set at an angle = 15° against the horizontal. Find the coefficient of friction, if the time of the ascent of the body is 2.0 times less than the time of its descent.

Explanation / Answer

for ascent acceleration = g(sin 15 + u cos15)

for descent acceleration = g(sin15-ucos15)

time of ascent is t

time of descent is 2t

so we have

4g(sin15-ucos15) = g(sin 15 + u cos15)

3sin15 / 5cos15 = u

u = 0.1607

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