A body of mass m is launched up on a rough inclined plane making an angle of 30 ° with the horizontal.…

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 x5 if the time of ascent is half of the time of descent. The value of x is

Solution

ta=12td

2 saa=122 sad …i

aa=gsinθ+μgcosθ

=g2+32μg

ad=gsinθ-μgcosθ

=g2-32μg

Using the above values of aa and ad and putting in
equation i, we will get, μ=35

Asked in: JEE Main 2021 (20 Jul Shift 2)

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