First slide

Friction on inclined plane of angle more than angle of repose

Question

A body is moving down an inclined plane of slope 37⁰. The coefficient of friction between the body and plane varies as $μ$ = O.3x, where x is the distance travelled down the plane by the body. The body will
have maximum speed (Take, g = 10 $m s^{- 2}$ , sin37⁰ = $\frac{3}{5}$ )

Moderate

A

at x= 1.16m
B

at x = 2m
C

at bottom of plane
D

at x = 2.5m

Solution

Body will have maximum speed, where
$m g \sin θ = μ m g \cos θ$
or sin 37⁰ = (0.3x) cos 37⁰ or x = 2.5 m

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