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Q.

A body of mass m and radius r is released from rest along a smooth inclined plane of angle of inclination θ. The angular momentum of the body about the instantaneous point of contact after a time t from the instant of release is equal to:

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a

mgrt cosθ

b

mgrt sinθ

c

(32)mgrt sinθ

d

none of these

answer is B.

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Detailed Solution

Since the surface is frictionless, the body does not rotate about its centre of mass. Only it slides parallel to the surface. i.e. ω = 0  and v = (g sin θ)tThe angular momentum after time t:L = mvr = m(g sin θ)tr = mgrt sinθ
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