Q.

A gramophone record is revolving with an angular velocity ω. A coin is placed at a distance r from the centre of the record. The static coefficient of friction is μ. The coin will revolve with the record if

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a

r = μgω2

b

r <ω2μg

c

r ≤ μgω2

d

r ≥ μgω2

answer is C.

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Detailed Solution

When the disc spins the frictional force between the gramophone record and coin is μ mgThe coin will revolve with record, if    Ffrictional  ≥ Fcentripetal      μmg ≥ mω2r       μgr  ≥ ω2
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