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Question: A gramophone record is revolving with an angular velocity w. A coin is placed at a distance R from t...

A gramophone record is revolving with an angular velocity w. A coin is placed at a distance R from the centre of the record. The static coefficient of friction is m. The coin will revolve with the record if –

A

R > μgω2\frac { \mu \mathrm { g } } { \omega ^ { 2 } }

B

R = μgω2\frac { \mu \mathrm { g } } { \omega ^ { 2 } } only

C

R < μgω2\frac { \mu \mathrm { g } } { \omega ^ { 2 } }

D

R £ μgω2\frac { \mu \mathrm { g } } { \omega ^ { 2 } }

Answer

R £ μgω2\frac { \mu \mathrm { g } } { \omega ^ { 2 } }

Explanation

Solution

mw2r £ mmg ̃ r £ mg/w2