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A coin is placed on a horizontal platfor...

A coin is placed on a horizontal platform, which undergoes horizontal simple harmonic motion about a mean position O. The coin does not slip on the platform. The force of friction acting on the coin is F.
(i) F is always directed towards O
(ii) F is directed towards O when the coin is moving away from O, and away from O when the coin moves towards O
(iii) `F=0` when the coin and platform come to rest momentarily at the extreme position of the harmonic motion
(iv) F is maximum when the coin and platform come to rest momentarily at the extreme position of the harmonic motion

A

F is always directed towards O

B

F is directed towards O when the coin is moving away from O, and away from O when the coin moves towards O

C

F=0 when the coin and platform come to rest momentarily at the extreme position of the harmonic motion

D

F is maximum when the coin and platform come to rest momentarily at the extreme position of the harmonic motion

Text Solution

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The correct Answer is:
AD

The only horizontal force acting on the coin is the force of friction F. Acceleration is in direction of F, and its magnitude is F/?m.
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