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A particle is in linear simple harmonic ...

A particle is in linear simple harmonic motion between two points. A and B, 10 cm apart (figure.) take direction from A to B as the positive direction and choose the correct statements.

AO= OB= 5cm
BC=8cm

A

The sign of acceleration and force on the particle when it is at A is negative.

B

The sign of acceleration and force on the particle when it is at B is positive

C

The sign of velocity, acceleration and force on the particle when it is 3 cm away from A going towards B are positive

D

The sign of velocity, acceleration and force on the particle when it is 4 cm away from B going towards A are positive.

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The correct Answer is:
C

Refer figure, A and B are the extreme positions and O is the mean position.
For SHM, acceleration and force is always directed towards the mean position. It is given that the direction A to B is positive.

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