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Question

A particle is in linear simple harmonic motion between two extreme point A and B, 10 cm apart (see fig)
If the direction from A to B is taken as positive direction, what are signs of displacement x, velocity V and acceleration a, when the particle is at A?


A
x = - ve, V = - ve, a = - ve
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B
x = + ve, V = 0, a = - ve
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C
x = + ve, V = - ve, a = + ve
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D
x = - ve, V = 0 , a = + ve
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Solution

The correct option is D x = - ve, V = 0 , a = + ve
Displacement x = − 5 cm, i.e., x = − ve. Velocity at extreme points is zero. Acceleration is opposite to displacement. The a = +ve.
Hence the correct choice is (d)

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