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Q.

A particle of mass m is released from rest and follows a parabolic path as shown in Fig. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?

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a

b

c

d

answer is A.

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Detailed Solution

Restoring force F=-mg sin θEquation of curve y=cx2                          tan θ=dydx=2cxFor small angle, sin θ=tan θ=2 cx       F=-mg2 cx⇒F∝-xSince particle is executing SHM in a potential well after released from maximum displacement position.
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