If force ACTING ON A PARTICLE of mass 2kg IS GIVEN BY F = − 3 x + 12 and particle is released from rest from x = + 6 then position of body at any time t is given by

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TestHub · Accepted Answer

This is equation of shm whose mean position is not at origin.

As particle is released from rest at $x = 6$ so it is a a extreme.

Force will be zero at $F = - 3 x + 12 = 0$ ⇒ $x = 4$ is mean.

So amplitude is 2 (distance between mean and extreme)

ω= $\frac{k}{m} = \frac{3}{2}$

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