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Velocity Displacement Relationship

The instantan...

Question

The instantaneous acceleration (a) of a particle executing a linear SHM is given by a = -4x where x is the displacement from the mean position. The period of the particle is given by

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Solution

Acceleration of particle $a = - 4 x$
On comparing with $a = - w^{2} x$
we get $w^{2} = 4$
Or $w = 2$
Time period $T = \frac{2 π}{2} = π s$

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