First slide

Simple hormonic motion

Question

The equation of motion of a particle started at t=0, is given by $y = 5 \sin (20 t + \frac{π}{3}) cm$ . The least time after which acceleration becomes
zero is

Easy

A

$\frac{π}{90} \sec$
B

$\frac{π}{120} \sec$
C

$\frac{π}{60} \sec$
D

$\frac{π}{30} \sec$

Solution

$a = \frac{d^{2} y}{{dt}^{2}} = 0$ at mean position, particle is initially moving towards positive extreme.

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