First slide

Simple harmonic motion

Question

The equation of motion of a particle started at t = 0, is given by $y = 5 \sin (40 t + \frac{π}{6}) c m$ . The least time after which acceleration becomes maximum is

Moderate

A

$\frac{π}{90} \sec$
B

$\frac{π}{80} \sec$
C

$\frac{π}{60} \sec$
D

$\frac{π}{120} \sec$

Solution

Particle starts from mean position. The acceleration becomes first time maximum when it reaches extreme position.
$t = \frac{T}{4} = \frac{π}{2 (40)} = \frac{π}{80} s$

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