First slide

Simple hormonic motion

Question

The maximum acceleration of a particle in SHM is made two times keeping the maximum speed to be constant. It is possible when

Moderate

A

amplitude of oscillation is doubled while frequency remains constant
B

amplitude is doubled while frequency is halved
C

frequency is doubled while amplitude is halved
D

frequency is doubled while amplitude remains constant.

Solution

$a_{m a x} = ω^{2} A$ =4 $π^{2} n^{2} A$

$A_{i} ω_{i} = A_{f} ω_{f}$
If $ω_{f} = 2 ω_{i} and A_{f} = \frac{A_{i}}{2}$
The condition will be satisfied.

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