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Question: A particle executing simple harmonic motion with an amplitude A and angular frequency\(\omega\). The...

A particle executing simple harmonic motion with an amplitude A and angular frequencyω\omega. The ratio of maximum acceleration to the maximum velocity of the particle is

A

ω\omegaA

B

ω\omega2A

C

ω\omega

D

ω2A\frac{\omega^{2}}{A}

Answer

ω\omega

Explanation

Solution

In SHM,

Maximum velocity, νmax\nu_{\max}

Maximum acceleration a2max{a2}_{\max}

amaxvmax=ω2AωA=ω\therefore\frac{a_{\max}}{v_{\max} = \frac{\omega^{2}A}{\omega A} = \omega}