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Question

Physics Question on Oscillations

The velocity of a particle in S.H.M. at displacement y from mean position is ( a=a= amplitude ω=\omega = angular frequency)

A

ωa2+y2\omega \sqrt{a^{2}+y^{2}}

B

ωa2y2\omega \sqrt{a^{2} - y^{2}}

C

ωy\omega y

D

ω2(a2y2)\omega^2 (a^2 -y^2)

Answer

ωa2y2\omega \sqrt{a^{2} - y^{2}}

Explanation

Solution

In S.H.M., velocity of particle at displacement yy from mean position is v=ωa2y2v=\omega \sqrt{a^{2}-y^{2}}