1.

A graph of the square of the velocity against the square of the acceleration of a given simple harmonic motion isA. B. C. D.

Answer» Correct Answer - D
`x=Asinomegat`
`v=(dx)/(dt)=Aomegat=omegasqrt(A^2-x^2)`
`a=(dv)/(dt)=-Aomega^2sinomegat`
`=(dv)/(dt)=-omega^2x`
But `x=-(1)/(omega^2)`
`v=omegasqrt(A^2-(a^2)/(omega^4))`
or `v^2=omega^2(A^2-(a^2)/(omega^4))`


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