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In case of simple harmonic motion – (B...

In case of simple harmonic motion –
(B) At what displacement the kinetic and potential energies are equal.

Text Solution

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In S.H.M.
`K.E. = (1)/(2) K (A^2 - X^2)" "P.E. =(1)/(2) Kx^2`
`T. E. = (1)/(2) KA^2`
(B) According to given problem
`K. E. = P. E.`
`(1)/(2) K (A^2 - X^2) = (1)/(2) Kx^2`
`rArr 2x^2 = A^2 rArr x= pm (A)/(sqrt2)`
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MOTION-SIMPLE HARMONIC MOTION-EXERCISE -3 Section - B Previous Year Problems | JEE MAIN
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