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A particle excutes SHM, at what value of...

A particle excutes SHM, at what value of displacement are the kinetic and potential energies equal?

Text Solution

Verified by Experts

We know that
`E_("total") = (1)/(2) m omega^(2) A^(2)`
`K.E. = (1)/(2) m omega^(2) (A^(2) - x^(2)) and U = (1)/(2) m omega^(2) x^(2)`
Since K = U
`(1)/(2) m omega^(2) (A^(2) -x^(2)) = (1)/(2) m omega^(2) x^(2)`
or, `2x^(2) = A^(2) or x = (A)/(sqrt2) = 0.707A`
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