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Find the displacement of a simple harmon...

Find the displacement of a simple harmonic oscillator at which its P.E. is half of the maximum energy of the oscillator.

Text Solution

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Let y be displacement and A be amplitude of the harmonic oscillator.
Given P.E. ` = (1)/(2)E_(max)`
or `(1)/(2)kx_(2) = (1)/(2)*(1)/(2)kA^(2)`
or `x^(2) = (A^(2))/(2)`
or `x = pm (A)/(sqrt(2))`
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