Q31 of 40 Page 103

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

Potential energy for the simple harmonic motion is given as,



And the total energy,



where x = displacement


w= angular velocity


m= mass of the system


A = amplitude


Now we are given that,



⇒


⇒


∴ the displacement will be units


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