Question
If $< E >$ and $< U >$  denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is

Answer

(a) In $SHM$ for a complete cycle average value of kinetic energy and potential energy are equal

i.e.  $< E >= < U > = \frac{1}{4}m{\omega ^2}{a^2}$

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