Q. 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
A) $< E > = < U >$
B) $< E > = 2 < U >$
C) $< E > = - 2 < U >$
D) $< E > = - < U >$
Explanation
(a) In SHM for a complete cycle average value of kinetic energy and potential energy are equal, $i.e.,$
$< E > = < U > = \frac{1}{4}m\omega^{2}a^{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.