Show that for a particle in linear SHM the average kinetic energy over a period of oscillation equals the average potential energy over the same period.

Show that for a particle in linear SHM the average kinetic energy over

1.	Show that for a particle in linear SHM the average kinetic energy over a period of oscillation equals the average potential energy over the same period.
Answer» <html><body><p></p>Solution :<a href="https://interviewquestions.tuteehub.com/tag/hint-486738" style="font-weight:bold;" target="_blank" title="Click to know more about HINT">HINT</a>: Average K.E. `=1/Tint_(<a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>)^(T)1/2mv^(2)<a href="https://interviewquestions.tuteehub.com/tag/dt-960413" style="font-weight:bold;" target="_blank" title="Click to know more about DT">DT</a>,` Average P.E. `=1/Tint_(0)^(T)1/2kx^(2)dt`</body></html>