A body executes S.H.M with an amplitude A. At what displacement

A body executes S.H.M with an amplitude A. At what displacement from the mean position is the potential energy of the body is one fourth of its total energy ?

P.E. , V =	1	mω² x²
	2

Total energy , E =	1	mω² A²
	2

P.E. =	1	E ⇒	1	mω² x² =	1	mω² A²
	4		2		8

∴ x =	1	A
	2