Energy in SHM

• U(t) = (1/2) k x2 = (1/2)k xm2 cos2(?t+?)

• K(t) = (1/2) mv2 = (1/2) m?2 xm2 sin2(?t+ ?)

• using k = m ?2 and cos2? + sin2? =1

• E(total) = U(t)+K(t) =(1/2) k xm2 (constant!) =(1/2) m?2 xm2

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