work,energy and power

In classical mechanics, asimple  harmonic motion is a motion in which, when displaced from its equilibrium position, body experiences a restoring force, F, proportional to the displacement, x according to Hooke's law:

where minus shows that force is opposite to displacement.

Maximum Potential energy  U is given by

where X₀ is the maximum elongation or compresseion of the spring.

U will be zero when x=0 i.e. when spring is in neutral position (F =0).In that position whole U is transferred into kinectic energy therefore K.E. is maximum at x=0.

   when U is max. K.E. is minimum

& when U is mini. K.E. is maximum