Describe the mechanical energy of a system exhibiting SHM.

The total energy of a system exhibiting SHM is the sum of the system’s kinetic and potential energies. \[E_{total} = U + K\]

Conservation of energy indicates that the total energy of a system exhibiting SHM is constant.

The kinetic energy of a system exhibiting SHM is at a maximum when the system’s potential energy is at a minimum.

The potential energy of a system exhibiting SHM is at a maximum when the system’s kinetic energy is at a minimum.

The minimum kinetic energy of a system exhibiting SHM is zero.

Changing the amplitude of a system exhibiting SHM will change the maximum potential energy of the system and, therefore, the total energy of the system. Relevant equation for a spring–object system: \[E_{total} = \dfrac{1}{2} k A^2\]