The total mechanical energy of a simple harmonic oscillator is
A) zero as it passes the equilibrium point.
B) zero when it reaches the maximum displacement.
C) a maximum when it passes through the equilibrium point.
D) a minimum when it passes through the equilibrium point.
E) constant.

Question

Quizplus · Accepted Answer

The total mechanical energy of a simple harmonic oscillator is constant because it is the sum of potential energy (which varies as the square of the displacement from the equilibrium point) and kinetic energy (which varies as the square of the velocity). At any point in the oscillation, the potential and kinetic energies add up to a constant value, therefore the total mechanical energy remains constant.

The Total Mechanical Energy of a Simple Harmonic Oscillator Is