The displacement of a body moving with simple harmonic motion is given by the equation y = A sin2 $\pi$t + $\pi$). After one-quarter of a period has elapsed since t = 0, which of the following statements is correct?
A) The total energy of the system is equal to zero.
B) The kinetic energy is a maximum.
C) The potential energy is a maximum.
D) The potential and kinetic energy are equal to each other.
E) Both kinetic and potential energies are at their maximum values.

Question

The displacement of a body moving with simple harmonic motion is given by the equation y = A sin2 $\pi$t +  $\pi$). After one-quarter of a period has elapsed since t = 0, which of the following statements is correct?
A) The total energy of the system is equal to zero.
B) The kinetic energy is a maximum.
C) The potential energy is a maximum.
D) The potential and kinetic energy are equal to each other.
E) Both kinetic and potential energies are at their maximum values.

Quizplus · Accepted Answer

After one-quarter of a period, the displacement is zero, meaning the body is at the equilibrium position where kinetic energy is maximum and potential energy is zero.

The Displacement of a Body Moving with Simple Harmonic Motion π\piπ

The Displacement of a Body Moving with Simple Harmonic Motion $\pi$