The acceleration of a body executing simple harmonic motion leads the velocity by what phase?
A) 0
B) $\pi$/8 rad
C) $\pi$/4 rad
D) $\pi$/2 rad
E) $\pi$ rad

Question

The acceleration of a body executing simple harmonic motion leads the velocity by what phase?
A) 0
B)  $\pi$/8 rad
C)  $\pi$/4 rad
D)  $\pi$/2 rad
E)  $\pi$ rad

Quizplus · Accepted Answer

The acceleration of a body executing simple harmonic motion lags the displacement by π radians or 180° and leads the velocity by π/2 radians or 90°. Therefore, the acceleration leads the velocity by π/2 or F1F1F1S1π/2 radians. Option D corresponds to this value.

The Acceleration of a Body Executing Simple Harmonic Motion Leads π\piπ

The Acceleration of a Body Executing Simple Harmonic Motion Leads $\pi$