A body oscillates with simple harmonic motion along the x axis.Its displacement varies with time according to the equation x = 5 sin ( $\pi$t + $\pi$/3).The phase (in rad)of the motion at t = 2 s is
A)7 $\pi$/3
B) $\pi$/3
C) $\pi$
D)5 $\pi$/3
E)2 $\pi$

Question

A body oscillates with simple harmonic motion along the x axis.Its displacement varies with time according to the equation x = 5 sin ( $\pi$t +  $\pi$/3).The phase (in rad)of the motion at t = 2 s is
A)7 $\pi$/3
B) $\pi$/3
C) $\pi$
D)5 $\pi$/3
E)2 $\pi$

Quizplus · Accepted Answer

The phase of the motion is given by the argument of the sine function in the displacement equation. At t = 2 s, the phase is (F1F1F1S1F1F1F10 * 2 + F1F1F1S1F1F1F10/3), which simplifies to 7F1F1F1S1F1F1F10/3.

A Body Oscillates with Simple Harmonic Motion Along the X π\piπ

A Body Oscillates with Simple Harmonic Motion Along the X $\pi$