Question
A point performs simple harmonic oscillation of period T and the equation of motion is given x = a sin (ωt + π/6). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?
-
T/8
-
T/6
-
T/3
-
T/12
Solution
D.
T/12
Velocity is the time derivative of displacement.
Performing SHM
Thus, at a T/12 velocity of the point will be equal to half of its maximum velocity.
