Question

Material point is accomplishing harmonic oscillation. What is the time for its displacement from equilibrium position to half of its amplitude ? The period of oscillation is 24 s, and the initial phase is 0 rad.

Answer 1

x = sin (2 pi t/T)

1/2 = sin (2 pi t/24)

2 pi t/24 = pi/6
because pi/3 radians= 30 degrees and sin pi/6 = 1/2

t/12 = 1/6

t = 2