Question

The weight on a vertical spring undergoes forced vibrations according to the following
equation:
x t
dt
d x
+ 4 = 8 sinw
2
2
where x is the displacement from the equilibrium position and w > 0 is a constant. If at
t = 0, x = 0 and , 0 =





=
dt
dx
v calculate (i) x as a function of t, and (ii) the period of the
external force for which resonance occurs.