Maximum displacement of sinusoidal waves?

A simply supported beam is subjected to two vibrations along its length, emanating from two machines at opposite ends of the beam. The displacement caused by the vibrations can be modelled by the following equations

x1 = 2 sin (100pi*t + pi/3)

x2 = 3.5 sin (100pi*t - pi/2)

When both the machines are turned on, how long does it take for each machine to produce its max displacement?

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