A support beam, within an industrial building, is subjected tovibrations along its length; emanating from two machines situatedat opposite ends of the beam. The displacement caused by thevibrations can be modelled by the following equations,
?1 = 3.75 sin (100?? +2Ï€/9)
?2 = 4.42 sin (100?? −2π/5)
a) when both machines are switched on how many seconds does ittake for each machine to produce its maximum displacement?
b) at what time does each vibration first reach a displacementof -2mm?
