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