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A support beam, within an industrial building, is subjected to vibrations along its length; emanating from...

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Physics

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?

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