Task 1 Scenario 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...


Scenario


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
= 4 sin (100pt +   )




X2
= 4.5 sin (100pt -   )






  1. State the amplitude, phase, frequency and periodic time of each of these waves.

  2. When both the machines are switched on, how long does it take for each machine to produce its maximum displacement?






Task 1<br>Scenario<br>A simply supported beam is subjected to two vibrations along its length, emanating from two<br>machines at opposite ends of the beam. The displacement caused by the vibrations can be<br>modelled by the following equations.<br>X1<br>)<br>= 4 sin (100rt +<br>8<br>X2 = 4.5 sin (100nt -<br>3<br>a) State the amplitude, phase, frequency and periodic time of each of these waves.<br>b) When both the machines are switched on, how long does it take for each machine to produce its<br>maximum displacement?<br>

Extracted text: Task 1 Scenario 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 ) = 4 sin (100rt + 8 X2 = 4.5 sin (100nt - 3 a) State the amplitude, phase, frequency and periodic time of each of these waves. b) When both the machines are switched on, how long does it take for each machine to produce its maximum displacement?

Jun 05, 2022
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