A support beam used in one of the designs for the theme park, 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 attached equations:   For the attached equations you are required to determine the followings for the vibration of this beam:   1-State the amplitude, phase angle, frequency and periodic time of each of these waves.   2-When both machines are switched on, how many seconds does it take for each machine to produce its maximum displacement?

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A support beam used in one of the designs for the theme park, 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 attached equations:

 

For the attached equations you are required to determine the followings for the vibration of this beam:

 

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

 

2-When both machines are switched on, how many seconds does it take for each machine to produce its maximum displacement?

 

 

 

 

 

 

 

 

 

x₁ = 3.75 sin (100πt +
X1
x₂ = 4.42 sin (100πt
2π
9
2π
5
Transcribed Image Text:x₁ = 3.75 sin (100πt + X1 x₂ = 4.42 sin (100πt 2π 9 2π 5
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