Part 1 A support beam 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: 3.75 sin (100nt + x₂ = 4.42 sin (100nt - ²) State the amplitude, phase, frequency, and periodic time of each of these waves. (a) (b) X₁ = 2T When both machines are switched on, how many seconds does it take for each machine to produce its maximum displacement ? At what time does each vibration first reach a displacement of -2 mm ?
Part 1 A support beam 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: 3.75 sin (100nt + x₂ = 4.42 sin (100nt - ²) State the amplitude, phase, frequency, and periodic time of each of these waves. (a) (b) X₁ = 2T When both machines are switched on, how many seconds does it take for each machine to produce its maximum displacement ? At what time does each vibration first reach a displacement of -2 mm ?
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Transcribed Image Text:Part 1
A support beam 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:
(100nt +²77)
x₂ = 4.42 sin (100nt - 2)
State the amplitude, phase, frequency, and periodic time of each of
these waves.
nce
이
(a) When both machines are switched on, how many seconds does it take
for each machine to produce its maximum displacement ?
(b)
Part 2
x₁ = 3.75 sin (100nt +
At what time does each vibration first reach a displacement of
-2 mm ?
above in Part 1:
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