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Scenario 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: x₁ = 3.75 sin (100лt + 2π/9) x₂ = 4.42 sin(100nt - 2n/5) Part 1: a. State the amplitude, phase, frequency and periodic time of each of these waves. b. Calculate the time each machine will reach maximum displacement, after being switched on. c. Calculate the time from the O time point of the waveform, (on the x axis), after which each vibration will first reach a value of -2mm. Show all working out. d. Plot both vibration waveforms using Excel, between -5ms and 20ms and deduct from the plots the time for each waveform to reach -2mm after point 0 on the time axis. How do these times compare with those obtained above?

Scenario 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: x₁ = 3.75 sin (100лt + 2π/9) x₂ = 4.42 sin(100nt - 2n/5) Part 1: a. State the amplitude, phase, frequency and periodic time of each of these waves. b. Calculate the time each machine will reach maximum displacement, after being switched on. c. Calculate the time from the O time point of the waveform, (on the x axis), after which each vibration will first reach a value of -2mm. Show all working out. d. Plot both vibration waveforms using Excel, between -5ms and 20ms and deduct from the plots the time for each waveform to reach -2mm after point 0 on the time axis. How do these times compare with those obtained above?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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22.pdf Assignment Brief and Guidance Scenario Open with Google Docs 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: x₁ = 3.75 sin(100лt + 2π/9) x₂ = 4.42 sin(100nt - 2n/5) Part 1: a. State the amplitude, phase, frequency and periodic time of each of these waves. b. Calculate the time each machine will reach maximum displacement, after being switched on. c. Calculate the time from the O time point of the waveform, (on the x axis), after which each vibration will first reach a value of -2mm. Show all working out. d. Plot both vibration waveforms using Excel, between -5ms and 20ms and deduct from the plots the time for each waveform to reach -2mm after point 0 on the time axis. How do these times compare with those obtained above?
Transcribed Image Text:22.pdf Assignment Brief and Guidance Scenario Open with Google Docs 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: x₁ = 3.75 sin(100лt + 2π/9) x₂ = 4.42 sin(100nt - 2n/5) Part 1: a. State the amplitude, phase, frequency and periodic time of each of these waves. b. Calculate the time each machine will reach maximum displacement, after being switched on. c. Calculate the time from the O time point of the waveform, (on the x axis), after which each vibration will first reach a value of -2mm. Show all working out. d. Plot both vibration waveforms using Excel, between -5ms and 20ms and deduct from the plots the time for each waveform to reach -2mm after point 0 on the time axis. How do these times compare with those obtained above?
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