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
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
100%
Help with question D

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?
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images

Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY