2π x₁ = 3.75 sin (100nt +9 x₂ = 4.42 sin (100πt 2π 5

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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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-At what time does each vibration first reach a displacement of −2mm?

2- Use the compound angle formulae to expand x1 and x2 into the form  

A sin 100πt +-B cos 100πt, where A and B are numbers to be found.  

3-Using your answers from part 2, express in a similar form. Convert this expression into the equivalent form R sin (100πt α)

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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Follow-up Question

Can you please answer the attached question, and convert it to the form ? sin (100?? +α)

v. Using your answers from part iv, express x₁ + x₂ in a similar form. Convert this expression into
the equivalent form R sin (100nt + a)
Transcribed Image Text:v. Using your answers from part iv, express x₁ + x₂ in a similar form. Convert this expression into the equivalent form R sin (100nt + a)
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Follow-up Question

has this answered question 3?

  1. Express in a manner similar to just what they did in part (2) with their responses. R sin (100πt+α) is the equivalent form of this expression.
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