Answered: A support beam used in one of the…

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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Question

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 −2???

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

? sin 100?? ? cos 100??, where ? and ? are numbers to be found.

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

x₁ = 3.75 sin (100πt +
X1
x₂ = 4.42 sin (100πt
2π
9
2π
5

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