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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 −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?? +

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?? +

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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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
Transcribed Image Text:x₁ = 3.75 sin (100πt + X1 x₂ = 4.42 sin (100πt 2π 9 2π 5
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