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 following equations: x₁ = 3.75 sin (100πt + x₂ = 4.42 sin (100πt - 2π 9) 2πT 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%

For the attached scenario, substitute the t values and complete the table for the attached question 4?

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 following equations:
X1 = 3.75 sin (100nt +
x₂ = 4.42 sin (100πt -
2πT
9)
2π
5
Transcribed Image Text: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 following equations: X1 = 3.75 sin (100nt + x₂ = 4.42 sin (100πt - 2πT 9) 2π 5
4. Using appropriate spread sheet software, copy and complete the following table of values:
t
0.000 0.002 0.004 0.006 0.008 0.010 0.012 0.014 0.016 0.018 0.020
X1
X₂
Transcribed Image Text:4. Using appropriate spread sheet software, copy and complete the following table of values: t 0.000 0.002 0.004 0.006 0.008 0.010 0.012 0.014 0.016 0.018 0.020 X1 X₂
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Answer v provided in attached image.

Can you now answer question viii?(attached image)

v. Using your answers from part iv, express x₁ + x₂ in a similar form. Convert this expression into
the equivalent form R sin (100πt + a)
2.8726 sin (100nt) + 2.41045 cos (100nt)
X₁
=
X₂ = 1.3658 sin (100nt) - 4.2036 cos (100nt)
x₁ + x₂= R sin (100πt + a)
R = {(4.2384)² + (-1.79315)²31/2
R = 4.60211
-1.79315
4.2389
x₁ + x₂ = 4.60211 Sin(100nt - 22.932°)
a tan
= -22.932°
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 (100πt + a) 2.8726 sin (100nt) + 2.41045 cos (100nt) X₁ = X₂ = 1.3658 sin (100nt) - 4.2036 cos (100nt) x₁ + x₂= R sin (100πt + a) R = {(4.2384)² + (-1.79315)²31/2 R = 4.60211 -1.79315 4.2389 x₁ + x₂ = 4.60211 Sin(100nt - 22.932°) a tan = -22.932°
viii. Using your answers from parts v and vii, what conclusions can be drawn about x₁ + x2 and
the two methods that were used to obtain this information?
Transcribed Image Text:viii. Using your answers from parts v and vii, what conclusions can be drawn about x₁ + x2 and the two methods that were used to obtain this information?
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question

Please see the attached follow up questions.

vii. Plot the graphs of x₁ and x₂ on the same axes using any suitable computer package. Extend
your table to include x₁ + x₂ and plot this graph on the same axes as the previous two. State the
amplitude and frequency of the new wave.
viii. Using your answers from parts v and vii, what conclusions can be drawn about x₁ + x₂ and
the two methods that were used to obtain this information?
Transcribed Image Text:vii. Plot the graphs of x₁ and x₂ on the same axes using any suitable computer package. Extend your table to include x₁ + x₂ and plot this graph on the same axes as the previous two. State the amplitude and frequency of the new wave. viii. Using your answers from parts v and vii, what conclusions can be drawn about x₁ + x₂ and the two methods that were used to obtain this information?
Solution
Bartleby Expert
SEE SOLUTION
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,