Part 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 = X₂ = 2π 3.75 sin (100πt + 217) 9 = 4.42 sin (100πt - 2) State the amplitude, phase, frequency, and periodic time of each of these waves. (a) (b) When both machines are switched on, how many seconds does it take for each machine to produce its maximum displacement ? At what time does each vibration first reach a displacement of -2 mm ? al S

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
Part
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 =
X₂ =
2π
3.75 sin (100πt + 217)
9
= 4.42 sin (100πt - 2)
State the amplitude, phase, frequency, and periodic time of each of
these waves.
(a)
(b)
When both machines are switched on, how many seconds does it take
for each machine to produce its maximum displacement ?
At what time does each vibration first reach a displacement of
-2 mm ?
al
S
Transcribed Image Text:Part 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 = X₂ = 2π 3.75 sin (100πt + 217) 9 = 4.42 sin (100πt - 2) State the amplitude, phase, frequency, and periodic time of each of these waves. (a) (b) When both machines are switched on, how many seconds does it take for each machine to produce its maximum displacement ? At what time does each vibration first reach a displacement of -2 mm ? al S
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Similar 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,