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 = 3.75 sin (100nt + 2) x₂ = 4.42 sin (100nt - 2) State the amplitude, phase, frequency, and periodic time of each of these waves. (a) When both machines are switched on, how many seconds does it take for each machine to produce its maximum displacement ? (b) At what time does each vibration first reach a displacement of -2 mm ?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
Part 1
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 = 3.75 sin (100nt + ²77)
= 4.42 sin (100nt - 2)
x₂
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 ?
Transcribed Image Text:Part 1 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 = 3.75 sin (100nt + ²77) = 4.42 sin (100nt - 2) x₂ 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 ?
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Work and energy
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning