Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
Given the two degree of freedom system in the figure below. Complete the following: (a) Write the equations of motion in matrix form. (b) Write the system characteristic equation using Laplace notation. Your solution should be a polynomial that is quadratic in s² with appropriate numerical coefficients. (c) Calculate the natural frequencies (in Hz). (d) Determine the two mode shapes (normalize to coordinate x1).

Given the two degree of freedom system in the figure below. Complete the following: (a) Write the equations of motion in matrix form. (b) Write the system characteristic equation using Laplace notation. Your solution should be a polynomial that is quadratic in s² with appropriate numerical coefficients. (c) Calculate the natural frequencies (in Hz). (d) Determine the two mode shapes (normalize to coordinate x1).

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
See similar textbooks
icon
Related questions
Question

please please i want solution

Given the two degree of freedom system in the figure below. Complete the following: (a) Write the equations of motion in matrix form. (b) Write the system characteristic equation using Laplace notation. Your solution should be a polynomial that is quadratic in s² with appropriate numerical coefficients. (c) Calculate the natural frequencies (in Hz). (d) Determine the two mode shapes (normalize to coordinate x1). k = 1×10°N/m + m = 3 kg kz=6x10 X2 E m2=2
Transcribed Image Text:Given the two degree of freedom system in the figure below. Complete the following: (a) Write the equations of motion in matrix form. (b) Write the system characteristic equation using Laplace notation. Your solution should be a polynomial that is quadratic in s² with appropriate numerical coefficients. (c) Calculate the natural frequencies (in Hz). (d) Determine the two mode shapes (normalize to coordinate x1). k = 1×10°N/m + m = 3 kg kz=6x10 X2 E m2=2
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Dimensional Analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS