Determine whether the following equations are dimensionally homogeneous. f = m· a +c•v+k• x f is a a weight, a is an angular acceleration, c is a damping coefficient (force x time / length), m is a k is a stiffness constant (force / length), v is a linear velocity, and x is a displacement. mass, [m · a] = F L^ [c • v] F^ L^ [k · x] = F^ L^ T^

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
icon
Related questions
Question
100%

Please do this carefully.

Determine whether the following equations are dimensionally homogeneous.
f = m· a + c• v + k · x
f is a a weight, a is an angular acceleration, c is a damping coefficient (force x time / length), m is a
mass, k is a stiffness constant (force / length), v is a linear velocity, and x is a displacement.
[m · a]
FA
L^
TA
[c . v] = F^
LA
TA
[k · x] = F*
LA
TA
Transcribed Image Text:Determine whether the following equations are dimensionally homogeneous. f = m· a + c• v + k · x f is a a weight, a is an angular acceleration, c is a damping coefficient (force x time / length), m is a mass, k is a stiffness constant (force / length), v is a linear velocity, and x is a displacement. [m · a] FA L^ TA [c . v] = F^ LA TA [k · x] = F* LA TA
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Quality Assurance, Process Planning, and Quality Control
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.
Similar questions
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