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^
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
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46ab2f56-ab23-4172-80ab-390e59dc1949%2Fc5c797e1-44c0-434d-ae10-a9f532e7159f%2Fivj7ls7_processed.png&w=3840&q=75)
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
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