Determine whether the following equations are dimensionally homogeneous. f = m· a + c · v + k · x f is a force, a is an angular acceleration, c is a damping coefficient (a force x time / a displacement), m is a weight, k is a stiffness constant (a force/ a displacement), v is an angular velocity, and x is a displacement. [m · a] L^ T^ [c. v] = M^ L^ T^ %3D [k · x] = M^ L^ T^
Determine whether the following equations are dimensionally homogeneous. f = m· a + c · v + k · x f is a force, a is an angular acceleration, c is a damping coefficient (a force x time / a displacement), m is a weight, k is a stiffness constant (a force/ a displacement), v is an angular velocity, and x is a displacement. [m · a] L^ T^ [c. v] = M^ L^ T^ %3D [k · x] = M^ 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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Please do this carefully.
![Determine whether the following equations are dimensionally homogeneous.
f = m·a + c•v+ k•
f is a force, a is an angular acceleration, c is a damping coefficient (a force x time / a displacement), m
is a weight, k is a stiffness constant (a force/ a displacement), v is an angular velocity, and x is a
displacement.
[m · a] = M^
[c . v] = M^
L^
[k - x] = M^
L^
TA](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46ab2f56-ab23-4172-80ab-390e59dc1949%2Fadd3b98b-bb9c-4fd2-83e8-0630f40f5b6c%2F8qwax8t_processed.png&w=3840&q=75)
Transcribed Image Text:Determine whether the following equations are dimensionally homogeneous.
f = m·a + c•v+ k•
f is a force, a is an angular acceleration, c is a damping coefficient (a force x time / a displacement), m
is a weight, k is a stiffness constant (a force/ a displacement), v is an angular velocity, and x is a
displacement.
[m · a] = M^
[c . v] = M^
L^
[k - x] = M^
L^
TA
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