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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Question

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

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