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
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Author:Sadiku, Matthew N. O.
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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
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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