Which one of the following equations is dimensionally homogeneous? Show your proof. a. F= ma F = m- R b. c. F(t, -4) = m(V, - v,) d. F= mV (V½ – V) e. F= m- where F = force (N) m= mass (kg) a – acceleration (m/s²) V – velocity (m/s) R= radius (m) t = time (s)
Which one of the following equations is dimensionally homogeneous? Show your proof. a. F= ma F = m- R b. c. F(t, -4) = m(V, - v,) d. F= mV (V½ – V) e. F= m- where F = force (N) m= mass (kg) a – acceleration (m/s²) V – velocity (m/s) R= radius (m) t = time (s)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Which one of the following equations is
dimensionally homogeneous? Show your
proof.
a. F= ma
F = m-
R
b.
c. F(t, -4) = m(V, - v,)
d. F= mV
(V½ – V)
e. F= m-
where
F = force (N)
m= mass (kg)
a – acceleration (m/s²)
V – velocity (m/s)
R= radius (m)
t = time (s)
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