1.6 In a certain application, the coordinate a and the position coordinate x of a particle are related by gka a = W where g is the gravitational acceleration, k is a constant, and Wis the weight of the particle. Show that this equation is dimensionally consistent if the dimension of k is [FIL].

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.10P: A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the...
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1.6 In a certain application, the coordinate a and the position coordinate x of a particle are related by
gka
a =
W
where g is the gravitational acceleration, k is a constant, and Wis the weight of the particle. Show that this
equation is dimensionally consistent if the dimension of k is [FIL].
Transcribed Image Text:1.6 In a certain application, the coordinate a and the position coordinate x of a particle are related by gka a = W where g is the gravitational acceleration, k is a constant, and Wis the weight of the particle. Show that this equation is dimensionally consistent if the dimension of k is [FIL].
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