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International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
ISBN: 9781305501607
Chapter 1, Problem 1.6P
Textbook Problem
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In a certain application, the coordinate a and the position coordinate x of a particle are related by a = g k x W where g is the gravitational acceleration, k is. a constant, and W is the weight of the particle. Show that this equation is dimensionally consistent if the dimension of k is [F/L].

To determine

To Show:

The given equation is dimensionally consistent if the dimension of k is [F/L].

Explanation of Solution

Given Information:

  a=gkxW

Calculation:

Assume that the given equation is dimensionally consistent. Then,

   [a]=[gkxW] [a][W]=[g][k][x] [ L T 2 ][M]=[ L T 2

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Chapter 1 Solutions

International Edition---engineering Mechanics: Statics, 4th Edition
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