In checking the dimensions of an equation, you should note that derivatives also possess dimensions. For example,

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In checking the dimensions of an equation, you should note that derivatives also possess dimensions. For example, the dimension of ds/dt is LT –1 and the dimension of d2s/dtis LT–2, where s denotes distance and t denotes time. Determine whether the equation:

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for the time rate of change of total energy E in a pendulum system with damping force is dimensionally compatible.

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A First Course In Mathematical Modeling

ISBN: 9781285050904

5th Edition

Authors: Frank R. Giordano, William P. Fox, Steven B. Horton

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