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Biomechanics_1 - Meeting 2 BMEn 3001 Biomechanics 5...

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Meeting 2 BMEn 3001 Biomechanics 5 September 2008
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Last Lecture Course Introduction
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Topics for Today Dimensional vs. Dimensionless Numbers Start Math Review – Scalars, Vectors, Matrices, and Tensors • Notation Basic operations
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MATLAB Tutorial Most of you have taken our MATLAB course and thus do not need an introduction. For those who do, a MATLAB tutorial is available in CC Appendix B. It will work you through the basic operations in MATLAB. It is only a support document, not an assignment. You do not need to turn anything in. I highly recommend it if you are not familiar with MATLAB. I have also placed an extra tutorial on the class WEBCT site.
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What is a Dimensional Quantity?
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What is a Dimensional Quantity? A quantity is said to have dimension in a physical sense if its magnitude is defined relative to some known quantity (the dimension). People sometimes call dimensions "units." My mass is about 100 kg, or about 220 lbm, or about 7 slugs, or any number of other things. To say that my mass is 100 is meaningless. The dimension (or unit) is necessary to define the quantity. Thus, mass, like most measurements, is dimensional.
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Why do we care? Force = Mass * Acceleration If force is in Newtons, mass in kilograms, and acceleration in meters per second per second, everything is fine. If, however, one attempted to use acceleration in feet per second per second, it would lead to a wrong answer.
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