Biomechanics_1

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 deFned 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 deFne 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 ±ne. If, however, one attempted to use acceleration in feet per second per second, it would lead to a wrong answer. • MKS (like CGS) will try to seduce you into being
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This note was uploaded on 09/16/2008 for the course BMEN 3001 taught by Professor Victorbarocas during the Spring '08 term at Minnesota.

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Biomechanics_1 - Meeting 2 BMEn 3001 Biomechanics 5...

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