(16) Three Spring-Coupled Masses

Incidentally we need to introduce the arbitrary

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Unformatted text preview: tudes make up for the fact that we set the magnitudes of the vectors to to unity. Equation (219) yields (223) The preceding equation can be inverted by noting that , et cetera, because , , and are mutually perpendicular unit vectors. Thus, we obtain (224) This equation determines the three normal coordinates, coordinates, constants. , , , , , in terms of the three conventional . In general, the normal coordinates are undetermined to arbitrary multiplicative...
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This note was uploaded on 08/25/2013 for the course PHY 315 taught by Professor Staff during the Fall '08 term at University of Texas at Austin.

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