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Unformatted text preview: 3. Since we are dealing with small oscillations, the angular position of m 1 is 1 , that of m 2 is at 2 / 3 + 2 and that of m 3 is at 4 / 3 + 3 . Use the i as your generalized coordinates, and solve the problem using the Lagrangian approach of Taylor section 11.6 to nd the mass and springconstant matrices. Having those in hand, you can easy nd the eigenfrequencies, perhaps making use of Mathematica to solve any unwieldy systems of linear equations you may encounter. With the eigenfrequencies in hand, the normal modes can easily found, making use of the ansatz of Equation (11.10). 6102 Problem. Use a computer to nd the normal mode frequencies of a 1dimensional system of 10 masses connected by 11 springs, with rigid walls on both ends. All masses 0.1 kg and all springs have k = 5N/m. 1...
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This note was uploaded on 12/10/2011 for the course PHYS 4102 taught by Professor Fertig during the Spring '11 term at University of Georgia Athens.
 Spring '11
 FERTIG
 Mass, Work

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