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A massless spring (force constant k1) is suspended from

Classical Mechanics | 0th Edition | ISBN: 9781891389221 | Authors: John R Taylor ISBN: 9781891389221 90

Solution for problem 11.2 Chapter 11

Classical Mechanics | 0th Edition

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Classical Mechanics | 0th Edition | ISBN: 9781891389221 | Authors: John R Taylor

Classical Mechanics | 0th Edition

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Problem 11.2

A massless spring (force constant k1) is suspended from the ceiling, with a mass m1 hanging from its lower end. A second spring (force constant k2) is suspended from ml, and a second mass m2 is suspended from the second spring's lower end. Assuming that the masses move only in a vertical direction and using coordinates yi and y2 measured from the masses' equilibrium positions, show that the equations of motion can be written in the matrix form My = Ky, where y is the 2 x 1 column made up of yi and y2. Find the 2 x 2 matrices M and K.

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Textbook: Classical Mechanics
Edition: 0
Author: John R Taylor
ISBN: 9781891389221

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