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An Introduction to Matrix Formalism for Two Masses

The general case of two masses bound by two lateral springs k and L2, and coupled by a coupling spring, in Fig. 5-2b, has [Pg.138]

The rules of matrix-vector multiplication show that the matrix form is the same as the algebraic form, Eq. (5-25) [Pg.138]

Interest now centers on the matr ix K. Equation (5-26) is general, but to introduce the method, let all spr ings have the same force constant. We have the matr ix arising from the equations of motion. [Pg.138]

If the coupling spring is missing [k = 0 in Eq. (5-28)], we get a unique diagonal matrix [Pg.139]

Because the masses are the same, these equations describe independent oscillators with identical frequencies, as in Fig. 5-la. [Pg.139]


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