Two particles each of mass m are attached to a string under (constant) tension T , as

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Two particles each of mass m are attached to a string under (constant) tension T , as indicated in Fig. 7.1.10. Assume that the particles oscillate vertically (that is, parallel to the y-axis) with amplitudes so small that the sines of the angles shown are accurately approximated by their tangents. Show that the displacements y1 and y2 satisfy the equations

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where k = mL/T.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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