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Question: sec 23 classical mechanics problem 21 for a system of...

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Sec. 2-3] CLASSICAL MECHANICS Problem 2-1. For a system of two particles moving in two dimensions, with masses mı and mag and cartesian coordinates x, y, 2a.v2, the kinetic energy is We now replace zı, Y1, x2, y2 by four new variables, X, Y, z12, y12, where mi t m2 X and Yare the coordinates of the center of gravity; 12 and y12 are the relative coordi- nates, which give the position of the second particle with respect to the first. Express K in terms of the velocities X, Y, žie, yrn in the new system of variables. Explain the significance of this calculation. By analogy, you can now write the corresponding expressions for the kinetic energy for a system of two particles in three dimensions.
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