Grade 11Wave Motion
Show that the kinetic energy of the two-body oscillator of Fig. 17-21a is given by K = ![src=data:image/png;base64,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]()
where m is the reduced mass and vx (= v1x - v2x) is the relative velocity. It may help to note that linear momentum is conserved while the system oscillates.
