Unformatted text preview: T = 1 2 M tot ˙ R 2 + 1 2 μ ˙ r 2 , with the reduced mass μ given by: 1 μ = 1 m 1 + 1 m 2 The motion within and outside the centre of mass can be separated: ˙ ± L outside = ± τ outside ; ˙ ± L inside = ± τ inside ± p = m ± v m ; ± F ext = m ± a m ; ± F 12 = μ ± u 1.5.2 Collisions With collisions, where B are the coordinates of the collision and C an arbitrary other position, holds: ± p = m ± v m is constant, and T = 1 2 m ± v 2 m is constant. The changes in the relative velocities can be derived from: ± S = Δ ± p = μ ( ± v aft± v before ) . Further holds Δ ± L C = ± CB × ± S , ± p ± ± S = constant and ± L w.r.t. B is constant....
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 Spring '10
 Ye
 mechanics, DT DT DT

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