rLpmrr∂==∂±±rprm=±2Lpmrθ∂∂±±2pmr=±22222triirppkHpqLprpemmrrβ−=−=+−−−∑±±±±Substituting for and r±±… 222trppkHe−=+−(b) H = T + V … which is time-dependent (c) E is not conserved 10.29Locate center of coordinate system at C.M. The potential is independent of the center of mass coordinates. Therefore, they are ignorable. (r1,θ1) LTV=−()222 22111211 122 2mrrrkr r lθθ=+++ −+−where lis the length of the relaxed spring and kis the spring constant. 1rLpmrr∂∂±±111rprm=±21L1pmr∂∂±±112p=±(r2,θ2) … and similarly for m2q∑L2121212ppHkr mmr− +−rrlEquations of motion … First, θ
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