s11f1009

s11f1009 - Solution for assignment 9a: For a bilinear...

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Unformatted text preview: Solution for assignment 9a: For a bilinear kinetic Energy we find by differentiation and carrying the sum over i out qi ˙ i ∂T = ∂ qi ˙ qi ˙ i = ∂ ∂ qi ˙ ajk qj qk = ˙˙ j,k qi (δij qk + qj δik ) ˙ ˙ ˙ i,j,k ajk (qj qk + qj qk ) = 2 T . ˙˙ ˙˙ j,k Solution for assignment 9b: Motivation of generalized momentum definition. ∂ ∂ xi ˙ 1 m v 2 − V (x) 2 = m xi = pi . ˙ ...
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This note was uploaded on 12/11/2011 for the course PHY 4936 taught by Professor Berg during the Fall '11 term at FSU.

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