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HW9_prob4(b) - L d L dt = L x dL x dt L y dL y dt L z dL...

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HW12 Problem 4(b) Start with the fundamental equation governing the rate of change of angular momentum from Chapter 1 or Chapter 5 d L dt = N . (1) Next, take the dot product of Eq.(1) with L to get L · d L dt = L · N . (2) Now expand the left dot product of Eq.(2) as
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Unformatted text preview: L · d L dt = ( L x dL x dt + L y dL y dt + L z dL z dt ) = 1 2 d dt ( L 2 x + L 2 y + L 2 z ) = 1 2 dL 2 dt , (3) to obtain the desired result, 1 2 dL 2 dt = L · N . (4) 1...
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