Unformatted text preview: ⊥ to each other. For a principal axis holds: ∂ I ∂ω x = ∂ I ∂ω y = ∂ I ∂ω z = 0 so L ± n = 0 The following holds: ˙ ω k =a ijk ω i ω j with a ijk = I iI j I k if I 1 ≤ I 2 ≤ I 3 . 1.6.3 Time dependence For torque of force ± τ holds: ± τ ± = I ¨ θ ; d ±± ± L ± dt = ± τ ±±ω × ± L ± The torque ± T is de±ned by: ± T = ± F × ± d . 1.7 Variational Calculus, Hamilton and Lagrange mechanics 1.7.1 Variational Calculus Starting with: δ b ² a L ( q, ˙ q,t ) dt = 0 with δ ( a ) = δ ( b ) = 0 and δ ³ du dx ´ = d dx ( δ u )...
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 Spring '10
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 Dynamics, Angular Momentum, Moment Of Inertia, central axis, plane thr. c.o.m, m Cavern sphere Bar

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