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(a) Knowing that the lagrangian of the system is: 1 sin? 7m gacos(@) Find the generalized momenta (b) Determine the Hamiltonian function

(a) Knowing that the lagrangian of the system is: 1 sin? 7m gacos(@) Find the generalized momenta (b) Determine the Hamiltonian function

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Hamiltonian A ball of mass m and negligible ra- dius can slide freely and without fric- tion around a torus of Mass M radius a, at an angular velocity 6. At the same time the torus spinning around a vertical axis passing through it's cen- ter at an angular velocity o'. Given the moment of inertia of the torus around the vertical axis is equal to EMa and the zero potential energy reference passes through the center of the torus as shown in the figure. Torus (mass M) ball mass (m) asin(6) 5-0 (a) Knowing that the lagrangian of the system is. +. Find the generalized momenta (b) Determime the Hamilronian fuction
Transcribed Image Text:Hamiltonian A ball of mass m and negligible ra- dius can slide freely and without fric- tion around a torus of Mass M radius a, at an angular velocity 6. At the same time the torus spinning around a vertical axis passing through it's cen- ter at an angular velocity o'. Given the moment of inertia of the torus around the vertical axis is equal to EMa and the zero potential energy reference passes through the center of the torus as shown in the figure. Torus (mass M) ball mass (m) asin(6) 5-0 (a) Knowing that the lagrangian of the system is. +. Find the generalized momenta (b) Determime the Hamilronian fuction
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