Answered: (a) Knowing that the lagrangian of the… | bartleby

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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

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