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(b) Determine Lagrange's equations of motion for this particle.

(b) Determine Lagrange's equations of motion for this particle.

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Can you please tell me how the gravitational force affects the lagrangian equation? 

A particle of mass m is constrained to move on the inside surface of a smooth cone of half-angle a (i.e., z =r cot a) as shown in the figure to a gravitational force. The particle is subject to a gravitational force (i.e., g=-gk ). (a) Determine the Lagrangian for this particle in terms of the generalized coordinates r and 0. (b) Determine Lagrange's equations of motion for this particle.
Transcribed Image Text:A particle of mass m is constrained to move on the inside surface of a smooth cone of half-angle a (i.e., z =r cot a) as shown in the figure to a gravitational force. The particle is subject to a gravitational force (i.e., g=-gk ). (a) Determine the Lagrangian for this particle in terms of the generalized coordinates r and 0. (b) Determine Lagrange's equations of motion for this particle.
so the Langrangian is 1 L = m (² csc²a + rö*) – mgr cot a %3D (7.28)
Transcribed Image Text:so the Langrangian is 1 L = m (² csc²a + rö*) – mgr cot a %3D (7.28)
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