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6. Consider a mass m which is constrained to move on the frictionless surface of a vertical cone (Fig. 1) (in cylindrical polar coordinates p, o, z with z>0) in a uniform gravitational field g vertically down. Find Hamiltonian function of the cone and deduce Hamilton's equations. こ Р SohCahtoa cos 4 y = pcosd + psind sing Fig. 1

6. Consider a mass m which is constrained to move on the frictionless surface of a vertical cone (Fig. 1) (in cylindrical polar coordinates p, o, z with z>0) in a uniform gravitational field g vertically down. Find Hamiltonian function of the cone and deduce Hamilton's equations. こ Р SohCahtoa cos 4 y = pcosd + psind sing Fig. 1

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6. Consider a mass m which is constrained to move on the frictionless surface of a vertical cone (Fig. 1) (in cylindrical polar coordinates p. p, z with z>0) in a uniform gravitational field g vertically down. Find Hamiltonian function of the cone and deduce Hamilton's equations. z SohCahtoa sing cos r = pcosd + psind Fig. 1
Transcribed Image Text:6. Consider a mass m which is constrained to move on the frictionless surface of a vertical cone (Fig. 1) (in cylindrical polar coordinates p. p, z with z>0) in a uniform gravitational field g vertically down. Find Hamiltonian function of the cone and deduce Hamilton's equations. z SohCahtoa sing cos r = pcosd + psind Fig. 1
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