Consider a cone with half angle a is placed such a way that vertex is at origin and its axis is along z direction. Obtain the expression for radial acceleration of a particle of mass m is constrained to move on the surface of the cone by taking Lagrangian in terms of spherical polar coordinates r and o. (Assume 1 is the angular momentum along = direction)

Consider a cone with half angle a is placed such a way that vertex is at origin and its axis is along z direction. Obtain the expression for radial acceleration of a particle of mass m is constrained to move on the surface of the cone by taking Lagrangian in terms of spherical polar coordinates r and o. (Assume 1 is the angular momentum along = direction)

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Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.

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