Question: Consider a particle of mass m constrained to move on the surface of a paraboloid whose equation (in cylindrical coordinates) is r2 = 4az. If

Consider a particle of mass m constrained to move on the surface of a paraboloid whose equation (in cylindrical coordinates) is r2 = 4az. If the particle is subject to a gravitational force, show that the frequency of small oscillations about a circular orbit with radius p = √4az0 is

2g Va + z0

2g Va + z0

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