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5. Consider a particle of mass m constrained to move on the surface of a paraboloid whose equation (in cylindrical coordinates) is r=4az. If the particle is subject to a gravitational force, show that the frequency of small oscillations about a circular orbit 2g with radius p= 4az, is w= Va +z,

5. Consider a particle of mass m constrained to move on the surface of a paraboloid whose equation (in cylindrical coordinates) is r=4az. If the particle is subject to a gravitational force, show that the frequency of small oscillations about a circular orbit 2g with radius p= 4az, is w= Va +z,

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5. Consider a particle of mass m constrained to move on the surface of a paraboloid whose equation (in cylindrical coordinates) is r=4az. If the particle is subject to a gravitational force, show that the frequency of small oscillations about a circular orbit 2g Va +z, with radius p = J4az, is @ =
Transcribed Image Text:5. Consider a particle of mass m constrained to move on the surface of a paraboloid whose equation (in cylindrical coordinates) is r=4az. If the particle is subject to a gravitational force, show that the frequency of small oscillations about a circular orbit 2g Va +z, with radius p = J4az, is @ =
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