(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider a particle of massmconstrained to move on the surface of a paraboloid whose equation (in cylindrical coordinates) is [tex]r^2=4az[/tex]. If the particle is subject to a gravitational force, show that the frequency of small oscillations about a circular orbit with radius [tex]\rho=\sqrt{4az_0}[/tex] is

[tex]\omega=\sqrt{\frac{2g}{a+z_0}}[/tex]

2. Relevant equations

3. The attempt at a solution

The problem that I'm having is that I don't understand the wording of the question?

How do I draw out this scenario?

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# Homework Help: Particle in gravitational field

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