A point mass m slides without friction on a horizontal table at one end of a mass
Question:
(a) Find and sketch both the potential energy U(r) and the effective potential Ueff(r).
(b) What angular velocity w0 is required for a circular orbit with radius r0?
(c) Derive the frequency of small oscillations w about the circular orbit with radius r0. Express your answers for (b) and (c) in terms of k, m, r0, and a.
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