4. The potential energy of a 2-kg mass is given by U = (-x° + 12x), where U is in Joules and x is in meters. The mass undergoes small oscillations about a stable equilibrium point. (a) Please identify all equilibrium points and indicate which are stable. (b) What is the angular frequency of the small oscillations of the mass about each stable equilibrium point?

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4. The potential energy of a 2-kg mass is given by U = (-x° + 12x), where U is in
Joules and x is in meters. The mass undergoes small oscillations about a stable
equilibrium point.
(a) Please identify all equilibrium points and indicate which are stable.
(b) What is the angular frequency of the small oscillations of the mass about
each stable equilibrium point?
Transcribed Image Text:4. The potential energy of a 2-kg mass is given by U = (-x° + 12x), where U is in Joules and x is in meters. The mass undergoes small oscillations about a stable equilibrium point. (a) Please identify all equilibrium points and indicate which are stable. (b) What is the angular frequency of the small oscillations of the mass about each stable equilibrium point?
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