Suppose that a particle of mass m is constrained to move on the ellipsoid 2x 2 + 3y2 +
Chapter 4, Problem 10(choose chapter or problem)
Suppose that a particle of mass m is constrained to move on the ellipsoid 2x 2 + 3y2 + z2 = 1 subject to both a gravitational force F = mgk, as well as to an additional potential V(x, y,z) = 2x. (a) Find any equilibrium points for this situation. (b) Are there any stable equilibria?
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