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classical Mechanics problem: Suppose some particle of mass m is confined to move, without friction, in...

classical Mechanics problem:

Suppose some particle of mass m is confined to move, without friction, in a vertical plane, with axes x horizontal and y vertically up. The plane is forced to rotate with angular velocity of magnitude Ω about the y axis. Find the equation of motion for x and y, solve them, and describe the possible motions. This is not meant to be a lagrangian problem.
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