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A free particle of mass

*m*is release from a state of rest on a rotating, sloping, rigid plane. The angular rotation rate about a vertical axis is

*omega*and the angle formed by the plane with the horizontal is

*theta*. Friction and centrifugal forces are negligible. What is the maximum speed acquired by the particle, and what is its maximum downhill displacement?

- I am pretty sure the answers are derived symbolically by determining when the coriolis force comes into balance with the component of the gravitational force down the slope.

Any insight would be much appreciated....