Tetherball

Consider a ball hung from rope of length l=2 ml=2~\text{m} which is attached to the top of a vertical pole. Initially, the rope is vertical and the ball is given a horizontal initial speed v0v_{0}. What is minimum initial speed v0v_{0} in meters per second for which the ball hits the top of the pole. Ignore friction, the mass of the rope and treat the ball as a point mass.

Details and assumptions

g=9.8 m/s2g=9.8~\text{m}/\text{s}^2

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