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What is the difference between a polished rope and a polished rod in college physics exercises?
If it is a rope, the kinetic energy at the end can't be zero, because the rope is soft and can't support the ball, so if the ball wants to pass the highest point, it must have speed, and the gravity the ball receives is the centripetal force.

The difference between a rope and a pole is that the pole can support a ball, and the speed of the ball at the highest point can be 0.