Suppose there is some hollow vertical cylinder from which there passes a thread having two masses connected to its ends.When one mass is rotated in a circular path in the plane at the top of the cylinder then at a particular speed the mass at the bottom become static and doesn't move up or down.from where is that tension to balance the weight comes from? Is there centripetal or centrifugal force on the rotating mass?

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Hi! There's a slight misprint in Leavenotrace's perfect answer:
\[F=mv^2/r\]

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