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Ball on a string

Physics Asked by latin333 on January 27, 2021

A ball is attached to a string on a pole (i.e. Totem Tennis). If you hit the ball harder tangentially and horizontally, what will happen to the centripetal force, velocity and radius? Intuitively it seems the radius of motion will initially increase in an outwards spiral before an inwards spiral back towards the pole, but I’m looking for an explanation using physics concepts.

One Answer

If the ball is already revolving in a stable circle, and you add tangential velocity to it, it will have more energy than is needed for the circular orbit it started with. It's going to start to oscillate, going higher and losing speed, swinging back down and gaining speed back, and so on. It's analogous to an object in orbit in space (but not the same since it's not moving in a plane in this case)

Answered by Kristoffer Sjöö on January 27, 2021

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