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Conic Pendulum

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The conic pendulum is a system consisting of a mass hanging from a fixed point by a rope of length . It spins around the vertical with angle and with angular velocity . As the angular velocity increases, the angle from the vertical increases.

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The forces acting on the mass are the weight (red) and the tension (green), with resultant the centripetal force (magenta) equal to . The velocity vector is shown in yellow.

Finally, the relation between the angular velocity and the angle is .

For simplicity, the mass is taken as 1 kg and the radius equal to 1 m.

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Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA

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