Tension of a Rope with a Hanging Mass

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A ball of mass hangs at from a rope of negligible weight extending between two posts; the tensions and in both parts of the rope are calculated.

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



The conditions of static equilibrium for forces are and . In this case, this means and , where and are the angles between the rope and the horizontal line joining the ends of the rope, and are the tensions between the ends of the rope and the ball, and is the weight of the ball.

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