Tuesday, November 22, 2011

What is the tension in the string at the bottom of the swing?

A pendulum is 0.5 m long and the bob has a mass of 1.0 kg. At the bottom of its swing, the bob's speed is 1.2 m/s. What is the tension in the string at the bottom of the swing?|||assumptions


: the rope has no a wight ( or light )





there are two forces acting on the rope


1. weight of bob


2. centrifugal force due to cicular motion of the sysytem





weight of bob = mass* accelaration dueto gravity


= 1 * 9.81


=9.81 N





centrifugal force = mass * tangential velocity^2 / radius


of themotion circle





= 1 * (1.2)^2 / 0.5





as both these forces are balanced by the rope the tension is the sum of these two





**** this method is valied only at the bottom position of the motion.

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