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Dynamics of uniform circular motion
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One end of string of length l is connected to a particle of mass 'm' and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed 'v', the net force on the particle (directed towards center) will be (T represents the tension in the string)
On a smooth horizontal table, tension alone supplies the centripetal force.
The centripetal force $\left(\frac{mv^2}{l}\right)$ is provided by the tension, so the net force towards the centre is equal to the tension, i.e. T.