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One end of string of length l is connect...

One end of string of length `l` is connected to a particle on 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 toward centre) will be (`T` reprents the tension in the string):

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The net force on the particle directed towards the centre is T this provides the necessary centripetal force to the particle moving in the circle .
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