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(A) The particle is moving in a uniform circular motion on a smooth horizontal table.In this motion,the only horizontal force acting on the particle t

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$T$

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(A) The particle is moving in a uniform circular motion on a smooth horizontal table.In this motion,the only horizontal force acting on the particle towards the center of the circle is the tension $T$ in the string.According to Newton's second law of motion,the net force acting on a body in circular motion must be equal to the centripetal force required for that motion.The centripetal force $F_c$ is given by the formula $F_c = \frac{m v^{2}}{l}$.Since the tension $T$ is the only force providing this centripetal force,we have:Net force (directed towards the centre) $= T = \frac{m v^{2}}{l}$.Therefore,the net force on the particle directed towards the centre is $T$.

One end of a string of length $l$ is connected to a particle of mass $m$ and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed $v$,the net force on the particle (directed towards the centre) is ($T$ is the tension in the string).

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