Q5.4 One end of a string of length I 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 :
(i) $T$
Only force acting on the particle directed towards the centre is tension which provides the necessary centripetal force.
Tension, $T=\frac{\mathrm{mv}^2}{\mathrm{~L}}$
So the required force directed towards centre is equal to $T$.