why does'nt a particle moving with uniform circular motion falls into the centre if force is acting on it towards the centre?

A particle moving with uniform circular motion does not falls into the center as the forces are balanced and net force is zero.

Force towards center is Tension (T).

Also, there is a centrifugal force acting outwards which is equal to mv² /r

Such that,

T=mv² /r

Hence,

F_{net =} 0

Since, all the forces are balanced, hence there is no displacement in this direction.

Please Approve!!

it is not true if the force applied is greater than mv^2/r the particle will ofcourse fall into the centre.when the force applied is equal to mv^2/r that will change the direction of the motion at every instant. giving rise to a circular motion.

drawing the free body diagrams of the body under circular motion will help to understand more.

Dear student,

This is because of centrepetal force acting on it...

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Sagar Singh

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