Question

Two particles each of mass m are moving in horizontal circle with same angular speed.If both string are of same length then the ratio of tension in string T1/T2 is?

Answer 1

The given data states that the angular velocity and the length of the string is same with their masses be equal then as per the horizontal circular motion concept we know, the tension in the string is equal to the centripetal force acting on the mass to maintain the motion, which is,

                        $T = mass \times radius\quad of\quad circle \times angular\quad velocity$.

In $T_1$ and $T_2$ of both the strings, every thing is equal or similar.

Therefore,

                 $\frac { { T }_{ 1 } }{ { T }_{ 2 } } =1$

or rather say,

                 $T_1 = T_2$