Question

A ball of mass 'm' is attached to the free end of an inextensible string of length 'l'. Let 'T' be the tension in the string. The ball is moving in horizontal circular path about the vertical axis. The angular velocity of the ball at any particular instant will be ______.

Options

• `sqrt((Tm)/l)`

• `sqrt((Tl)/m)`

• `sqrt(T/(ml))`

• `sqrt((ml)/T)`

Answer 1

A ball of mass 'm' is attached to the free end of an inextensible string of length 'l'. Let 'T' be the tension in the string. The ball is moving in horizontal circular path about the vertical axis. The angular velocity of the ball at any particular instant will be `underline(sqrt(T/(ml)))`.

Explanation:

T = mlω²

`therefore omega=sqrt(T/(ml))`