Two blocks each of mass M are connected to the ends of a light frame as shown in figure. The frame si rotated about the vertical line of symmetry. The rod breaks if the tension in it exceeds `T_0`. Find the maximum frequency with which the frame may be rotted without breaking the rod.

Explanation

Consider one of the blocks. If the frequencey of revolution is f, the angular velocity is `omega=2pif`. The acceleration towards the centre is `v^2/l=omega^2l=4pi^2f^2l`. The only horizontal force on the blck is the tension of the rod. At the point of breaking this foce is `T_0`. So from Newton's second law
`T_0=M.4pi^2f^2l`
or `f=1/(2pi) [T_0/(Ml)]^(1/2)`