A uniform disc of radius 'R' is rotating about vertical axis passing through the centre in horizontal plane with constant angular speed. A massless pole AB is fixed on its circumference as shown in the figure. A light string of length 2R is tied at A and a small bob at its other end. In equilibrium string makes an angle `37^(@)` with vertical. The angular speed of disc is `("take" R=(3)/(11)m,g=10m//s^(2))`