A uniform stick AB has length L. It is tossed up from horizontal position such that its centre receives a velocity `u pi sqrt(gL)` in vertically upward direction and the stick gets an angular velocity. The stick lands back to its point of projection in horizontal position. During its course of flight its angular velocity remained constant and the stick made one complete rotation. Stick rotates in vertical plane.
(a) Calculate the angular velocity `(omega)` imparted to the stick.
(b) Calculate the maximum height, above the point of projection, to which the end B of the stick rises.
[Take solution of equation `cos x = 2x " to be " x = 0.45 " and " sin (0.45) = 0.43]`

Answer

(a) `omega = sqrt((g)/(L))`
(b) `h_(B) = 5.04L`