A uniform rod of length 'l' is pivoted at one ofits ends on a vertical shaft of negligible radius.When the shaft rotates at angular speed
ω therod makes an angle
θ with it (see figure). Tofind
θ equate the rate of change of angularmomentum (direction going into the paper )
ω2sinθcosθ about the centre of mass(CM) to the torque provided by the horizontaland vertical forces
FH and
FV about the
CM. Thevalue of
θ is then such that: