Question: A uniform rigid bar of total mass in and length is hinged at point θ to a shaft rotating with the constant angular velocity S2 about a vertical axis, as shown in Fig. It is required to:
(a) Derive the equation for the angular motion θ(t) about θ.
(b) Determine the equilibrium positions, assuming that the angle O can range from 0 to 7T.
(c) Derive the differential equation for small angular motions Or (t) about 19, for each equilibrium position.
(d) Determine the stability nature of each equilibrium position.
