A solid cylinder of mass m, radius a, and length l is pivoted about a transverse axis (B - B') through its center of mass as shown in Fig. P4.10. The axis (A - A') rotates with a constant angular velocity omega. Assume l > square root 3a. Find the frequency omega_n of small oscillations about theta = pi/2. What is the angular velocity theta* when theta = pi/2, if the cylinder is released from theta = 0 with a very small positive value of theta_0? Determine theta * as a function of m, a, l, and omega. Consider the free rotational motion of an axially symmetric rigid body.