Solve the below problem:
Q: A uniform slender rod AB of length L and mass m is pivoted at end A and released from a horizontal position. The angular velocity of the rod as it passes through the vertical position is known to be ω = 3vg/L.
(a) Express the tension in the rod at a distance z from end B in terms of z, m, g, and L for the vertical position.
(b) Knowing that the weight of the rod is 2 lb, determine the maximum tension in the rod for the vertical position.