*43. A thin rod (length = 1.50 m) is oriented vertically,
with its bottom end attached to the floor by means of a frictionless hinge.
The mass of the rod may be ignored, compared to the
mass of an object fixed to the top of the rod. The rod, starting from rest,
tips over and rotates downward. (a) What is the angular speed of the
rod just before it strikes the floor? (Hint: Consider using the principle
of conservation of mechanical energy.) (b) What is the magnitude
of the angular acceleration of the rod just before it strikes the floor?
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