A metal rod of length L = 3.0 m is free to rotate about a frictionless hinge at one end (Fig. P9.22). The rod is initially at rest and oriented horizontally and then released so that it swings to the bottom. (a) What are all the forces acting on the rod? Which force or forces do work on the rod as it swings? (b) Is the mechanical energy of the rod conserved? (c) Make a sketch showing the rod in its initial orientation and when it is at the bottom of its swing. (d) What is the initial mechanical energy of the rod? Choose the zero of potential energy so that the final PE is zero. (e) If the speed of the end of the rod when it is at its lowest point is vf, what is the final mechanical energy of the rod? Express your answer in terms of vf. (f) Find vf.
Figure P9.22
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