# test4 - TEST 4(phy 240 1 a For what type of rigid bodies...

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TEST 4 (phy 240) 1. a) For what type of rigid bodies does angular velocity have the same direction as angular momentum? b) Write the law of angular momentum conservation. c) Why are fluids good lubricants? d) What is described by strain? 2. A uniform rod of length L and mass M is free to rotate on a frictionless pin passing through one end (as in the figure). The rod is released from rest in the horizontal position. a) Show that the rotational inertia of the rod (about the pin) is 2 z ML 3 1 I = . b) Determine the initial angular acceleration of the rod. c) Determine the force exerted by the pin at the initial moment. 3. An open tank containing water has a hole in its side at a distance h from the tank’s bottom. The hole is open to the atmosphere, and its diameter is much smaller than the diameter of the tank. a) Determine the speed at which liquid flows out of the hole when the water’s level is at distance y above the hole. b) At what rate does the level in the tank change. 4. A shelf bracket is mounted loosely on a vertical wall by a single, 4 mm in diameter, steel 2 screw (as shown in Figure P12.53). The shelf exerts an 80 N force with its center 5 cm from the wall. Ignoring the weight of the bracket and the frictional force between the bracket and the wall, find a) the force (vector) exerted on the screw by the bracket.

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