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Prob0108s - PHYS1417 Basics Physics Problem set 1 Due Date...

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PHYS1417 Basics Physics Problem set 1 Due Date: 5:00 p.m., March 9, 2009 Answer all questions in this problem set. 1. A river with a water current running at 4 km/hr is 0.25 km wide between parallel banks. A boat whose speed in still water is 6 km/hr wishes to cross. In what direction should it be headed so as to cross the stream 6 km/hr in still water 0.25 km Water current Boat 4 km/hr (a) in the least possible time, (b) to a point directly opposite its starting point? (c) Find the time in each case and the distance moved downstream in case (a). 2. Three uniform thin rods, each of length L , are arranged in an inverted U , as shown in the figure. The two rods on the arms of the inverted U each has mass M ; the third rod has mass 3 M . (a) Where is the center of mass of the system? Give your answer with respect to the reference point at O . O L L M 3M L M L M 3M L L M (b) Find the moment of inertia about an axis passing through the center of the 3 M rod. The moment of inertia of a rod of mass m and length l is 2 1 12 ml when it is rotating about an axis normal to the rod and passing through its center. 1
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