Unformatted text preview: 3 April 11, 2010 [3.] Consider a rod of length L with the left end at the origin of a Cartesian coordinate system. The mass per length of the rod changes as a function of the distance from the origin according to the expression: With A positive and constant. [a] Find the mass of the rod. [b] Find the position of the center of mass of the rod. [c] Find the moment of inertia of the rod with respect to the zaxis (through the origin). [d] Find the moment of inertia of the rod with respect to an axis parallel to the zaxis and passing through the center of mass of the rod. Write your results in terms of L and A, and MAKE SURE TO SHOW YOUR WORK. Remember to check the units/dimensions for each answer.  6 Dr. Galeazzi PHY205 Test #3 April 11, 2010 7 Dr. Galeazzi PHY205 Test #3 April 11, 2010 [4.] On a flat, frozen surface, a hockey puck (#1) with mass m moves with speed toward a second puck (#2), which is at rest and has the same mass. The collision between the pucks is headon and can be considered elastic. Assume there is no friction. [a] Derive the velocity [b] Derive the velocity of puck #1 after the collision; of puck #2 after the collision; [c] Derive the velocity of the center of mass of the two pucks before the collision; [d] Derive the velocity of the center of mass of the two pucks after the collision. Write your results in terms of m and , and MAKE SURE TO SHOW YOUR WORK. If you exclude any solution, explain the physical reasoning for that. Remember to check the units/dimensions for each answer.  8 Dr. Galeazzi PHY205 Test #3 April 11, 2010 9 Dr. Galeazzi PHY205 Test #3 April 11, 2010 [5....
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 Fall '11
 Galeazzi
 Energy, Force, Kinetic Energy, Potential Energy, Dr. Galeazzi

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