# Galeazzi phy205 test 3 april 11 2010 5 dr galeazzi

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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 z-axis (through the origin). [d] Find the moment of inertia of the rod with respect to an axis parallel to the z-axis 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 head-on 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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