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Unformatted text preview: 1 Physics 231 General University Physics Spring 2007 Lecture 22 Last Meeting Conservation of Momentum Impulse and Momentum Today Center of Mass Introduction Demo: Tennis Balls Tied to a String Average Position Note: No mass is at average position (in this example)! x Center of Mass i i i CM m x m x = 2 Balancing & Hanging Demo: Marble in Glass Bowl Demo: Ball on String Minimum Potential Energy CM i i Mgy gy m U = = Balancing & Hanging Demo: Hanging Irregularly-Shaped Board Demo: Disk with Slug Rolling Uphill Demo: Double Cone Rolling Uphill Minimum Potential Energy CM i i Mgy gy m U = = Stable and Unstable Equilibrium Demo: Marble on Inverted Glass Bowl Demo: Try to Balance Pencil on Tip Demo: Balancing Clown 3 Motion of the Center of Mass LD: (Mech. Univ. #15.15) Motion of CM Motion of a System of Particles Position of Center of Mass Velocity of Center of Mass i i i CM m r m r = G G i i i i i i CM CM...
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