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Unformatted text preview: Lecture 14 Purdue University, Physics 220 1 Lecture 14 Rotational Kinetic Energy and Inertia Textbook Sections 8.1  8.3 PHYSICS 220 Lecture 14 Purdue University, Physics 220 2 Overview Last Lecture Center of Mass (Balance Point) Collisions and Explosions Draw before, after Define system so that F ext = 0 Set up axes Compute p total before Compute p total after Set them equal to each other Today Rotational Kinetic Energy Rotational Inertia Torque Equilibrium Lecture 14 Purdue University, Physics 220 2 Overview Last Lecture Center of Mass (Balance Point) Collisions and Explosions Draw before, after Define system so that F ext = 0 Set up axes Compute p total before Compute p total after Set them equal to each other Today Rotational Kinetic Energy Rotational Inertia Torque Equilibrium Lecture 14 Purdue University, Physics 220 3 Rotational Kinematics Angular Linear And for a point at a distance R from the rotation axis: x = R v = R a = R Lecture 14 Purdue University, Physics 220 4 Rotations: Axes and Sign When we talk about rotation, it is implied that there is a rotation axis. This is usually called the z axis (we usually omit the z subscript for simplicity). Use the righthand rule to determine the direction of rotation. Counterclockwise (increasing ) is usually called positive. Clockwise (decreasing ) is usually called negative. z + Lecture 14 Purdue University, Physics 220 5 Rotational Kinetic Energy Consider a mass M on the end of a string being spun around in a circle with radius r and angular velocity Mass has speed v = r Mass has kinetic energy K = M v 2 = (M r 2 ) 2 Rotational Kinetic Energy is energy due to circular motion of object....
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This note was uploaded on 09/17/2010 for the course PHYS 220 taught by Professor Chang during the Spring '09 term at Purdue UniversityWest Lafayette.
 Spring '09
 CHANG

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