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Rotational Motion - Physics

R-1 11/8/2013 University of Colorado at Boulder Rotational Motion We are going to consider the Motion of a rigid body about a fixed axis of rotation. The angle of rotation is measured in radians: s(rads) (dimensionless)r Notice that for a given angle , the ratio s/r is independent of the size of the circle. Example: How many radians in 180o? Circumference C = 2 r rs =radsrr rads = 180o, 1 rad = Angle of a rigid object is measured relative to some reference orientation, just like 1D position x is measured relative to some reference position (the origin).

Conservation of energy problem with rolling motion: A sphere, a hoop, and a cylinder, each with mass M and radius R, all start from rest at the top of an inclined plane and roll down to the bottom. Which object reaches the bottom first? Apply Conservation of Energy to determine v final. Largest v final will be the winner.

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