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1 12. Rolling, Torque, and Angular Momentum

112. Rolling, Torque, and Angular MomentumRolling motion : A motion that is a combination of rotationaland translational motion , a wheel rollingdown the road. Will only consider rolling with out a disk or sphere rolling along a horizontalsurface, the motion can be considered in twoways: of rotational and translationalmotion: Center of mass moves in a translationalmotion. The rest of the body is rotating around thecenter of cmvvcmfifi II. Pure Rotational motion :2 The whole object is revolving around apoint on the object in contact with thesurface. The point of contact changes with time. Most people find method I simpler gndfiaxis of rotationUse method I to analyze rolling withoutslipping:RRd= 2 When the object makes one completerevolution, the object has moved a distanceequal to the circumference, and each point onthe exterior has touched the ground once.

respect to the ground for the rolling motion. • v is the velocity of a point on the object with respect to the axis of rotation. The velocity of any point on the disk as seen by an observer on the ground is the vector sum of the velocity with respect to the center of mass and the velocity of the center of mass with respect to the ground: r v ...

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