Transcription of 1 12. Rolling, Torque, and Angular Momentum
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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.
H The velocity and angular velocity at the bottom of the ramp can be calculated using energy conservation. The kinetic energy can be written as a sum of translational and rotational kinetic energy: K tot = K tran cm + K rot rel to cm = 1 2 mv cm 2 + 1 2 Icm w 2 where w is the angular speed of the rotation relative to the center of mass and Icm ...
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