Phys205A_Lecture28

Physics for Scientists & Engineers with Modern Physics (4th Edition)

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Chapter 10 Rotation of a Rigid Object about a Fixed Axis
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Rigid Object z A rigid object is one that is nondeformable z The relative locations of all particles making up the object remain constant z All real objects are deformable to some extent, but the rigid object model is very useful in many situations where the deformation is negligible z This simplification allows analysis of the motion of an extended object
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Angular Position z Axis of rotation is the center of the disc z Choose a fixed reference line z Point P is at a fixed distance r from the origin z A small element of the disc can be modeled as a particle at P
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z Point P will rotate about the origin in a circle of radius r z Every particle on the disc undergoes circular motion about the origin, O z Polar coordinates are convenient to use to represent the position of P (or any other point) z P is located at ( r , θ ) where r is the distance from the origin to P and is the measured counterclockwise from the reference line Angular Position, 2
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Angular Position, 3 z As the particle moves, the only coordinate that changes is θ z As the particle moves through θ , it moves though an arc length s . z The θ is proportional to S
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Radian z This can also be expressed as z s = θ r z θ is a pure number, but commonly is given the
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Phys205A_Lecture28 - Chapter 10 Rotation of a Rigid Object...

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