43 - Each part of every 2D path can be approximated by a...

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Physics 140: Winter 2012 Lecture #3 January 18, 2012 Dr. Dave Winn Racquetball Striking a Wall Copyright: Loren M. Winters Mt. Etna Andrew Davidhazy My Office Hours (1416 Randall Lab) Monday 1pm-3pm Tuesday 1pm-3pm
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Another special 2D motion • Uniform circular motion, another special case of 2D motion • Object traveling at constant speed on a circle needs a force of fixed size, always to motion, to keep moving in a circle a v v a v a v a
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How large is the acceleration in circular motion? • We can tell just by examining the path • Acceleration is big when v is large or the circle is small… i v f v f v i v v r v a t v a r s v v v v s t 2 s
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Approximate circular motion
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Unformatted text preview: Each part of every 2D path can be approximated by a part of a circle This lets you estimate the component of the acceleration Where it curves fast, r is small, and v 2 /r is large; when slow, its small r eff r eff Relative Velocity Let r A/B be the relative position of object A with respect to object B (or frame of reference B ) Let v A/B be the relative velocity of object A with respect to object B (or frame of reference B ) A B B P A P r r r / / / A B B P A P v v v / / / Differentiate with respect to time: Velocity addition (Galilean transformation)...
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This note was uploaded on 01/18/2012 for the course PHYSICS 140 taught by Professor Evrard during the Winter '07 term at University of Michigan.

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43 - Each part of every 2D path can be approximated by a...

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