Phys2A_F07_Lecture_15

Phys2A_F07_Lecture_15 - Dynamics of Uniform Circular Motion...

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W. P. Beyermann Fall 2007 1 Dynamics of Uniform Circular Motion For uniform circular motion, a force, whose magnitude is constant, but its direction always points from the object to the center of rotation, is needed to provide the centripetal acceleration.
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W. P. Beyermann Fall 2007 2 r-t-z Coordinate System
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W. P. Beyermann Fall 2007 3 r m r mv ma F F r r r net 2 2 ) ( ω = = = = 0 ) ( = = = t t t net ma F F For uniform circular motion: 0 ) ( = = = z z z net ma F F
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W. P. Beyermann Fall 2007 4 Conceptual Example A block on a string spins in a horizontal circle on a frictionless table. Rank order, from largest to smallest, the tensions acting on the blocks in figures a-e. d > b = e > c > a
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W. P. Beyermann Fall 2007 5 Example: Turing the Corner What is the maximum speed with which a 1500 kg car can make a left turn around a curve of radius 50 m on a level (unbanked) road without sliding?
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W. P. Beyermann Fall 2007 6 r mv ma f F F r s r r net 2 ) ( = = = = (1) (2) 0 ) ( = = = w n F F z z net Eq. (1) becomes m r f v s = The maximum velocity occurs when n f s s μ = m nr v s = max (3) Eq. (2) becomes mg w n = = (4)
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W. P. Beyermann Fall 2007 7 m/s 1 . 22 m 50 m/s 9.8 0 . 1 2
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This note was uploaded on 04/07/2008 for the course PHY 2A taught by Professor Beyermann during the Fall '08 term at UC Riverside.

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Phys2A_F07_Lecture_15 - Dynamics of Uniform Circular Motion...

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