problem05_94

University Physics with Modern Physics with Mastering Physics (11th Edition)

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5.94: The banked angle of the track has the same form as that found in Example 5.24, , tan 2 0 gR v β = where 0 v is the ideal speed, s m 20 in this case. For speeds larger than 0 v , a frictional force is needed to keep the car from skidding. In this case, the inward force will consist of a part due to the normal force n and the friction force . cos sin ; rad ma β f β n f = + The normal and friction forces both have vertical components; since there is no vertical acceleration, . sin cos mg β f β n = - Using n f
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Unformatted text preview: s = and , tan 25 . 2 2 2 ) 5 . 1 ( rad g a R v R v = = = these two relations become . sin cos , tan 25 . 2 cos sin s s mg n n mg n n =-= + Dividing to cancel n gives . tan 25 . 2 sin cos cos sin s s =-+ Solving for s and simplifying yields . sin 25 . 1 1 cos sin 25 . 1 2 s + = Using ( 29 = = 79 . 18 arctan m) 120 )( s m 80 . 9 ( s) m 20 ( 2 2 gives . 34 . s =...
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This document was uploaded on 02/04/2008.

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