An engineer wants to design a circular racetrack of radius L such that cars of mass M can go around the track at speed W without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle 0 of the track, measured from the horizontal. Express the answer in 0 = -1 w tan terms of M, L, W, and g. Lg Suppose the race cars actually round the track at a speed u > W. What additional radial force F, is required to keep ML(1² – w² ) F, = the cars on the track at this speed? Express the answer in terms of M, L, W, u, and g. I|

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 64P: A runner taking part in the 200-m dash must run around the end of a track that has a circular arc...
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The answer to the first question is correct I can't figure out the second one.

An engineer wants to design a circular racetrack of radius L
such that cars of mass M can go around the track at speed W
without the aid of friction or other forces other than the
perpendicular contact force from the track surface.
Find an expression for the required banking angle 0 of the
track, measured from the horizontal. Express the answer in
0 =
-1 w
tan
terms of M, L, W, and g.
Lg
Suppose the race cars actually round the track at a speed
u > W. What additional radial force F, is required to keep
ML(1² – w² )
F, =
the cars on the track at this speed? Express the answer in
terms of M, L, W, u, and g.
I|
Transcribed Image Text:An engineer wants to design a circular racetrack of radius L such that cars of mass M can go around the track at speed W without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle 0 of the track, measured from the horizontal. Express the answer in 0 = -1 w tan terms of M, L, W, and g. Lg Suppose the race cars actually round the track at a speed u > W. What additional radial force F, is required to keep ML(1² – w² ) F, = the cars on the track at this speed? Express the answer in terms of M, L, W, u, and g. I|
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