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 terms of M, L, W, and g. Suppose the race cars actually round the track at a speed u > W. What additional radial force F, is required to keep F, = the cars on the track at this speed? Express the answer in terms of M, L, W, u, and g. ||

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Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
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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
terms of M, L, W, and g.
Suppose the race cars actually round the track at a speed
u > W. What additional radial force F, is required to keep
F, =
the cars on the track at this speed? Express the answer in
terms of M, L, W, u, and g.
||
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 terms of M, L, W, and g. Suppose the race cars actually round the track at a speed u > W. What additional radial force F, is required to keep F, = the cars on the track at this speed? Express the answer in terms of M, L, W, u, and g. ||
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