< Question 14 of 15 O Attempt 3 ▼ An engineer wants to design a circular racetrack of radius r E Feedback such that cars of mass M can go around the track at speed v Draw a free-body diagram of the without the aid of friction or other forces other than the race car. perpendicular contact force from the track surface. Sum the forces in each direction, vertical (y) and radial or horizontal (x). The only forces acting on the race car at this point are the normal force and the gravitational force. >(F:) = maz >(F) = may Find an expression for the required banking angle 0 of the You will also need to write down an track, measured from the horizontal. Express the answer in expression for each component of the acceleration vector, az and ay. tan- terms of M, r, v, and g. For the second part, sum the forces Suppose the race cars actually round the track at a speed w > v. What additional radial force F, is required to keep F, = with the added (unknown) radial the cars on the track at this speed? Express the answer in force included. The radial terms of M, r, v, w, and g. acceleration in this part will also be different since the speed of the car has changed.

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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< Question 14 of 15
O Attempt 3 ▼
An engineer wants to design a circular racetrack of radius r
E Feedback
such that cars of mass M can go around the track at speed v
Draw a free-body diagram of the
without the aid of friction or other forces other than the
race car.
perpendicular contact force from the track surface.
Sum the forces in each direction,
vertical (y) and radial or horizontal
(x). The only forces acting on the
race car at this point are the normal
force and the gravitational force.
>(F:) = maz
>(F) = may
Find an expression for the required banking angle 0 of the
You will also need to write down an
track, measured from the horizontal. Express the answer in
expression for each component of the
acceleration vector, az and ay.
tan-
terms of M, r, v, and g.
For the second part, sum the forces
Suppose the race cars actually round the track at a speed
w > v. What additional radial force F, is required to keep
F, =
with the added (unknown) radial
the cars on the track at this speed? Express the answer in
force included. The radial
terms of M, r, v, w, and g.
acceleration in this part will also be
different since the speed of the car
has changed.
Transcribed Image Text:< Question 14 of 15 O Attempt 3 ▼ An engineer wants to design a circular racetrack of radius r E Feedback such that cars of mass M can go around the track at speed v Draw a free-body diagram of the without the aid of friction or other forces other than the race car. perpendicular contact force from the track surface. Sum the forces in each direction, vertical (y) and radial or horizontal (x). The only forces acting on the race car at this point are the normal force and the gravitational force. >(F:) = maz >(F) = may Find an expression for the required banking angle 0 of the You will also need to write down an track, measured from the horizontal. Express the answer in expression for each component of the acceleration vector, az and ay. tan- terms of M, r, v, and g. For the second part, sum the forces Suppose the race cars actually round the track at a speed w > v. What additional radial force F, is required to keep F, = with the added (unknown) radial the cars on the track at this speed? Express the answer in force included. The radial terms of M, r, v, w, and g. acceleration in this part will also be different since the speed of the car has changed.
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