Consider a car moving on a circular track of radius R with constant velocity v. The...
Consider a car moving on a circular track of radius R with constant velocity v. The track is inclined at an angle β with respect to the ground, such that the interior of the track is lower than the exterior and the tangent of β is greater than the coefficient of static friction of the track µ. (Answer questions in terms of g, R, β and µ.)
(1) Draw a free body diagram of the car for v 6= 0. Draw a free body diagram of the car when v = 0.
(2) Solve for the normal force exerted on the car by the track.
(3) If the car is off and parked, v = 0, will it slip down the track? Prove your answer.
(4) How large does v have to be to prevent the car from slipping down the track?
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Consider a car moving on a circular track of radius R with
constant velocity v. The...
Q15 A car is moving on a circular track at constant speed v 40 MPH. The...
Q15 A car is moving on a circular track at constant speed v 40 MPH. The radius of the track is R 30 m. when the car has traveled a distance of πR, its acceleration is a) Pointing towards the center of the circle and equal to 10.7 m/s2 b) Pointing along the circle and equal to 10.7 m/s c) 0 d) None of the above.
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A section of a high speed test track is circular with a radius of curvature R...
A section of a high speed test track is circular with a radius
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A section of a high speed test track is circular with a radius
of curvature R = 1700 m.
At what angle of θ should the track be inclined so that a car
traveling at 77.0 m/s (172 mph) would keep moving in a circle if
there is oil on that section of the track, i.e., it would not slip
sideways even with zero friction on that section. (Hint: The car's
vertical acceleration is zero.)
2. A toy car with a mass of 35g (0.035kg) is moving clockwise around a loop-the-loop (a track in the shape of a circle that causes the toy car to travel along a circular trajectory) with a radius of R- 13cm (0.13m) as depicted in the diagram below. At the point shown (the - on the diagram below) its instantaneous speed (the magnitude of its velocity) is 1.5m/s and its speed is increasing at a rate of 7.1m/s2. (a) (4...
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