14. A car travels at constant speed around a circular curve. If the car is to avoid sliding outward, the horizontal frictional force F exerted by the road on the tires must at least balance the centrifugal force pulling outward. A 3600-pound automobile is negotiating a circular interchange of radius 300 feet at 30 miles per hour. 3. b. Assuming the roadway is level, find the magnitude of the force between the tires and the road such that the car stays on the circular path and does not skid. (Hint: the car's weight W-mg; use g -32 ft/sec².) Find the angle the roadway should be banked so that no lateral frictional force is exerted on the tires of the automobile. my² F mg

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14.
A car travels at constant speed around a circular curve. If the car is to avoid sliding
outward, the horizontal frictional force F exerted by the road on the tires must at least
balance the centrifugal force pulling outward. A 3600-pound automobile is negotiating a
circular interchange of radius 300 feet at 30 miles per hour.
a.
b.
Assuming the roadway is level, find the magnitude of the force between the tires
and the road such that the car stays on the circular path and does not skid. (Hint:
the car's weight Wmg; use g - 32 ft/sec².)
Find the angle the roadway should be banked so that no lateral frictional force is
exerted on the tires of the automobile.
my²
F
ma
Transcribed Image Text:14. A car travels at constant speed around a circular curve. If the car is to avoid sliding outward, the horizontal frictional force F exerted by the road on the tires must at least balance the centrifugal force pulling outward. A 3600-pound automobile is negotiating a circular interchange of radius 300 feet at 30 miles per hour. a. b. Assuming the roadway is level, find the magnitude of the force between the tires and the road such that the car stays on the circular path and does not skid. (Hint: the car's weight Wmg; use g - 32 ft/sec².) Find the angle the roadway should be banked so that no lateral frictional force is exerted on the tires of the automobile. my² F ma
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