Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 5, Problem 24P
To determine
To describe:The angle at which a curve of radius should be banked is to be calculated.
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13–67. The vehicle is designed to combine the feel of a
motorcycle with the comfort and safety of an automobile. If
the vehicle is traveling at a constant speed of 80 km/h along
a circular curved road of radius 100 m, determine the tilt
angle 0 of the vehicle so that only a normal force from the
seat acts on the driver. Neglect the size of the driver.
(III) A curve of radius 78 m is banked for a design speed of 85 km/h If the coefficient of static friction is 0.30 (wet pavement), at what range of speeds can a car safely make the curve? [Hint: Consider the direction of the friction force when the car goes too slow or too fast.]
13–107. The forked rod is used to move the smooth 2-lb
particle around the horizontal path in the shape of a
limaçon, r = (2 + cos 0) ft. If 0 = (0.5) rad, where t is in
seconds, determine the force which the rod exerts on the
particle at the instant t = 1 s. The fork and path contact the
particle on only one side.
2 ft
-3 ft
Chapter 5 Solutions
Physics Fundamentals
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- A circular curve of highway is designed for traffic moving at 60 km/h. Assume the traffic consists of cars without negative lift. (a) If the radius of the curve is 150 m, what is the correct angle of banking of the road? (b) If the curve were not banked, what would be the minimum coefficient of friction between tires and road that would keep traffic from skidding out of the turn when traveling at 60 km/h?arrow_forward*13–112. The pilot of an airplane executes a vertical loop which in part follows the path of a “four-leaved rose," r = (-600cos 20) ft, where 0 is in radians. If his speed is a constant vp = 80 ft/s, determine the vertical reaction the seat of the plane exerts on the pilot when the plane is at A. He weights 130 lb. Hint: To determine the time derivatives necessary to compute the acceleration components a, and a, take the first and second time derivatives of r = 400(1 + cos0). Then, for further information, use Eq. 12–26 to determine ô. Also, take the time derivative of Eq. 12–26, noting that vp = 0 to determine ở. 80 ft/s r=-600 cos 20arrow_forwardFor a car traveling with speed 20 m/s around a curve of radius 10 m, determine the approximate angle at which a road should be banked so that no friction is required.arrow_forward
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