A roadway speed bump is being installed on a level road to remind motorists of the existing speed limit. If the driver of the car experiences at G a vertical acceleration of as much as g, up or down, he is ex- pected to realize that his speed is bordering on being excessive. For the speed bump with the cosine contour shown, derive an expression for the height h of the bump which will produce a vertical compo- nent of acceleration at G of g at a car speed v. Com- pute h if b 1 m and v 20 km/h. Neglect the effects of suspension-spring flexing and finite wheel diameter. + cOs 풍)

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.47P: A rifle at A is fired at a target at B. If the speed of the bullet is 1400 ft/s, determine the...
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A roadway speed bump is being installed on a level
road to remind motorists of the existing speed limit.
If the driver of the car experiences at G a vertical
acceleration of as much as g, up or down, he is ex-
pected to realize that his speed is bordering on
being excessive. For the speed bump with the cosine
contour shown, derive an expression for the height
h of the bump which will produce a vertical compo-
nent of acceleration at G of g at a car speed v. Com-
pute h if b = 1 m and u 20 km/h. Neglect the
effects of suspension-spring flexing and finite wheel
diameter.
y =
(1 + cos
L+L
Transcribed Image Text:A roadway speed bump is being installed on a level road to remind motorists of the existing speed limit. If the driver of the car experiences at G a vertical acceleration of as much as g, up or down, he is ex- pected to realize that his speed is bordering on being excessive. For the speed bump with the cosine contour shown, derive an expression for the height h of the bump which will produce a vertical compo- nent of acceleration at G of g at a car speed v. Com- pute h if b = 1 m and u 20 km/h. Neglect the effects of suspension-spring flexing and finite wheel diameter. y = (1 + cos L+L
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