The car moves such that its speed uniformly increases with time from 50 kph at Position 0, to 80 kph at Position Q, during 10 seconds. The radius of curvature of the hump at Position O is 40 m. At Position P is the transition from the hump to the dip where it was reached at 4 seconds from Position 0. If the car maintains a constant magnitude of the total acceleration from the hump to the dip, Calculate (a) the magnitudes of the tangential and normal components of the car's acceleration at Position P, and (b) the radius of curvature at Position Q. Neglect the geometry of the car.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...
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The car moves such that its speed uniformly increases with time from 50 kph at
Position 0, to 80 kph at Position Q, during 10 seconds. The radius of curvature of the hump at
Position O is 40 m. At Position P is the transition from the hump to the dip where it was reached at 4
seconds from Position 0. If the car maintains a constant magnitude of the total acceleration from the
hump to the dip,
Calculate (a) the magnitudes of the tangential and normal components of the car's acceleration at
Position P, and (b) the radius of curvature at Position Q. Neglect the geometry of the car.
Po
Transcribed Image Text:The car moves such that its speed uniformly increases with time from 50 kph at Position 0, to 80 kph at Position Q, during 10 seconds. The radius of curvature of the hump at Position O is 40 m. At Position P is the transition from the hump to the dip where it was reached at 4 seconds from Position 0. If the car maintains a constant magnitude of the total acceleration from the hump to the dip, Calculate (a) the magnitudes of the tangential and normal components of the car's acceleration at Position P, and (b) the radius of curvature at Position Q. Neglect the geometry of the car. Po
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