An uncontrolled 850 kg car strikes squarely a motorway crash cushion in which the caris brought to rest by suctessively crushing steel barrels. The length of the crashcushion is 5.9 m, and the magnitude Fof the force required to crush the barrels as afunction of the distance r the car has moved into the cushion is given by85KN (0 <2S 1.7m)130kN (1.7 < r < 4.4m)170kN (4.4 sI5 5.9m)a)Decermine an expression for the work done by the force F as a function of r.b)If the car strikes the crash cushion with a velocity of 138 km/h, determine thedistance the car will move into the cushion before it comes to rest and themaximum deceleration of the car. Determine the maximum velocity with which the car can strike the cushion so that itwill not hit the wall behind the cushion.

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An uricontrolled 850 kg carstrikes squarely a motorway crash cushion in which the car is brought to rest by successively crushing steel barrels. The length of the crash cushion is 5.9 m, and the magnitude F of the force required ta crush the barrels as a function of the distance r the car has moved into the cushion is given by 85KN (0

An uricontrolled 850 kg carstrikes squarely a motorway crash cushion in which the car is brought to rest by successively crushing steel barrels. The length of the crash cushion is 5.9 m, and the magnitude F of the force required ta crush the barrels as a function of the distance r the car has moved into the cushion is given by 85KN (0

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

An uncontrolled 850 kg car strikes squarely a motorway crash cushion in which the car
is brought to rest by suctessively crushing steel barrels. The length of the crash
cushion is 5.9 m, and the magnitude Fof the force required to crush the barrels as a
function of the distance r the car has moved into the cushion is given by
85KN (0 <2S 1.7m)
130kN (1.7 < r < 4.4m)
170kN (4.4 sI5 5.9m)
a)
Decermine an expression for the work done by the force F as a function of r.
b)
If the car strikes the crash cushion with a velocity of 138 km/h, determine the
distance the car will move into the cushion before it comes to rest and the
maximum deceleration of the car.

Determine the maximum velocity with which the car can strike the cushion so that it
will not hit the wall behind the cushion.

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