brought to rest by suctessively crushing steel barrels. The length of the crash ushion is 5.0 m, and the magnitude Fof the force required to crush the barrels as a unction of the distance z the car has moved into the cushion is given by 85KN (0 <2S 1.7m) 130KN (1.7

brought to rest by suctessively crushing steel barrels. The length of the crash ushion is 5.0 m, and the magnitude Fof the force required to crush the barrels as a unction of the distance z the car has moved into the cushion is given by 85KN (0 <2S 1.7m) 130KN (1.7

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

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.

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