A fender is mounted on a automobile though dampers (to absorb collision energy) andsprings (so that the fender can recover after low-speed collisions). During a crash-test, theautomobile is moving at 2 m/s when its fender strikes a concrete barrier. The vehiclemass, m, is 1,000 kg. (In comparison, the fender itself is essentially massless.) Thesprings that mount the fender have a stiffness, k, of 1,000,000 N/m.ymbarrier1) Write a differential equation for the deflection of the springs when the fender is incontact with the barrier.2) If the damping coefficient, c, is 30,000 N-s/m, what is the damping ratio of themass-spring-damper system when the fender is in contact with the barrier?3) For that damping coefficient, make a reasonably accurate sketch (with properlylabeled axes) of the time-course of the force exerted on the barrier, starting fromthe moment of first contact.4) Is there any value of the damping coefficient, c, that would yield no rebound ofthe vehicle from the barrier? If so, what is it? If not, why not?

Given Data Speed of the automobile is 2 m/s Mass of the vehicle is 1000 kg Stiffness of the spring…

ugn damp springs (so that the fender can recover after low-speed collisions). During a crash-test, the automobile is moving at 2 m/s when its fender strikes a concrete barrier. The vehicle mass, m, is 1,000 kg. (In comparison, the fender itself is essentially massless.) The springs that mount the fender have a stiffness, k, of 1,000,000 N/m. y m barrier 1) Write a differential equation for the deflection of the springs when the fender is in contact with the barrier.

ugn damp springs (so that the fender can recover after low-speed collisions). During a crash-test, the automobile is moving at 2 m/s when its fender strikes a concrete barrier. The vehicle mass, m, is 1,000 kg. (In comparison, the fender itself is essentially massless.) The springs that mount the fender have a stiffness, k, of 1,000,000 N/m. y m barrier 1) Write a differential equation for the deflection of the springs when the fender is in contact with the barrier.

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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