5) A rail road bumper is designed as a spring in parallel with a viscous damper.What is the bumper's damping coefficient such that the system has a damping ratioof 1.25, when the bumper is engaged by a rail car of 20000 kg mass. The stiffness ofthe spring is 2E5 N/m. If the rail car engages the bumper, while traveling at a speedof 20m/s, what is the maximum deflection of the bumper?fooooE

Answered: Image /qna-images/answer/5f91f1f3-661b-442f-a038-7b50c611170f.jpg

5) A rail road bumper is designed as a spring What is the bumper's damping coefficient such of 1.25, when the bumper is engaged by a rail e the spring is 2E5 N/m. If the rail car engages the of 20m/s, what is the maximum deflection of the E

5) A rail road bumper is designed as a spring What is the bumper's damping coefficient such of 1.25, when the bumper is engaged by a rail e the spring is 2E5 N/m. If the rail car engages the of 20m/s, what is the maximum deflection of the E

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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PART OF MECHANICAL VIBRATIONS Derive the differential equation of motion of the inverted pendulum shownin Fig. P3.8. Let m = 0.5 kg, l = 0.5 m, a = 0.2 m, and k = 3000 N/m. Determine the damping coefficient c if: (a) the system is underdamped withξ = 0.09, (b) the system is critically damped; and (c) the system is over-damped with ξ = 1.2. In these three cases determine the angular displacementand velocity after 0.4 s if the system has zero initial velocity and initialdisplacement of 4◦ counterclockwise
Between a solid mass of 10 kg and floor, two slab of isolator, natural rubber and feltare kept in series as shown in Figure Q1(b). The natural rubber slab has a stiffnessof 3000 N/m and an equivalent viscous damping coefficient of 110 Ns/m. The feltslab has a stiffness of 12,200 N/m and an equivalent viscous damping coefficient of170 Ns/m. (i) Sketch the single degree of freedom spring-mass-damper system(ii) Determine the undamped and damped natural frequencies of the system inthe vertical direction. Neglect the mass of the isolator
A spring-mass-damper system oscillating about the horizontal surface is subjected to anexternal force of F = 300 sin (6)(t), where 300 is in Newtons and 6 is in radians per second. Thesystem has a mass 90 [kg], a damping coefficient of 78 [N ⋅ s/m] and a spring constant of300 [N⁄m]. The system is both given an initial displacement of 1.2 [m] and an initial velocity of 1.4[m⁄s].a. Using Method of Undetermined Coefficients, determine the particular solution for thedisplacement function.b. Determine the unknown coefficients for the homogeneous solution using the initialconditions (Note: the external force already works at t = 0).c. Determine the position, velocity, and acceleration of the system after 10 seconds.
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A vertical spring-mass system is submerged in oil. The spring has a stiffness coefficient of 3 N/m, and the mass is 1 kg. If the dampened angular frequency omega_d of oscillation is 0.866 Hz, find the damping coefficient b for the oil and how long it takes the spring to reach 50 percent of its original amplitude.
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