A railroad bumper is designed as a spring in parallel with a viscous damper. What isthe bumper's damping coefficient such that the system has a damping ratio of 1.25when the bumper is engaged by a 20,000-kg railroad car and has a stiffness of 2 x10^3 N/m?In a moment the railroad car travels on a speed of 20 m/s when it engages thebumper. What is the maximum deflection of the bumper?Another empty railroad car has a mass of only 4500 kg. What are the naturalfrequency and a damping ratio of a system with the when engaged by an emptyrailroad car?

Answered: Image /qna-images/answer/49ddaf33-1b72-49f4-8cdd-d48df2ab6cf2.jpg

Answered: A railroad bumper is designed as a…

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

See similar textbooks

Similar questions

The car has a mass of 1290 kg and a body frequency of 1.8 Hz. Using a quarter-car model, determine the damping factor for a single shock absorber so that the relative damping factor for the suspension is 0.65? Give the answer in kg / s rounded to the nearest whole number.
A steel ring was shrunk into the outside of a hollow steel disc. The interference radius of the assembly is 40 mm whilst its outer and inner radii are 250 mm and 20 mm, respectively. If the angular speed at which the ring-disc assembly becomes loose is 401.8 rad/sec, determine the shrink-fit pressure at the mating surface of the assembly? Assume that Poisson's ratio for steel is 0.3 and its density is 7860 kg/m³.
A box that contains of a 250 kg fragile instrument is transported by a truck that is subjected to a vertical harmonic motion given by y(t) = 0.02 sin 3t. Assume that the instrument only moves in vertical translation and is supported by four springs with stiffness, k= 250 × 4 N/m as simplified in Figure Q3. Q3 (а) Determine the maximum displacement, velocity and acceleration experienced by the instrument. (b) Evaluate the percentage of vibration transmitted from the truck bed to the instrument and justify the outcome. Analyze the best possible solution to allow only 80% of vibration transmitted to the instrument. Please support your answer with calculation and draw a mass spring system for this solution. (c)
A 225kN test aircraft moving with velocity v = Xo = 25 km/h collides with a rigid barrier at t = 0. As a result of the behaviour of its energy absorbing capabilities, the response of the aircraft to the collision can be simulated by the damped spring- mass oscillator shown with k = 3MN/m and c = 840 kN. s/m. Assume that the mass is moving to the left with a velocity vo = xo = 25 km/h and the spring is unstretched at t = 0 determine the aircraft's deceleration: a) Immediately after it contacts the barrier; b) att = 0.04s and; c) at t= 0.08s. Vo = ******** xo ****** Vo = xo www m Figure Q5 - Aircraft Collision F(t)
k 0.5m- 1m The moveable mass is removed, the spring stiffness increased to k= 500 N/m and a viscous damper is added to the system. The new system is show in the figure above. The mass of the slender rod remains 6 kg. For what value of the damping coefficient C will the system be critically damped? (round your answer to the nearest whole number) A Ns/m
If the vertical gap 2.2-cm wide of infinite extent contains a fluid with specific gravity of 0.9. A metallic plate 1.2m x 1.2m x 0.2cm is to be lifted up with a constant velocity of 0.65 - m/sec, through the gap. If the plate is in the middle of the gap and the total force to lift the plate up is 150-N, what is the damping coefficient of the system.
4.3. In a single degree of freedom undamped spring-mass system, the mass m = 3 kg, and the stiffness coefficient k = 2 x 103 N/m. The system is subjected to a harmonic forcing function which has an amplitude 60 N and frequency 30 rad/s. The initial conditions are such that xn = 0.0m and io = 1 m/s. Determine the displacement, velocity, and acceleration of the mass after t = 1 s.
Mechanical Vibration Problem
Hi, Please answer this problem, Thank you very much
answer quickly
A damped spring – mass system has a mass of 2 kg, a spring of stiffness 98 N/m and a dashpot with a viscous damping coefficient of 42 Ns/m. If the mass is disturbed by 70 mm and then released from rest, determine the displacement of the mass after 0·12 seconds
A spring has a spring constant of k=18N/m, hung with a weight of mass m=½ kg. If the load is in an equilibrium position, then it is pulled and released with a speed of 3 m/s, then determine the equation of motion of the object if it does not experience friction or damping.

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS