A railroad 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 ratio of 1.25 when the bumper is engaged by a 20,000-kg railroad car and has a stiffness of 2 x 10^3 N/m? In a moment the railroad car travels on a speed of 20 m/s when it engages the bumper. What is the maximum deflection of the bumper? Another empty railroad car has a mass of only 4500 kg. What are the natural frequency and a damping ratio of a system with the when engaged by an empty railroad car?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A railroad 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 ratio of 1.25
when the bumper is engaged by a 20,000-kg railroad car and has a stiffness of 2 x
10^3 N/m?
In a moment the railroad car travels on a speed of 20 m/s when it engages the
bumper. What is the maximum deflection of the bumper?
Another empty railroad car has a mass of only 4500 kg. What are the natural
frequency and a damping ratio of a system with the when engaged by an empty
railroad car?
Transcribed Image Text:A railroad 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 ratio of 1.25 when the bumper is engaged by a 20,000-kg railroad car and has a stiffness of 2 x 10^3 N/m? In a moment the railroad car travels on a speed of 20 m/s when it engages the bumper. What is the maximum deflection of the bumper? Another empty railroad car has a mass of only 4500 kg. What are the natural frequency and a damping ratio of a system with the when engaged by an empty railroad car?
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