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A rail road bumper is designed as a spring in parallel with viscious damper. What is the bumper's damping (c) co-efficient such that system has a damping ratio 1:25 when engaged by a 20 tonnes
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rail road car and has a stiffness $2 \times 10^5$N/m.

If the rail road car is travelling at a speed of 72Kmph when engages the bumper, what is the maximum deflection of bumper.

$\rightarrow$ $\xi = \frac{c}{c_c} = \frac{c}{2mwn} = \frac{c}{2 \times 20 \times 10^3 \times \sqrt{ \frac{2 \times 10^5}{20 …

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