A bumping post at the end of a track in a railway yard has a spring constant

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A bumping post at the end of a track in a railway yard has a spring constant k = 8.0 MN/m (see figure). The maximum possible displacement d of the end of the striking plate is 450 mm.
What is the maximum velocity vmax that a railway car of weight W = 545 kN can have without damaging the bumping post when it strikes it?
f-d
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Mechanics of Materials

ISBN: 978-0495438076

7th edition

Authors: James M. Gere, Barry J. Goodno

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