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Question : A tank car is stopped by two spring bumpers A and B, having ...

A tank car is stopped by two spring bumpers A and B, having stiffness { k }_{ A } and { k }_{ B } respectively. Bumper A is attached to the car, whereas bumper B is attached to the wall. If the car has a weight W and is freely coasting at speed { v }_{ c } determine the maximum deflection of each spring at the instant the bumpers stop the car.Given: { k }_{ A } = 15 × { 10 }^{ 3 } lb/ft , { k }_{ B } = 20 × { 10 }^{ 3 } lb/ft , W = 25 × { 10 }^{ 3 } lb , { v }_{ c } = 3 ft/s

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