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Figure P17 shows a mass-spring model of the type used to design packaging systems and vehicle suspensions, for example. The springs exert a force that

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Figure P17 shows a mass-spring model of the type used to design packaging systems and vehicle suspensions, for example. The springs exert a force that is proportional to their compression, and the proportionality constant is the spring constant k. The two side springs provide additional resistance if the weight W is too heavy for the center spring. When the weight W is gently placed, it moves through a distance x before coming to rest. From statics, the weight force must balance the spring forces at this new position. Thus W = k_1 x if x

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