Under some circumstances when two parallel springs, with constants k1 and kz, support a

Chapter 3, Problem 13

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Under some circumstances when two parallel springs, with constants k1 and kz, support a single mass, the effective spring constant of the system is given by k = 4ki'/c/(k1 + k;). A mass weighing 20 pounds stretches one spring 6 inches and another spring 2 inches. The springs are attached to a common rigid support and then to a metal plate. As sh.own in AGURE 3.8.16, the rangement mass is attached Determine the to the center of the plate in the double-spring areffective spring constantofthis system Find the equation of motion if the mass is initially released from the equilibrium position with a downward velocity of 2 ft/s. FIGURE 3.8.16 Double-spring system in 13

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