Under some circumstances when two parallel springs, with constants k1 and k2, support a single mass, the effective spring constant of the system is given by k = k1 + k2. A mass weighing 20 pounds stretches one spring 8 inches and another spring 6 inches. The springs are attached to a common rigid support and then to a metal plate. As shown in the figure, the mass is attached to the center of the plate in the double-spring arrangement. Determine the effective spring constant of this system. k = _____ lb/ft Find the equation of motion x(t) if the mass is initially released from the equilibrium position with a downward velocity of 6 ft/s. (Use g = 32 ft/s2 for the acceleration due to gravity.) x(t) = ______ft

Under some circumstances when two parallel springs, with constants k1 and k2, support a single mass, the effective spring constant of the system is given by k = k1 + k2. A mass weighing 20 pounds stretches one spring 8 inches and another spring 6 inches. The springs are attached to a common rigid support and then to a metal plate. As shown in the figure, the mass is attached to the center of the plate in the double-spring arrangement. Determine the effective spring constant of this system. k = _ lb/ft Find the equation of motion x(t) if the mass is initially released from the equilibrium position with a downward velocity of 6 ft/s. (Use g = 32 ft/s2 for the acceleration due to gravity.) x(t) = __ft

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