The movable rack \(A\) has a mass of \(3 \mathrm{~kg}\), and rack \(B\) is fixed. The gear has a mass of \(2 \mathrm{~kg}\) and a radius of gyration of \(60 \mathrm{~mm}\). In the position shown, the spring, which has a stiffness of \(1.2 \mathrm{kN} / \mathrm{m}\), is stretched a distance of \(40 \mathrm{~mm}\). For the instant represented, determine the acceleration \(a\) of rack \(A\) under the action of the 80-N force. The plane of the figure is vertical.

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80 N 80 mm www A SUB