A machine tool with a mass of \(30 \mathrm{~kg}\) is mounted on an undamped foundation of stiffness \(1500 \mathrm{~N} / \mathrm{m}\). During operation, it is subject to one of the machining force shown in Figure P5.15. Use the principle of superposition and the convolution integral to determine the response of the system to each force.

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F(N) 1000 0.1 0.3 0.4 0.5 0.6 0.7 t(s) FIGURE P5.15