The input to the valve of an internal combustion engine is a force of F = 15000 N applied over a period of 0.001 s by a cam as shown in Fig. 4.59 (see Fig. 1.39 for the arrangement of the valve). The valve has a mass of 15 kg, stiffness of 10,000 N/m, and damping constant of 20 N-s/m. The cam applies the force F once every 0.5 s.
(a) Find the displacement response of the valve from its rest position when the cam applies the force F for the first time.
(b) Determine the displacement of the valve from its rest position when the cam applies the force F for the second time.
