A roller cam is used to impart a periodic motion to the base of the spring-mass system shown in Fig. 4.41. If the coefficient of friction between the mass and the surface is \(\mu\), find the response of the system using the principle of superposition. Discuss the validity of the result.

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2T T Y -y(t) y(t) x(t) elle m FIGURE 4.41 Input of spring mass system through roller cam.