Between a solid mass of 10 kg and floor, two slab of isolator, natural rubber and felt are kept in series as shown in Figure Q1(b). The natural rubber slab has a stiffness of 3000 N/m and an equivalent viscous damping coefficient of 110 Ns/m. The felt slab has a stiffness of 12,200 N/m and an equivalent viscous damping coefficient of 170 Ns/m. (i) Sketch the single degree of freedom spring-mass-damper system

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Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.