Consider a forced vibration of SDOF system with the equation of motion given as shown. If m = 20 kg, c = 40 N-s/m and k = 40 N/m, calculate the motion of the mass if the initial displacement is 50 cm with zero initial velocity. d'u du +c+ku 100sint-40e dt dr k- P(t)

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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.