A mass weighing 40 N stretches a spring 0.1 m. The spring– the mass system resides in a medium with a damping constant of 32 N-s m. If the mass is released from its equilibrium position with a velocity of 0.1 m/ s in the downward direction, find the time required for the mass to return to its equilibrium position for the first time

Q: image473

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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.