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Critical damping is the
1. Largest amount of damping for which no oscillation occurs in free vibration
2. Smallest amount of damping for which no oscillation occurs in free vibration
3. Largest amount of damping for which the motion is simple harmonic in free vibration
4. Smallest amount of damping for which the motion is simple harmonic in free vibration

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Correct Answer - Option 2 : Smallest amount of damping for which no oscillation occurs in free vibration

Concept:

Critically damped system never executes a cycle, it approaches equilibrium with exponentially decaying displacement, because the system returns to equilibrium in fastest time without any oscillations and in critically damped free vibrations, the damping force is just sufficient to dissipate the energy within one cycle of motion. The value of Damping Factor (\(\xi \)) is 1.

Eg. AK 47 gun

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