The relative damping factor of a race car is 0.5. Assume that the mass of the car (1200 kg) is evenly distributed over the wheels. The natural frequency of the body is 2.1 Hz. How long does it take for the amplitude of the oscillation to decay from the initial value to 26 tenths? Enter the answer in seconds to two decimal places.

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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.