A17.6-kg object oscillates at the end of a horizontal spring that has a spring constant of 20.0 kn/m. the effect of air resistance is represented by the damping coefficient b = 6.69 kg/s. find the time for the amplitude of the oscillation to drop to 5.98% of its original value.

The time for the amplitude of the oscillation is 14.82 sec.

Explanation:

Given that,

Mass of object = 17.6 kg

Spring constant k= 20.0 kN/m

Damping coefficient b= 6.69 kg/s

Amplitude A= 5.98%

We need to calculate the time for the amplitude of the oscillation

Amplitude at any time is given as

Put the value into the formula

Hence, The time for the amplitude of the oscillation is 14.82 sec.

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