Problem 30889.

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The period of damped oscillations of a material point is 4 s. Logarithmic damping decrement 1.6. At the initial moment of time, the displacement from the equilibrium position is maximum and equal to 5 cm. Write the equation of oscillations. How long does it take for the oscillation amplitude to decrease by 20 percent of its original value?

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Detailed solution with a brief record of the conditions, formulas and laws used in the solution, derivation of the calculation formula and answer.
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