Задача 40053.

The oscillatory system considered in the previous problem oscillates in a viscous medium - simultaneously with the elastic force, it is affected by the resistance force of the medium, the value of which is directly proportional to the velocity of the body. The proportionality coefficient r = 0.01 N * s / m. Write the differential equation of damped oscillations - first in general form, and then by substituting specific numerical values. Write the solution to this differential equation and plot its graph. Find the damping decrement logarithmically.

Detailed solution with a brief entry of the condition, formulas and laws used in the solution, derivation of the calculation formula and the answer. If you have any questions about the solution, write. I will try to help.