Problem 40106.
The oscillatory system considered in the previous problem oscillates in a viscous medium - simultaneously with the elastic force, it is acted upon by the resistance force of the medium, the magnitude of which is directly proportional to the speed of the body. Proportionality coefficient r=0.01 N*s/m. Write down the differential equation of damped oscillations - first in general form, and then substituting specific numerical values. Write down the solution to this differential equation and plot it. Find the damping decrement logarithmically.
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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