Question

The frequency of an under-damped harmonic oscillator is adjusted to
be equal to the hall of the frequency experienced by the Oscillator without
damping. Calculate the logarithmic decrement of the system.​

Answer 1

Answer:

To describe a damped harmonic oscillator, add a velocity dependent term, bx, where b is the vicious damping coefficient.

Solve the differential equation for the equation of motion, x(t).

Depending on the values of the damping coefficient and undamped angular frequency, the results will be one of three cases: an under damped system, an over damped system, or a critically damped system.