Question

What is damped harmonic motion, discuss
the dempd harmonic oscillitor equation,
when force acting on the mass takes the
the form f/xx1 =-Kx-mxx
where myok joanduso?​

Answer 1

Explanation:

We know that when we swing a pendulum, it will eventually come to rest due to air pressure and friction at the support. This motion is damped simple harmonic motion. Let’s understand what it is and how it is different from linear simple harmonic motion.When the motion of an oscillator reduces due to an external force, the oscillator and its motion are damped. These periodic motions of gradually decreasing amplitude are damped simple harmonic motion. An example of a damped simple harmonic motion is a simple pendulum.

In the damped simple harmonic motion, the energy of the oscillator dissipates continuously. But for a small damping, the oscillations remain approximately periodic. The forces which dissipate the energy are generally frictional forces.