Distinguish between the free (or natural) and forced vibrations.

Hint: Here we will proceed by defining the free and forced vibrations, the by differentiating with respect to their properties we will get our answer.

Step By Step Answer:
Free vibrations: Vibrations that occur in the absence of friction and external forces after initial release of the body.

Forced vibrations: When repeated force continuously acts on the system the vibrations are said to be forced vibrations.



Note: Whenever we come up with this type of question, one must know that vibration is a periodic motion of the particles of an elastic body or medium in alternately opposite directions from the position of equilibrium when that equilibrium has been disturbed. By using the basics of vibration we can differentiate different types of vibrations.