Free and Forced Vibrations A free vibration is a type of vibration in which an object can move freely without any constraints. This means that the object...
A free vibration is a type of vibration in which an object can move freely without any constraints. This means that the object can move in any direction or at any angle, and it does not have any restrictions on its movement.
Examples of free vibrations include:
A vibrating string
A vibrating air column
A vibrating membrane
A forced vibration is a type of vibration in which an object is subjected to a force that causes it to move. This means that the object is not free to move in any direction or angle, and it is limited by the constraints of the force.
Examples of forced vibrations include:
A string tied to a wall
A drum that is struck
A tuning fork
The frequency of a vibration is the number of times it completes in one period of the motion. The period of a vibration is the time it takes for one complete cycle of the motion. The frequency and the period of a vibration are related by the following equation:
Frequency (f) = 1/Period (T)
Free vibrations are characterized by their natural frequency, which is the frequency of the vibration when the object is not subjected to any forces. Forced vibrations can have different frequencies, depending on the external forces applied to the object