## Degree of freedom of system and explain it with the helping of some examples

Degree of Freedom: A system is said to be n-degrees of freedom system if it needs n independent coordinates to specify compectely the configuration of the system at any instant. A mass supported by a spring and constrained to move in one direction without rotation is a single degree of freedom system. The same is true for a simple pendulum oscillating in one plane. A

crank-slider mechanism is also a single degree freedom system since only the crank angle is sufficient to define the system completely. These vibratory systems are illustrated in Fig. (a).

On the other hand a spring-supported rigid mass which can move in the direction of spring and can also have angular motion in one plane has two degrees of freedom. A two-mass, two

spring system constrain direction without rotation has also two degrees of freedom [see Fig. (b)] A body in space has six degrees of freedom, three transitional and three rotational. A flexible

beam between two supports has a infinite number of degrees of freedom. These system are shown in fig.