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

Degree of freedom of system

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).

Degree of freedom
two degree of freedom

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.

infinite number of degrees of freedom

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