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Question

How many degrees of freedom exist in a free body in space?

A.

3

B.

4

C.

5

D.

6

Answer ( Option D)

6

Solution

Degrees of freedom (mobility of linkage) :

●The number of independent variables required to define motion or position of the system is known as degree of freedom of the system.


●A free body in space will have 6 degrees of freedom (3-translation and 3-rotation)

 DOF = 6 - (arrested), the motion which is not possible is known as restraints.

Hence, the correct option is (D).

&Key Points:-

●Lower pair = 1 DOF, Higher pair = 2 DOF, Spherical pair = 3 DOF.

●Number of restraints can never be zero (joint is disconnected) or six (joint becomes solid).

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