# Consider the following statements: 1. A kinematic chain is the combination of kinematic pairs joined in such a way that the relative motion between th

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Consider the following statements:

1. A kinematic chain is the combination of kinematic pairs joined in such a way that the relative motion between them is completely constrained.

2. The degree of freedom of a kinematic pair is given by the number of independent coordinates required to completely specify the relative movement.

Which of the above statements is/are correct?
1. 1 only
2. 2 only
3. Both 1 and 2
4. Neither 1 nor 2

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Correct Answer - Option 3 : Both 1 and 2

Kinematic Pair: If two links are connected anyway then they form a pair, but this pair will also be kinematic pair if the relative motion between the links is constrained to motion.

Kinematic Chain: If the links are connected in such a way that the first link is connected to the last link in order to get the closed chain and if all the relative motions in this closed chain are constrained then it is known as a kinematic chain.

Degree of Freedom: The degree of freedom (DOF) of a mechanical system is the number of independent variables required to define the position or motion of the system.

For a simple mechanism, the degree of freedom (F) is given by the Grubler’s criterion:

F = 3 (n - 1) - 2j - h

Where j = number of revolute joints

h = number of higher pairs