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The number of degrees of freedom of a planar linkage with 8 links and 9 simple revolute joints is-
1. 1
2. 2
3. 3
4. 4

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Correct Answer - Option 3 : 3

Concept:

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

n = number of links

h = number of higher pairs

Calculation:

Given, n = 8, j = 9, h = 0

F = 3 (8 - 1) - 2 × 9 - 0

F = 21 - 18 = 3

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