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A planer mechanism has 8 links and 10 rotary joints. The number of degrees of freedom of the mechanism, using Grubler’s criterion is

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Correct Answer - Option 2 : 1

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 Gruebler’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 = 10, h = 0

F = 3 (8 - 1) - 2 × 10 - 0

F = 21 - 20 = 1

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