Degree of freedom for the mechanism shown in the figure below is

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Solution

The correct option is B 1

No of links, n = 4

No of joints, $J_{1} = 3$ (all class l pairs)

$J_{2}$ = Number of higher pairs = 1

$F_{r}$ = Redundant degrees of freedom
Here, there is a redundant degree of freedom, i.e., the roller (3) can be rotated about the revolute pair without transferring motion to either link 2 or link 4.

$∴ F_{r} = 1$

Effective No. of degree of freedom

$= 3 (n - 1) - 2 J_{1} - J_{2} - F_{r}$

$= 3 (4 - 1) - 2 \times 3 - 1 - 1$

$= 1$

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