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

Correct answer: 1

Solution

Using Gruebler's criterion, the degrees of freedom (DOF) for a planar mechanism can be calculated with the formula DOF = 3(N - 1) - 2J, where N is the number of links and J is the number of joints. In this case, substituting N = 8 and J = 10 gives DOF = 3(8 - 1) - 2(10) = 21 - 20 = 1, indicating that the mechanism has 1 degree of freedom.

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