Topic: Theory of Machines
A planar mechanism has 8 links and 10 rotary joints. Using Grubler's criterion, the number of degrees of freedom of the mechanism is
- A. 0
- B. 1
- C. 2
- D. 3
Answer: B. 1
Explanation: According to Grubler's criterion (or Kutzbach criterion with no higher pairs), the degrees of freedom (DOF) is given by $F = 3(n-1) - 2j$.
Given links $n = 8$ and joints $j = 10$.
$F = 3(8-1) - 2(10) = 3(7) - 20 = 21 - 20 = 1$.