GATE ME 2016 Set 3 — Question 20
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Theory of Machines & Vibrations → Mechanisms & Linkages → Kinematic Pairs, Chains & DOF
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Question
The number of degrees of freedom in a planar mechanism having links and simple hinge joints is
Correct answer
(B) 3(n - 1) - 2j
Solution
The Kutzbach criterion for the number of degrees of freedom () of a planar mechanism is given by the formula:where:
- is the number of links.
- is the number of simple hinge joints (lower pairs with 1 degree of freedom).
- is the number of higher pairs (with 2 degrees of freedom).
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