The number of degrees of freedom for the below arrangement given is
F2 Vinanti Engineering 12.07.23 D13

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Concept:

Gruebler's equation: This equation is used to find out the degree of freedom of a planner mechanism.

F = 3(n - 1) - 2j - h - Fr

n = Number of links, j = Number of revolute pair or binary joint, h = Number of higher pairs ,Fr = Number of redundant links
 

F1 ENG Savita 29-5-24 D1

Calculation:

Given:

Sometimes, a system may have one or more links which do not introduce any extra constraint. Such links are known as redundant links and should not be counted to find the degree of freedom. For given the mechanism of has 5 links, but the function of the mechanism is not affected even if any one of the links 2 or 3 are removed. Thus, the effective number of links in this case is 4 with 4 turning pairs, and

Number of links, L= 4 links, Number of joints, j = 4 revolute joints (represented by the circles except one which is on the top), Number of higher pairs, h = 0  and Fr =1

F = 3(4 - 1) - 2(4) - 1 = 0

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