CALCULATE NIE DOF OF EACH OF . D4 & Fouovi« SYSTn : (flexible) be it fins de ce

Question

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Explanation / Answer

To calculate the degree of freedom :

Degree of freedom (denoted by "F" ) of any mechanism depends upon the following criterion :-

According to Gruebler's Equation , DOF of any mechanism is given by :

F = 3(n-1) - 2l - h

Considering figure 1 :-

Total no. Of links (n) = 5

No. Of lower pairs (l) = 7

No. Of higher pairs ( h) = 0

F = 3(n-1)-2l-h = 3(5-1) - 2(7)-0

F = 3(4)-14 = 12-14

Degree of freedom (F) = -2

Considering figure 2 :-

n = 6

l = 8

h = 0

F = 3(6-1)-2(8)-0

F = 3(5)-16 = 15-16

Degree of freedom (F) = -1

Considering figure 3 :-

n = 5

l = 8

h = 0

F = 3(5-1)-2(8)-0

F = 3(4)-16 = 12-16

Degree of freedom (F) = -4

Considering figure 4 :-

n = 4

l = 5

h = 0

F = 3(4-1)-2(5)-0

F = 3(3)-10 = 9-10

Degree of freedom = -1

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