Question

Use the planar version of Grubler’s formula to determine the number of degrees of freedom of the mechanisms shown in Figure 2.19. Comment on whether your results agree with your intuition about the possible motions of these mechanisms.

1 / CO @ TITUTIILIT w w 10- Figure 2.19: A second collection of planar mechanisms.

Answer 1

Here, i derivid grubler equation from Kutzbach equation for planner mechanism. So no. Of higher pair in grubler criteria is zero. Hence degree of freedom is calculated based on grubler criteria.

-> We know that for planner Mechanism, + Kutzbach Cluterzia. for Degsee of Freedom F= 3(L-1)-25-H where L= No. of links J= No of joints H = Higher pair → If we put h=o, it becomes, Grubler formula - F = 3 (1-1)-25 . Let us discuss every Mechanisms, (a) Here L=9 6 L=5 I=7 J-4 F-319-1) - 217) - 12- [10] [E = 4 F=3(5-10-2(4) = 24-14 ③ L=14 L=11 3=8 J-10 F= 3(11-1)-2x8 F-3614-1)-2x10 = 39-20 JF = 19 = 30 -16 IF = 14 |

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