For each of the following problems, (a) determine whether the links can actually form a mecha- nism with the dimensions given; (b) if a mechanism exists, identify the motion relationship (crank rocker, drag link, double rocker, triple rocker, or change point); (c) show the limiting positions if the mechanism is a crank-rocker, double-rocker, or triple-rocker mechanism: 1.15 L 1.5, L₁= 4, L₂ = 2, L3= 3.5. =

Elements Of Electromagnetics
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Problem 1.15, Please write it on paper.

Problems 1.12 through 1.22 Refer to Figure 1.12a.
For each of the following problems, (a) determine whether the links can actually form a mecha-
nism with the dimensions given; (b) if a mechanism exists, identify the motion relationship (crank
rocker, drag link, double rocker, triple rocker, or change point); (c) show the limiting positions if
the mechanism is a crank-rocker, double-rocker, or triple-rocker mechanism:
1.15 L 1.5, L₁ = 4, L₂ = 2, L3 = 3.5.
=
Transcribed Image Text:Problems 1.12 through 1.22 Refer to Figure 1.12a. For each of the following problems, (a) determine whether the links can actually form a mecha- nism with the dimensions given; (b) if a mechanism exists, identify the motion relationship (crank rocker, drag link, double rocker, triple rocker, or change point); (c) show the limiting positions if the mechanism is a crank-rocker, double-rocker, or triple-rocker mechanism: 1.15 L 1.5, L₁ = 4, L₂ = 2, L3 = 3.5. =
B
and
B
Link 1
Link 1
ao
Link 1
Link 2
B
Link 2
Link 0
Locus of B
Link 0
(b)
Link 2
Link 0
Link 3
Lo < L₂-L₁ + L3₁
L3 Lo + L₂-L₁.
Locus of C
L₁ + L₂ < Lo + L3.
Link 3
(c)
FIGURE 1.12 (a) Crank-rocker mechanism. For this class of mechanism, continuous rotation
of the driver results in oscillation of the follower. (b) A limiting position of the crank-rocker
mechanism (flexed). (c) A limiting position of the crank-rocker mechanism (extended).
fixed link) are collinear. From geometry, the length of one side of a triangle must be
less than the sum of the lengths of the other two sides. Applying this notion to parts b
and c of the figure, we obtain
Link 3
(1.8)
Transcribed Image Text:B and B Link 1 Link 1 ao Link 1 Link 2 B Link 2 Link 0 Locus of B Link 0 (b) Link 2 Link 0 Link 3 Lo < L₂-L₁ + L3₁ L3 Lo + L₂-L₁. Locus of C L₁ + L₂ < Lo + L3. Link 3 (c) FIGURE 1.12 (a) Crank-rocker mechanism. For this class of mechanism, continuous rotation of the driver results in oscillation of the follower. (b) A limiting position of the crank-rocker mechanism (flexed). (c) A limiting position of the crank-rocker mechanism (extended). fixed link) are collinear. From geometry, the length of one side of a triangle must be less than the sum of the lengths of the other two sides. Applying this notion to parts b and c of the figure, we obtain Link 3 (1.8)
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