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Relative velocity method_01
1. A four-bar mechanism with dimensions as shown in the figure, is driven by crank 2 at constant angular speed of 600 rpm CCW. Find the
instantaneous velocities of coupler P and linear velocities of links 3 and 4 in the position shown.
Solution:
(a) Solve for the linear velocity of crank 2
J J I
$ $ { I { F % %
J J I J I
(b) Drawing the link using CAD:
(c) The vector equation connecting known velocity vB to unknown velocity vC on the same link BC is:
- È
(d) Sketch the velocity polygon, (scale 1:10)
Select suitable position of pole OV, draw the first velocity vector VB, considering its magnitude and direction.
Sketch velocity vC from OV, knowing only its direction, which is perpendicular to crank DC.
Finally, sketch velocity VC/B from the tip of VB, the direction of VC/B is perpendicular to link BC
The intersection of OvC and bc is the magnitude of each velocity: {% %% {{ { % %% and
È {% %%{{ { % %% .
(e) To obtain linear velocity of point P, we will use the principle of velocity image.