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Velocity of the point B is determined by the next two vector
equations
V V A V BA ,
B
V V O 1 V BO 1 .
B
We must solve these equations graphically. Let’s draw line
of velocity V ВА action through the point a, which is perpendicular
to the link AB. V O 1 0, because the point O 1 is fixed. This point is
placed in the pole of velocities polygon. Next one draw line of
V BO action through the pole р v. This line should perpendicular to
1
the link О 1В. These both lines will cross and will give wanted the
point b.
Determine velocities
V BA ab V 24 0, 012 0, 288m/s,
V B V BO 1 p v 56 0, 012 0, 672m/s.
b
v
Velocity of the point C is determined by theorem of
similarity. Look at these proportions:
O 1 C p v c , wherefrom p c p b O 1 C 56 70 78 mm.
O 1 B p v b v v O 1 B 50
Draw vector p c 78 mm on the velocities polygon from
the pole in same direction as the vector p (or continue the
b
vector p v b on distance p v c p v b 22mm). The point C is gotten
on the velocities polygon as result. Magnitude of this velocity
looks like:
V p c v 78 0, 012 0, 936m/s.
C
We need to solve the vector equation for determination of
the point D velocity
V D V C V DC .
Draw straight line through the point c perpendicular to the
link CD – direction of velocity V DC. Further, draw vertical line
from the pole p – it is direction of the slider’s trajectory of
motion. We got the point d on intersection.
Determine velocities
V DC cd 8 0, 012 0, 096m/s,
v
V p v d v 76 0, 012 0, 912 m/s.
D
Let’s determine angular velocities for links, 7s -1
1
12