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In this particular mechanism, we have a body 2 which is rotating,
and as it rotates, this body 4 will be oscillating.
At this point B, body 5 is connected to body 4.
Body 6 (point C) is moving along the horizontal.
reciprocating
Point A in body 2.
Another point A in body 3.
And there is another point A in body 4.
They are coincident.
The relative velocity is the sliding velocity of body 3 along body 4.
In terms of vectors, if we have this as the vector of the velocity of A in body 2,
... equal to omega 2 x O2A...
... we have a sliding vector, sliding component of velocity.
That sliding component of velocity is the...
... relative velocity of A on 3 along (with respect to) A on 4.
That particular component of the velocity...
...is the velocity of that point ( point A on 4)...
.. which must be perpendicular to A4O4.
We can make the proportionality line.
The velocity of point B is given by that vector.
Velocity of point B
If we have to determine the velocity of C by resolution and composition method,
we can transfer this vector here
along the horizontal, we can draw that line
which will represent the velocity of point C.
by resolution and composition method.
This is the axis of velocity of body 4.
If we extend this, and make this vertical line, there is a point (of intersection)
which is the axis of velocity of body 5.
The instantaneous axis of velocity of body 5.
With that, we can make the arc that passes through point B, and transfer the velocity vector of B.
It is the vector here (of the same magnitude.)
We can make the proportionality line, and we confirm the velocity of point C.
By relative velocity method (of analysis) on this part of the mechanism,
We can transfer the velocity vector of B.
The velocity of C is along the horizontal.
And the relative velocity of C with respect of B is perpendicular to that line BC.
With that, we can make this line which is parallel to this line, and ,
we have an intersection here.
This is our origin O.
This is our velocity of C and this is our velocity of B.
This is the velocity of C with respect to B.