Instantanious center of rotation problems

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SUMMARY

The instantaneous center of rotation for the rigid body in the given problem is identified at point C for member BC. The analysis is based on the assumption that AB is the top side of a parallelogram, leading to the conclusion that the velocities of points B and D are parallel and equal. Consequently, the center of rotation is considered infinite for AD, which exhibits translational motion. The relevant equation used is Vb = ωCB * BC, with ωOA set at 2 s-1.

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Homework Statement


[PLAIN]http://i61.tinypic.com/10dwmtv.
what is the instantaneous center of rotation for the rigid body.

OA = 16
AB = 25
AD = 60
BC = 35
ωOA=2s-1

Homework Equations



Vb=ωCB*BC

The Attempt at a Solution



I am assuming the values angles and vectors from red because I think the problem is impossible to solve without assuming AB is the top side of a parallelogram. I determined the velocity of A by the same relevant equation. If my assumption is correct Vb and Vd move in the same velocity and direction. since they are parallel and in the same direction the center of rotation at this instant is infinite and therefore AD has translational motion. BC is not translational but piston C is translational. It seems the instantaneous center of rotation for member BC is at point C when i draw perpendicular lines to the vectors Vb and Vc. Any ideas
 
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