Kinematics using vector analysis

AI Thread Summary
The discussion revolves around understanding the kinematics of a system involving points A, B, C, and D using vector analysis. The velocity of point D is questioned, particularly why it has only an i component and is not zero despite being a fixed point. It is clarified that point D is not stationary but moves along a circular path due to the pivoting of segment CD about point C. At the moment described, segment CD is vertical, resulting in a horizontal tangent vector for point D's motion. This highlights the importance of analyzing motion in relation to pivot points and the geometry of the system.
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Homework Statement



4e9b23fa04e6e173e3f349493846bf58.png


Homework Equations



Va = Vb + Va/b
Va = Vb + (wab x ra/b)

The Attempt at a Solution



OK so here is part of my solution:

e86f179e151f512dd5808025f06a411c.png


My velocity for B is correct according to the book. But I'm confused about D. The only problem here is that the velocity of D only has an i component, no j component. How do we know that and why is that? Also, how come the velocity of D isn't zero since it's a fixed point?
 
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Why do you think that D is a fixed point? At the time shown, D is at the end of CD and must move along the circle with center C since CD pivots about C. At the time shown, CD is vertical so the tangent vector to the circle is horizontal at that time.
 

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