How Do You Calculate the Reaction at Point A in a Rotating Rod Problem?

AI Thread Summary
To calculate the reaction at point A in the rotating rod problem, the uniform rod ABD is subjected to the given angular velocity and acceleration of crank BC. The user has drawn free body diagrams (FBDs) and applied Newton's 2nd Law but struggles with formulating the necessary kinematic equations. They recognize that a cross product is involved but are unsure how to express it in a usable format. Assistance is requested to clarify the application of kinematics in this context. Understanding these concepts is crucial for solving the problem effectively.
baseballer10p
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Homework Statement


The 4-kg uniform rod ABD is attached to the crank BC and is fitted with a small wheel that can roll without friction along a vertical slot. Knowing that at the instant shown crank BC rotates with an angular velocity of 6 rad/s clockwise and an angular acceleration of 15 rad/s^2 counterclockwise, determine the reaction at A.
D1.jpg



Homework Equations


Newton's 2nd Law (Shown in FBDs)
Acceleration and velocity kinematic equations
aa = ab + aa/b
va = vb + vc/b


The Attempt at a Solution


I've drawn FBDs and written out Newton's 2nd Law, but I'm at a loss on how to write the kinematics equations I need. I know that they involve a cross product, but I don't really know how to use them to make an equation that will come out to all i's and j's. Please help!
D2.jpg

D3.jpg


Thank you.
 
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