If the distribution of mass in a shaft is such that it is balanced around its center, then the shaft may still generate a couple force if the weight is not balanced around its axis of rotation. For example:
In this diagram the weight, assuming $x=y$ is balanced around the center of mass, produces no centrifugal force, but does produce a couple around the center of mass, illustrated by the arrow C. Note Cd = Fl.
Let's imagine that we remove weight Y. Now, there will be a centrifugal force G. Does a couple still exist? How is it computed?
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