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## Homework Statement

Determine the angular velocity of the gear at the instant shown. Set v = 9ft/s and vc = 6ft/s. Assume counterclockwise is positive.

## Homework Equations

v = w x r

_{IC}

## The Attempt at a Solution

I tried solving this many times using va = v0 + (ω x r

_{a0}) and v

_{b}=v0 + (ω x r

_{b0}) but kept getting the wrong answer.

Then I ended up solving for the instantaneous center using similar triangles and used v = ωxr

_{IC}.

How do I know when to use an instantaneous center in my problem solving?