I'd like to see lots of diagrams and velocity vectors. Play with concepts before you get bogged down in the calculations! At the instant shown, link
OAis rotating counter clockwise at
8ra(d)/(s). On the diagram a. Sketch the direction of
v_(A)and calculate its magnitude. b. Sketch the direction of
v_(B)Now off the given diagram, c. Sketch the vector showing the direction of
r_((A)/(B))and state its magnitude d. Sketch the vector showing the direction of
v_((A)/(B))(velocity of
Apretending
Bis a fixed axis) a e. Write an expression (equation) of
v_((A)/(B))as a function of the unknown
\omega _(ABD). f. Sketch the vector diagram of
v_(A)=v_(B)+v_((A)/(B))g. Calculate
\omega _(ABD),v_(B), and
\omega _(BC)