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Here you will use the moving reference frame kinematics equations:
vP = vA + (vP/A)rel + ω x rP/A
aP = aA + (aP/A)rel + α x rP/A + 2ω x (vP/A)rel + ω x (ω x rP/A)
With the observer attached to the tube AB:
- The angular velocity of the observer is the vector sum of the angular velocity of arm OA and the angular velocity of the tube AB relative to the arm:
ω = Ω I + θ_dot k
where I is a fixed axis and k is a moving axis. - The angular acceleration is the time derivative of the angular velocity vector: α = dω /dt.
- For the (vP/A)rel and (aP/A)rel terms, you need to ask the question: What is the velocity and the acceleration of particle P as seen by the observer?