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Here you will use the moving reference frame kinematics equations:
vA = vC + (vA/C)rel + ω x rA/C
aA = aC + (aA/C)rel + α x rA/C + 2ω x (vA/C)rel + ω x (ω x rA/C)
With the observer attached to the disk:
- The angular velocity of the observer is the vector sum of the angular velocity of arm OC and the angular velocity of the disk relative to the arm:
ω = ω1 J + ω2 i
where J is a fixed axis and i is a moving axis. - The angular acceleration is the time derivative of the angular velocity vector: α = dω /dt.
- For the (vA/C)rel and (aA/C)rel terms, you need to ask the question: What is the velocity and the acceleration of point A as seen by the observer?