Homework H3.I – Fa 25

Problem statement
Solution video


DISCUSSION THREAD

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?

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