Category Archives: Chapter 3 Homework

Homework H3.G – Fa 25

Problem statement
Solution video


DISCUSSION THREAD

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?