An unknown mass is attached via string to the axle (radius 0.20 m) of wheel (radius 0.40 m).  The wheel has moment of inertia 0.053 kg•m2.   When the system is released from rest, the mass accelerates downward at 0.10 m/s2. What is the mass? How fast is the mass moving if it falls 1.0 m?   Hint: use kinematics. What is the total kinetic energy of the system at that location (1.0 m)? What would change if the mass were attached to the wheel instead?

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An unknown mass is attached via string to the axle (radius 0.20 m) of wheel (radius 0.40 m).  The wheel has moment of inertia 0.053 kg•m2.   When the system is released from rest, the mass accelerates downward at 0.10 m/s2.

  1. What is the mass?
  2. How fast is the mass moving if it falls 1.0 m?   Hint: use kinematics.
  3. What is the total kinetic energy of the system at that location (1.0 m)?
  4. What would change if the mass were attached to the wheel instead?
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