A2L Item 184

Goal: Problem solving with rotational dynamics

Source: UMPERG-ctqpe148

A hoop
of mass 4 kg and radius 10 cm rolls without slipping down an incline
30° to the horizontal. The acceleration of the center of the hoop
is most nearly

  1. 10 m/s2
  2. 5 m/s2
  3. 3.5 m/s2
  4. 2.5 m/s2
  5. none of the above
  6. cannot be determined

Commentary:

Answer

(4) Students should realize that the acceleration must be less
than a sliding mass on a frictionless surface would have which is #2.
Engage the students in a discussion of why the acceleration cannot
depend upon the radius.