practice

  1. Write something.
  2. A roll of toilet paper is held by the first piece and allowed to unfurl as shown in the diagram to the right. The roll has an outer radius R = 6.0 cm, an inner radius r = 1.8 cm, a mass m = 200 g, and falls a distance s = 3.0 m. Assuming the outer diameter of the roll does not change significantly during the fall, determine …
    1. the final angular speed of the roll
    2. the final translational speed of roll
    3. the angular acceleration of the roll
    4. the translational acceleration of the roll
    5. the tension in the sheets
  3. The top shown below consists of a cylindrical spindle of negligible mass attached to a conical base of mass m = 0.50 kg. The radius of the spindle is r = 1.2 cm and the radius of the cone is R = 10 cm. A string is wound around the spindle. The top is thrown forward with an initial speed of v0 = 10 m/s while at the same time the string is yanked backward. The top moves forward a distance s = 2.5 m, then stops and spins in place.
     
    [magnify]
     
    Using energy considerations determine …
    1. the tension T in the string
    2. something
    3. something else
    4. maybe something else
  4. Write something different.

numerical

  1. problem