Please following usual rules with qualitative questions.

Chapter 10

Objective Questions

5.

Conceptual questions

4. 7. 11. 13.

Chapter 11

Objective Questions

3. 5.

Conceptual Questions

1. 6. 8.

  1. The graph shown is for the radians traveled by the disc as a function of time, when connected to a string.
  2. Is the angular velocity of the disk positive, negative, or zero at 1s, 2s, and 3s.
  3. Is the angular acceleration positive or negative?**
  1. Why is it that tires that are driven cautiously can last for tens of thousands of miles, while the same tires abused by burnouts and skidding stops will only last for a few thousand miles?
  1. **Four solid objects all have the same radius, depth (into the page) and total mass. Rank them by decreasing rotational inertia. Provide a justification for your analysis.
  1. A sphere and a ring of identical mass and radius roll up identical ramps.

Compare the following

  1. the height reached by each
  2. the coefficient of friction between the surface and the objects required to prevent slipping
  1. If you place a coin flat on a hard table and attempt to spin the coin in a circular fashion, it stops spinning rather quickly. Place the same coin on its edge with the plane that the coin makes perpendicular to the table (essentially “standing up”) and spin the coin with the same initial angular velocity; in this instance, the coin will spin for many seconds before stopping. Explain the difference. In your explanation, mention coefficient of friction, normal force, friction, and torque.
  1. **The system shown is rotating around the center point. Its rotational values are given as L, ω, I, KE. Describe how the relative values will compare, if a motor brings the mass ½ way to center, as it spins. (no frictional torque is present)

  1. For the elliptical orbit shown, if the speed at the furthest point in orbit shown is v, what is the relative speed at the closest point? What would be the easiest means of determining this speed?
  1. As the objects are rolled up the plane, what is the technical direction of the ______. For both questions, make drawings to assist in your explanation.
  2. frictional torque (use right hand rule)
  3. Angular Momentum Make a free body diagram to assist
  1. Answer the same questions (as c) as the objects roll down the plane. For both questions, make drawings to assist in your explanation.
  2. frictional torque (use right hand rule)
  3. Angular Momentum Make a free body diagram to assist
  1. The figure shows three gears that rotate together without slipping. Gear 2 has radius R; gear 3 has radius 2R; and gear 1 has a radius 3R.Gear 2 is forced to rotate by a moter.
  2. If gear 1 is rotating clockwise, what is the direction on rotation of the other gears.
  3. Rank the four gears according to
  4. the linear speed of their rims, greatest first.
  5. their magnitude angular velocity of rotation, greatest first.
  6. Their angular momentum magnitude if they all have the same mass
  1. For the disk, how can we compare the rotational inertias relative to rotation around the x, y, and z axis.