1. A puck on a frictionless air hockey table has a mass of 5 kg and is attached to a cord passing through a hole in the surface as in the figure. The puck is revolving at a distance 2 m from the hole with an angular velocity of 3 rad/s. The angular momentum of the puck (in kg m²/s) is:

2. A pendulum bob of mass m, is set into motion in a circular path in a horizontal plane as shown in the figure. The square of the angular momentum of the bob about the vertical axis through the point p is:

3. A puck on a frictionless air hockey table has a mass of 5kg and is attached to a cord passing through a hole in the surface as in the figure. The puck is revolving at a distance 2 m from the hole with an angular velocity of 3 rad/s. The cord is then pulled from below, shortening the radius to 1 m. The new angular velocity (in rad/s) is:

4. A skater extends her arms horizontally, holding a 5kg mass in each hand. She is rotating about a vertical axis with an angular velocity of one revolution per second. If she drops her hands to her sides, what will the final angular velocity (in rev/s) be if her moment of inertia remains approximately constant at 5 kg m², and the distance of the masses from the axis changes from 1 m to .1 m?

5. A disk with a moment of inertia relative to a vertical axis through its center is dropped onto a disk having half its moment of inertia which is rotating with an angular velocity w. The final angular velocity will be:

6. A merry-go-round of radius R = 2 m has a moment of inertia I = 250 kg m², and is rotating at 10 rmp. A child whose mass is 25 kg jumps onto the edge of the merry-go-round, heading directly toward the center at 6 m/s. The new angular speed (in rpm) of the merry-go-round is approximately:

7. A merry-go-round of radius R = 2 m has a moment of inertia I = 250 kg m², and is rotating at 10 rmp. A child whose mass is 25 kg jumps onto the edge of the merry-go-round, heading tangent to the endge at 6 m/s. The new angular speed (in rpm) of the merry-go-round is approximately:

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