16. Angular Momentum

Conservation of Angular Momentum

16. Angular Momentum

# Conservation of Angular Momentum - Video Tutorials & Practice Problems

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concept

## Conservation of Angular Momentum

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2

example

## Ice skater closes her arms

Video duration:

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3

Problem

ProblemSuppose a diver spins at 8 rad/s while falling with a moment of inertia about an axis through himself of 3 kg•m^{2}. What moment of inertia would the diver need to have to spin at 4 rad/s?

BONUS:How could he accomplish this?

A

4 kg•m

_{2}B

6 kg•m

_{2}C

11 kg•m

_{2}D

24 kg•m

_{2}4

example

## Star collapses

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5

Problem

ProblemTwo astronauts, both 80 kg, are connected in space by a light cable. When they are 10 m apart, they spin about their center of mass with 6 rad/s. Calculate the new angular speed they'll have if they pull on the rope to reduce their distance to 5 m. You may treat them as point masses, and assume they continue to spin around their center of mass.

A

ω

_{f}= 1.5 rad/sB

ω

_{f}= 4 rad/sC

ω

_{f}= 6 rad/sD

ω

_{f}= 24 rad/s6

example

## Landing and moving on a disc

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PRACTICE PROBLEMS AND ACTIVITIES (28)

- The rotor (flywheel) of a toy gyroscope has mass 0.140 kg. Its moment of inertia about its axis is 1.20 * 10^-...
- Under some circumstances, a star can collapse into an extremely dense object made mostly of neutrons and calle...
- A thin uniform rod has a length of 0.500 m and is rotating in a circle on a frictionless table. The axis of ro...
- A large wooden turntable in the shape of a flat uniform disk has a radius of 2.00 m and a total mass of 120 kg...
- A Gyroscope on the Moon. A certain gyroscope precesses at a rate of 0.50 rad/s when used on earth. If it were ...
- CP A small block on a frictionless, horizontal surface has a mass of 0.0250 kg. It is attached to a massless c...
- CP A small block on a frictionless, horizontal surface has a mass of 0.0250 kg. It is attached to a massless c...
- The Spinning Figure Skater. The outstretched hands and arms of a figure skater preparing for a spin can be con...
- A large wooden turntable in the shape of a flat uniform disk has a radius of 2.00 m and a total mass of 120 kg...
- (II) A figure skater can increase her spin rotation rate from an initial rate of 1.0 rev every 1.5 s to a fina...
- A 10 g bullet traveling at 400 m/s strikes a 10 kg, 1.0-m-wide door at the edge opposite the hinge. The bullet...
- A satellite follows the elliptical orbit shown in FIGURE P12.77. The only force on the satellite is the gravit...
- A merry-go-round is a common piece of playground equipment. A 3.0-m-diameter merry-go-round with a mass of 250...
- During most of its lifetime, a star maintains an equilibrium size in which the inward force of gravity on each...
- (II) A person of mass 75 kg stands at the center of a rotating merry-go-round platform of radius 3.0 m and mom...
- (II) A person of mass 75 kg stands at the center of a rotating merry-go-round platform of radius 3.0 m and mom...
- (II) A uniform disk turns at 4.1 rev/s around a frictionless central axis. A nonrotating rod, of the same mas...
- (II) A woman of mass m stands at the edge of a solid cylindrical platform of mass M and radius R. At t = 0, th...
- Suppose a star the size of our Sun, but with mass 8.0 times as great, were rotating at a speed of 1.0 revoluti...
- Suppose a star the size of our Sun, but with mass 8.0 times as great, were rotating at a speed of 1.0 revoluti...
- A 70.0-kg person stands on a tiny rotating platform with arms outstretched.(c) If one rotation takes 1.2 s whe...
- A 70.0-kg person stands on a tiny rotating platform with arms outstretched.One rotation takes 1.2 s when the p...
- (II) Two ice skaters, both of mass 68 kg, approach on parallel paths 1.6 m apart. Both are moving at 3.5 m/s w...
- A 70.0-kg person stands on a tiny rotating platform with arms outstretched.(e) From your answer to part (d), w...
- (III) On a level billiards table a cue ball, initially at rest at point O on the table, is struck so that it l...
- (III) On a level billiards table a cue ball, initially at rest at point O on the table, is struck so that it l...
- (III) On a level billiards table a cue ball, initially at rest at point O on the table, is struck so that it l...
- (II) Two ice skaters, both of mass 68 kg, approach on parallel paths 1.6 m apart. Both are moving at 3.5 m/s w...