Question

Two children (*m* = 27.0 kg each) stand opposite each
other on the edge of a merry-go-round. The merry-go-round, which
has a mass of 1.66 ? 10^{2} kg and a radius of 1.6 m, is
spinning at a constant rate of 0.38 rev/s. Treat the two children
and the merry-go-round as a system.

(a) Calculate the angular momentum of the system, treating each
child as a particle. (Give the magnitude.)

kg · m^{2}/s

(b) Calculate the total kinetic energy of the system.

J

(c) Both children walk half the distance toward the center of the
merry-go-round. Calculate the final angular speed of the
system.

rad/s

Answer #1

Two children
(m = 28.0 kg
each) stand opposite each other on the edge of a merry-go-round.
The merry-go-round, which has a mass of 1.72 ? 102 kgand
a radius of 1.4 m, is spinning at a constant rate of 0.44 rev/s.
Treat the two children and the merry-go-round as a system.
(a) Calculate the angular momentum of the system, treating each
child as a particle. (Give the magnitude.)
(b) Calculate the total kinetic energy of the system.
(c) Both...

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If Ben reaches the edge while Jerry is halfway between the
center and the edge, what will be the new angular velocity
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a) Angelica starts spinning the merry-go-round, giving it an
angular velocity of 7 rad/s , then she stops pushing it. Boris runs
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are playing on a merry-go-round (which you can assume is a solid
disk with mass 200 kg and radius 1.5m). Assume that any friction
on the axle of the merry-go-round is negligible.
A) Angelica starts spinning the merry-go-round, giving it an
angular velocity of 7 rad/s , then she stops pushing it. Boris runs
with a speed of 8 m/s directly toward the center of the...

Two children, Angelica (mass 30 kg ) and Boris (mass 50 kg ),
are playing on a merry-go-round (which you can assume is a solid
disk with mass 250 kg and radius 1.5m). Assume that any friction
on the axle of the merry-go-round is negligible.
Part A.) Angelica starts spinning the merry-go-round, giving it
an angular velocity of 8 rad/s , then she stops pushing it. Boris
runs with a speed of 6 m/s directly toward the center of...

Two children, Angelica (mass 25 kg) and Boris (mass 50 kg), are
playing on a merry-go-round (which you can assume is a solid disk
with mass 225 kg and radius 1.5m). Assume that any friction on the
axle of the merry-go-round is negligible.
Part A: Angelica starts spinning the merry-go-round, giving it
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A 2.8-m-diameter merry-go-round with rotational inertia 110
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what is the new angular velocity in rpm?

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