Question

A Texas cockroach of mass 0.177 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has a radius 14.1 cm, rotational inertia 5.88 x 10-3 kg·m2, and frictionless bearings. The cockroach's speed (relative to the ground) is 2.73 m/s, and the lazy Susan turns clockwise with angular velocity ω0 = 3.38 rad/s. The cockroach finds a bread crumb on the rim and, of course, stops. (a) What is the angular speed of the lazy Susan after the cockroach stops? (b) Is mechanical energy conserved as it stops?

Answer #1

A Texas cockroach of mass 0.108 kg runs counterclockwise around
the rim of a lazy Susan (a circular disk mounted on a vertical
axle) that has a radius 12.4 cm, rotational inertia 4.19 x
10-3 kg·m2, and frictionless bearings. The
cockroach's speed (relative to the ground) is 2.81 m/s, and the
lazy Susan turns clockwise with angular velocity ω0 =
3.56 rad/s. The cockroach finds a bread crumb on the rim and, of
course, stops. (a) What is the angular...

A Texas cockroach of mass 0.100 kg runs counterclockwise around
the rim of a lazy Susan (a circular disk mounted on a vertical
axle) that has a radius 15.1 cm, rotational inertia 4.86 x 10-3
kg·m2, and frictionless bearings. The cockroach's speed (relative
to the ground) is 1.88 m/s, and the lazy Susan turns clockwise with
angular velocity ω0 = 2.56 rad/s. The cockroach finds a bread crumb
on the rim and, of course, stops. (a) What is the angular...

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The turntable is initially at rest and is free to rotate about a
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system) at a constant speed of 1.5 m/s relative to the Earth.
(a) In what direction and with what angular speed...

Two disks are mounted (like a merry-go-round) on low-friction
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spinning counterclockwise (which may be taken as the positive
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(a) What...

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The turntable is initially at rest and is free to rotate about a
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system) at a constant speed of 1.50 m/s relative to the Earth. (a)
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A 65.0-kg woman stands at the rim of a horizontal turntable
having a moment of inertia of 460 kg · m2 and a radius of 2.00 m.
The turntable is initially at rest and is free to rotate about a
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starts walking around the rim clockwise (as viewed from above the
system) at a constant speed of 1.50 m/s relative to the Earth.
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A child pushes her friend (m = 25 kg) located at a radius r =
1.5 m on a merry-go-round (rmgr = 2.0 m, Imgr
= 1000 kg*m2) with a constant force F = 90 N applied
tangentially to the edge of the merry-go-round (i.e., the force is
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