Question

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·m^{2}, 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 ω_{0} =
3.56 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 0.177 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...

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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A child pushes her friend (m = 25 kg) located at a radius r =
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