A Texas cockroach of mass 0.156 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has a radius 17.8 cm, rotational inertia 3.05 x 103 kg-m², and frictionless bearings. The cockroach's speed (relative to the ground) is 1.92 m/s, and the lazy Susan turns clockwise with angular velocity wo = 3.48 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?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter11: Angular Momentum
Section: Chapter Questions
Problem 89AP: A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis...
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A Texas cockroach of mass 0.156 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a
vertical axle) that has a radius 17.8 cm, rotational inertia 3.05 x 10 kg-m², and frictionless bearings. The cockroach's
speed (relative to the ground) is 1.92 m/s, and the lazy Susan turns clockwise with angular velocity wo = 3.48 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?
(a) Number i
(b)
Units
Transcribed Image Text:A Texas cockroach of mass 0.156 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has a radius 17.8 cm, rotational inertia 3.05 x 10 kg-m², and frictionless bearings. The cockroach's speed (relative to the ground) is 1.92 m/s, and the lazy Susan turns clockwise with angular velocity wo = 3.48 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? (a) Number i (b) Units
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