The object shown in the figure below consists of a thin rod of length l = 23.3 cm and mass m = 1.20 kg with a solid sphere of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The object is free to pivot about a frictionless axle through the bottom of the rod. The object is initially vertical and at rest when it starts to rotate clockwise. m M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? J (b) What is the angular speed (in rad/s) of the rod and sphere? rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.3 cm? (Express your answer as a percentage of Vfall") swing is ---Select--- V *Vfall by %.
The object shown in the figure below consists of a thin rod of length l = 23.3 cm and mass m = 1.20 kg with a solid sphere of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The object is free to pivot about a frictionless axle through the bottom of the rod. The object is initially vertical and at rest when it starts to rotate clockwise. m M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? J (b) What is the angular speed (in rad/s) of the rod and sphere? rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.3 cm? (Express your answer as a percentage of Vfall") swing is ---Select--- V *Vfall by %.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 46P: A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is...
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Transcribed Image Text:The object shown in the figure below consists of a thin rod of length l = 23.3 cm and mass m = 1.20 kg with a solid sphere
of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The object is free to pivot about a frictionless axle
through the bottom of the rod. The object is initially vertical and at rest when it starts to rotate clockwise.
m
M
(a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)?
J
(b) What is the angular speed (in rad/s) of the rod and sphere?
rad/s
(c) What is the linear speed (in m/s) of the center of mass of the sphere?
m/s

Transcribed Image Text:(d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.3 cm? (Express
your answer as a percentage of Vfall")
swing is ---Select--- V
*Vfall by
%.
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