The device shown in the figure below consists of a thin rod of length { = 22.8 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The device is free to pivot about a frictionless axle through the bottom of the rod. The device is initially vertical and at rest when it starts to rotate clockwise. |M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? 6.79 (b) What is the angular speed (in rad/s) of the rod and ball? 8.76 rad/s (c) What is the linear speed (in m/s) of the center of mass of the ball? 2.44 m/s

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter13: Rotation Ii: A Conservation Approach
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The device shown in the figure below consists of a thin rod of length { = 22.8 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg
attached to its top. The device is free to pivot about a frictionless axle through the bottom of the rod. The device is initially vertical and at rest when it starts to rotate
clockwise.
|M
(a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)?
6.79
(b) What is the angular speed (in rad/s) of the rod and ball?
8.76
rad/s
(c) What is the linear speed (in m/s) of the center of mass of the ball?
2.44
m/s
Transcribed Image Text:The device shown in the figure below consists of a thin rod of length { = 22.8 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The device is free to pivot about a frictionless axle through the bottom of the rod. The device is initially vertical and at rest when it starts to rotate clockwise. |M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? 6.79 (b) What is the angular speed (in rad/s) of the rod and ball? 8.76 rad/s (c) What is the linear speed (in m/s) of the center of mass of the ball? 2.44 m/s
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