A cylinder with rotational inertia 0.050 kg m2 is spinning with angular velocity 25 rad/s, clockwise with negligible friction about a vertical axis. A second cylinder that is not spinning is centered above and dropped onto the spinning cylinder. Kinetic friction produces torque of amount 0.60 Nm that affects both objects until the two cylinders spin together at angular velocity 18 rad/s, clockwise. (a) Determine the amount of time it takes for friction to cause the two objects to spin together. (b) Determine the rotational inertia of the second cylinder that was dropped onto the first. (c) Determine the total amount of heat and sound energy resulting from the interaction of the cylinders.
A cylinder with rotational inertia 0.050 kg m2 is spinning with angular velocity 25 rad/s, clockwise with negligible friction about a vertical axis. A second cylinder that is not spinning is centered above and dropped onto the spinning cylinder. Kinetic friction produces torque of amount 0.60 Nm that affects both objects until the two cylinders spin together at angular velocity 18 rad/s, clockwise. (a) Determine the amount of time it takes for friction to cause the two objects to spin together. (b) Determine the rotational inertia of the second cylinder that was dropped onto the first. (c) Determine the total amount of heat and sound energy resulting from the interaction of the cylinders.
Precision Machining Technology (MindTap Course List)
2nd Edition
ISBN:9781285444543
Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Publisher:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Chapter6: Milling
Section6.4: Indexing And Rotary Table Operations
Problem 2RQ: Define the term indexing.
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A cylinder with rotational inertia 0.050 kg m2 is spinning with angular velocity 25 rad/s, clockwise with negligible friction about a vertical axis. A second cylinder that is not spinning is centered above and dropped onto the spinning cylinder. Kinetic friction produces torque of amount 0.60 Nm that affects both objects until the two cylinders spin together at angular velocity 18 rad/s, clockwise.
(a) Determine the amount of time it takes for friction to cause the two objects to spin together.
(b) Determine the rotational inertia of the second cylinder that was dropped onto the first.
(c) Determine the total amount of heat and sound energy resulting from the interaction of the cylinders.
Transcribed Image Text:not
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