FA Note: Figure not drawn to scale. A disk of mass M=2.0 kg and radius R = 0.10 m is supported by a rope of negligible mass, as shown above. The rope is attached to the ceiling at one end and passes under the disk. The other end of the rope is pulled upward with a force FA. The rotational inertia of the disk around its center is MR/2. (a) Calculate the magnitude of the force F necessary to hold the disk at rest. At time t = 0, the force F, is increased to 12 N, causing the disk to accelerate upward. The rope does not slip on the disk as the disk rotates. (b) Calculate the linear acceleration of the disk. (c) Calculate the angular speed of the disk at f = 3.0 s. (d) Calculate the increase in total mechanical energy of the disk from t 0 to t= 3.0 s. (e) The disk is replaced by a hoop of the same mass and radius. Indicate whether the linear acceleration of the hoop is greater than, less than, or the same as the linear acceleration of the disk. Greater than Less than The same as Justify your answer.
FA Note: Figure not drawn to scale. A disk of mass M=2.0 kg and radius R = 0.10 m is supported by a rope of negligible mass, as shown above. The rope is attached to the ceiling at one end and passes under the disk. The other end of the rope is pulled upward with a force FA. The rotational inertia of the disk around its center is MR/2. (a) Calculate the magnitude of the force F necessary to hold the disk at rest. At time t = 0, the force F, is increased to 12 N, causing the disk to accelerate upward. The rope does not slip on the disk as the disk rotates. (b) Calculate the linear acceleration of the disk. (c) Calculate the angular speed of the disk at f = 3.0 s. (d) Calculate the increase in total mechanical energy of the disk from t 0 to t= 3.0 s. (e) The disk is replaced by a hoop of the same mass and radius. Indicate whether the linear acceleration of the hoop is greater than, less than, or the same as the linear acceleration of the disk. Greater than Less than The same as Justify your answer.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:FA
Note: Figure not drawn to scale.
A disk of mass M = 2.0 kg and radius R = 0.10 m is supported by a rope of negligible mass, as shown above. The
rope is attached to the ceiling at one end and passes under the disk. The other end of the rope is pulled upward
with a force FA The rotational inertia of the disk around its center is MR/2.
(a) Calculate the magnitude of the force F necessary to hold the disk at rest.
At time t = 0, the force F is increased to 12 N, causing the disk to accelerate upward. The rope does not slip on
the disk as the disk rotates.
(b) Calculate the linear acceleration of the disk.
(c) Calculate the angular speed of the disk at t= 3.0 s.
(d) Calculate the increase in total mechanical energy of the disk from t = 0 to t= 3.0 s.
(e) The disk is replaced by a hoop of the same mass and radius. Indicate whether the linear acceleration of the
hoop is greater than, less than, or the same as the linear acceleration of the disk.
_Greater than
_Less than
The same as
Justify your answer.
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