Imagine two circular plates; one is solid and the other has a hole cut out of the center. Both plates have the same radius, same thickness, and same mass. The same force F is applied tangential to the edge of each plate in such a way that the plates rotate about an axis passing through the center and perpendicular to the surface of the plates. Which one of the following statements is true regarding the angular acceleration? O The plate with the hole will have the greater angular acceleration. O The solid plate will have the greater angular acceleration. O Both plates will rotate with the same angular acceleration. Which of the following statements helps to explain the question asked above? (Select all that apply.) Angular acceleration is inversely proportional to the moment of inertia. O Angular acceleration is directly proportional to the moment of inertia. The plate with the hole has its mass distributed further out from the axis of rotation, which will increase its moment of inertia. Because both plates have the same mass, they will have the same moment of inertia. Both plates will be subjected to the same torque.

Imagine two circular plates; one is solid and the other has a hole cut out of the center. Both plates have the same radius, same thickness, and same mass. The same force F is applied tangential to the edge of each plate in such a way that the plates rotate about an axis passing through the center and perpendicular to the surface of the plates. Which one of the following statements is true regarding the angular acceleration? O The plate with the hole will have the greater angular acceleration. O The solid plate will have the greater angular acceleration. O Both plates will rotate with the same angular acceleration. Which of the following statements helps to explain the question asked above? (Select all that apply.) Angular acceleration is inversely proportional to the moment of inertia. O Angular acceleration is directly proportional to the moment of inertia. The plate with the hole has its mass distributed further out from the axis of rotation, which will increase its moment of inertia. Because both plates have the same mass, they will have the same moment of inertia. Both plates will be subjected to the same torque.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 63PQ

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