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A uniform disk, of mass M and radius R, lies on one side initially at rest on a frictionless horizontal surface. A constant force F is than applied tangentially at its perimeter by means of a string wrapped around its edge. Describe the subsequent (rotational and translational) motion of the disk.

A uniform disk, of mass M and radius R, lies on one side initially at rest on a frictionless  horizontal  surface. A constant force F is than applied tangentially  at its perimeter  by means of a string wrapped around its edge. Describe  the subsequent (rotational and translational)  motion of the disk.
 

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
The linear acceleration a of the disk can be written using Newton’s second law of motion as,
232-1352_1.PNG
The force F is also responsible for rotating the disk about its axis of rotation passing through the center of disk, and perpendicular to surface of disk. The torque experienced by the disk is,

232-149_1.PNG
232-1090_1.PNG

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