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Translational Acceleration of a Rolling Disk

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A uniform disk with mass M, radius R, and moment of inertia I = (1/2)MR² is initially at rest on a horizontal surface. A constant force F is applied tangentially to the rim, causing the disk to roll without slipping. What is the resulting translational acceleration, a, of the disk’s center of mass?

A

a = F/M

B

a = F/3M

C

a = 2F/3M

D

a = F/2M

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