The figure below shows three flat disks (of the same radius) that can rotate abo

Question

The figure below shows three flat disks (of the same radius) that can rotate about their centers like merry-go-rounds. Each disk consists of the same two materials, one denser than the other (density is mass per unit volume). In disks 1 and 3, the denser material forms the outer half of the disk area. In disk 2, it forms the inner half of the disk area. Forces with identical magnitudes are applied tangentially to the disk, either at the outer edge or at the interface of the two materials, as shown.

Explanation / Answer

we can start with the easy part... part a, that is. Torque isjust force times the distance from the center. So 1 = 2 >3 Well, and b is easy also...    1 = 3 >2 because rot inertia depends on the distribution of massfrom the center of rotation. The further the mass is distributedfrom the center, the greater the rotational inertia. And the and acc... well, #2 has the highest torque andthe lowest rot inertia, so it has the greatest angular acc. Oh of course... then between #1 and #3... they have the samerot inertia, but #1 has greater torque. So #1 has greater ang accthan #3.   So: 2 > 1> 3   

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