Figure 10-26 shows three flat disks (of the same radius and mass) that can rotat

Question

Figure 10-26 shows three flat disks (of the same radius and mass) 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.

In the following questions, you will need to rank these disks based on various factors. If multiple disks rank equally, use the same rank for each, then exclude the intermediate ranking (i.e. if objects A, B, and C must be ranked, and A and B must both be ranked first, the ranking would be A:1, B:1, C:3). If all disks rank equally, rank each as '1'.

a) Rank the disks according to the torque about the disk center, greatest first.

b) Rank the disks according to the rotational inertia about the disk center, greatest first.

c) Rank the disks according to the angular acceleration of the disk, greatest first.

Explanation / Answer

A:1, B:1, C:3 because torque = force times radius
A:1, C:1, B:3 because rotational inertia proportional to mass times radius squared
B:1, A:2, C:3 because = /I

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