Daily Quiz # 14f Torque 6

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Two wheels with fixed hubs, each weighing 1 kg, start from rest and forces are applied as shown. (Assume the hubs and spokes are massless, so the rotational inertia of such a wheel is I=MR2.) In order to impart identical angular accelerations, how large must the force on the large wheel be relative to that on the small one?

1. 1/4

 

2. 1/2

 

3. the same

 

4. 2

 

5. 4