As seen from above in the image, a string is wrapped around the edge of a uniform cylinder of radius R and mass M which is initially resting motionless on a frictionless table. The end of the string is pulled with a force of F over a distance l. If the linear speed of the cylinder is found to be v after pulling this distance, what is the angular speed of the cylinder? (Note that v ≠ ωR in this case.)
1. ω = √ (4 / MR 2) (Fl - 1/2Mv 2)
2. ω = √ (4 / 3MR 2) FR
3. ω = √ (2 / MR 2) (FR - 1/2Mv 2)
4. ω = √ (1 / MR 2) Fl
5. ω = √ (2 / 3MR 2) FR
6. ω = √ (4 / MR 2) (FR - 1/2Mv 2)
7. ω = √ (2 / MR 2) (Fl - 1/2Mv 2)
8. ω = √ (2 / 3MR 2) Fl
9. ω = √ (4 / 3MR 2) Fl
10. ω = √ (1 / MR 2) FR
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