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 />
1.0
2.64 rad/s
3.8 rad/s
4.4 rad/s
5.12 rad/s
6.None of the above.
7.Cannot be determined."
Question 2A disk, with radius 0.25 m and mass 4 kg, lies flat on a smooth horizontal tabletop. A string wound about the disk is pulled with a force of 8N. What is the acceleration of the disk?
![](data:text/plain;base64,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)