Starting from rest, a constant force F = 100 N is applied to the free end of a 45-{\rm m} cable wrapped around the outer rim of a uniform solid cylinder, similar to the situation shown in Fig.10.9. The cylinder has mass 5.00 kg and diameter 40.0 cm and is free to turn about a fixed, frictionless axle through its center.
How Long does it take the cable to unwrap?
How fast is the cable moving just as the last bit comes off?