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A small, solid cylinder with mass = 20 kg and radius = 0.10 m starts from...

A small, solid cylinder with mass = 20 kg and radius = 0.10 m starts from rest and rotates without friction about a fixed axis through its center of mass. A string is wrapped around the circumference of the cylinder and pulled using a constant force F. The resulting angular acceleration of the cylinder is 5.0 rad/s2. (The moment of inertia of the cylinder is 1/2 MR^2.)

1. What's the force F, in Newtons?

2. What's the angular velocity after 4.0 s, in radians per second

3. What length of string has unwound after 4.0 s, in meters

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