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String on a Cylinder and its Free Fall and Angular Velocity

A massless string is wrapped around a uniform solid cylinder with mass M = 10 kg and radius R = 0.40 m. One end of the string is attached to the cylinder and the free end is pulled tangentially by a force that maintains a constant tension T = 5 N . Find

(a) the angular acceleration

(b) the angular speed of the cylinder 5.0 s after the force is applied to the cylinder initially at rest.

Solution Preview

The string is always tangent to the surface of the cylinder. The angle between the tension and the radial vector is 90 degree. The torque ...

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