Halliday, Resnick & Walker — Rotation: Problem Problem_52

In Fig. 10.23, a cylinder having a mass of 2.0 kg can rotate about its central axis through point O. Forces are applied as shown: $F_1 = 6.0\text{ N}$, $F_2 = 4.0\text{ N}$, $F_3 = 2.0\text{ N}$, and $F_4 = 5.0\text{ N}$. Also, $r = 5.0\text{ cm}$ and $R = 12\text{ cm}$. Find the (a) magnitude and (b) direction of the angular acceleration of the cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.)