Problems $21,22,23$

A solid cylinder of mass M $=10$kg is pivoted about a frictionless axis through

the center. A rope wrapped around the outer radius R$1=1$ m$,$ exerts a force

F$1=5$ N to the right. A second rope wrapped around another section of

radius R$2=0\mathrm{.}5$ m exerts a force F$2=6$ N downward.

$21.$ The angular acceleration of the cylinder is closest to:

Ans. $-0\mathrm{.}4$rad$/$s$2$

$22.$ The angular velocity after first $5$ seconds, if it starts from rest is closest to:

Ans. $-2$ rad$/$s

$23.$ The number of rotations the disk rotates through in the first $5$ seconds, if it starts from rest is

closest to:

Ans. $0\mathrm{.}8$