$!$

Required information

A cylinder with a circular hole is rolling without slipping on a fixed curved surface as shown. The cylinder would have a weight of $16$ lb without the hole, but with the hole it has a weight of $15$ lb $.$

Knowing that at the instant shown the disk has an angular velocity of $\backslash (5\mathrm{.}40\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash )$ clockwise, determine the angular acceleration of the disk.

The angular acceleration of the disk is

$\backslash [$

$\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}^\{2\}$

$\backslash ]$

The x $-$ component of the reaction force between the cylinder and the ground is

The y $-$component of the reaction force between the cylinder and the ground is lb $\backslash (\backslash$uparrow $\backslash ).$