$1.$ The assembly weighs $9\mathrm{.}2$ lb and has a radius of gyration kG $1\mathrm{.}0-$ ft about its center of mass G $.$ The kinetic energy of the assembly is $\backslash (32\backslash$mathrm$\{$ft$\}-\backslash$mathrm$\{$lb$\}\backslash )$ when it is in the position shown. If it is rolling counterelockwise $0$ the contact surface without slipping, determine the following dynamics quantities at this instant.

$-$ How much is the mass moment of inertia of the assembly in slug$-\backslash (\backslash$mathrm$\{$ft$\}^\{2\}\backslash )?$

$-$ How much is the angular velocity of the assembly in $\backslash (\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash )?$

$-$ How much is the velocity at G of the assembly in $\backslash (\backslash$mathrm$\{$ft$\}/\backslash$mathrm$\{$s$\}\backslash )?$

$-$ How much is the linear momentum at G of the assembly in slug$-$ft$/$s$?$