A $8\mathrm{.}04-$m ladder with a mass of $24\mathrm{.}5$ kg lies flat on the ground. A painter grabs the top end of the ladder and pulls straight upward

with a force of $262$ N$.$ At the instant the top of the ladder leaves the ground, the ladder experiences an angular acceleration of $1\mathrm{.}84$

rad$//$s$^(2)$ about an axis passing through the bottom end of the ladder. The ladder's center of gravity lies halfway between the top and

bottom ends. $($a$)$ What is the net torque acting on the ladder? $($b$)$ What is the ladder's moment of inertia?