The net torque acting on the ladder is 1122.08 Nm and the ladder's moment of inertia is 597.03 kgm².
In order to determine the net torque acting on the ladder, we need to calculate the torque exerted by the force applied by the painter and the torque due to the ladder's weight. The torque produced by the painter's force is given by the equation:
net torque = force × lever arm
net torque = 269 N × (8.32 m / 2)
net torque = 1122.08 Nm
The ladder's moment of inertia can be found using the equation:
angular acceleration = net torque / moment of inertia
1.88 rad/s² = 1122.08 Nm / moment of inertia
moment of inertia = 1122.08 Nm / 1.88 rad/s²
moment of inertia = 597.03 kgm²