Question $2(16$ marks; recommended time is $25-45$ minutes$)$

The $400-kg$ concrete culvert has a mean radius of $0\mathrm{.}5$ m $.$ If the $1500-kg$ truck begins to move from rest with an acceleration of $3\frac{m}{s^2},$ determine the total frictional force between the truck wheels and the ground. Assume that the culvert does not slip on the truck bed, and neglect its thickness. The truck is rear$-$wheel driven and the front wheels are free to roll. Also assume that the masses of the wheels are negligible. The position of the centre of gravity of the truck is not required to solve the problem.

Note: You must draw separate free$-$body and inertialresponse diagrams where required.