$4-43$ Figure P$4-17$ shows an off$-$loading station at the end of a paper rolling machine. The finished paper rolls are $0\mathrm{.}9-m$ OD by $0\mathrm{.}22-m$ ID by $3\mathrm{.}23-m$ long and have a density of $984k\frac{g}{m^3}.$ The rolls are transferred from the machine conveyor $($not shown$)$ to the forklift truck by the V$-$linkage of the off$-$load station which is rotated through $90$ by an air cylinder. The paper then rolls onto the waiting forks of the truck. The forks are $38-mm$ thick by $100-mm$ wide by $1\mathrm{.}2-m$ long and are tipped at a $3$ angle from the horizontal. Find the stresses in the two forks the truck when the paper rolls onto it under two different conditions $($state all assumptions$)$:

$($a$)$ The two forks are unsupported at their free end.

$($b$)$ The two forks are contacting the table at point $A.$