A $7\mathrm{.}00$ m long diving board is a uniform beam of mass $50\mathrm{.}0$ kg $.$ It has $2$ vertical supports, $1$ at the left end $(L)$ and $1$ located $1\mathrm{.}00$ m from the left end $(R).$ A $55\mathrm{.}0$ kg diver stands $0\mathrm{.}500$ m from the right end. Calculate the magnitudes and directions of the support forces, L & R$.$