$(40$P$)$ The nails are on both sides of the beam and each can resist a shear of $F.$ If the cantilever beam is subjected to the loadings shown, determine the maximum load $P$ that can be applied to the end of the beam. The nails are spaced $dmm$ apart and the allowable shear stress for the wood is ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}\text{.}}.$

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$\backslash$table$[[d(mm),L(m),w(k\frac{N}{m}),F(kN),{}_{\text{a}\text{l}\text{l}\text{o}\text{w}}($MPa$)],[75,1\mathrm{.}5,1\mathrm{.}0,1\mathrm{.}5,2\mathrm{.}0]]$