The hoist shown in figure is constructed using two wooden bars with modulus of elasticity $E=1800$ksi and allowable stress of ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=5$ksi. For a factor of safety of $K=2\mathrm{.}5,$ determine the maximum permissible weight $W$ that can be lifted using the hoist for the case of $L=60in.$ Note that $1$ksi$=6\mathrm{.}89$MPa.

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Cross section $BB$