Repeat Part (b) of Example 2.5. using the optimization methods of calculus. Hint: Redraw t...

Repeat Part (b) of Example 2.5. using the optimization methods of calculus. Hint: Redraw the force polygon of Fig. 3 and rewrite Eq. (1) on p. 39 with the 45° angle shown there replaced by β, where β defined in Fig. P2.I6. Rearrange this equation to obtain an expression for  as a function of β, and then determine the value of  β that makes . While the approach described here is straightforward to carry out “by hand,” you might also consider using symbolic algebra software such a Mathematica or Maple.

Figure P2.16