A utility pole supports a bundle of wires that apply the 400 and 650 N forces shown, and a...

A utility pole supports a bundle of wires that apply the 400 and 650 N forces shown, and a guy wire applies the force .

(a)    If = . determine the resultant force applied by the wires to the pole and report your result using polar vector representation.

(b)   Repeat Part (a) if P = 500 N and α = 60°.

(c)   With α = 60°, what value of P will produce a resultant force that is vertical?

(d)   If the resultant force is to be vertical and P is to be as small as possible, determine the value a should have and the corresponding value of P.

Figure P2.10