The three forces (magnitudes 100 lb, 200 lb, and P) combine to produce a resultant R (Fi...

The three forces (magnitudes 100 lb, 200 lb, and P) combine to produce a resultant R (Figure P4.9). The three forces act in known directions, but the numerical value P is unknown.

(a) What should the magnitude of P be so that the resultant is as small as possible?

(b) For that value, what angle does the resultant make relative to the positive x-axis?