Determine the magnitude and direction of smallest force

[blackandyello]

Homework Statement

To move the oil drum, the resultant of the three forces shown must have
a magnitude of 500 N. Determine the magnitude and direction of the smallest
force F that would cause the drum to move.

here is the figure: http://screensnapr.com/e/yliMVN.png

Homework Equations

summation of x forces = 0 - 300 * cos25 + F cos (p)
summation of y forces = 250 - 300 * sin 25 + F sin (p)

The Attempt at a Solution

i tried using those 2 equations and put it in

R ^2 = x ^2 + y ^2 (phytagorean theorem for resultant)

but i ended with 2 variables missing which is F (magnitude) and p(direction). Any insights? Thanks

 

[JHamm]

Take the two forces given and combine them to give a single net force, draw that in and you should be able to find a direction which uses your force the most efficiently :)

 

[blackandyello]

when we say most efficiently? u pertain that it has to be in the same direction as the resultant?

 

[BruceW]

yep, you got it.