Chapter 12, Problem 15P

ILWForces $\stackrel{\to }{F_1}$, $\stackrel{\to }{F_2}$ and $\stackrel{\to }{F_3}$ act on the structure of Fig. 12-33, shown in an overhead view. We wish to put the structure in equilibrium by applying a fourth force, at a point such as P. The fourth force has vector components $\stackrel{\to }{F_h}$ and $\stackrel{\to }{F_v}$.We are given that a = 2.0 m, b = 3.0m, c = 1.0 m, F₁ =20N, F₂ = 10 N, and F₃= 5.0 N. Find (a) F_h, (b) F_v, and (c) d.

Figure 12-33 Problem 15.