This document analyzes the forces and torques acting on an object supported by three forces. It finds that the horizontal force F3 is 5.0 N by analyzing horizontal equilibrium. Vertical equilibrium yields the vertical force Fv is 30 N from F1 and F2. Computing torques about point O using the lever arms and known forces finds the distance d from O to be 1.3 m.

1. 19. (a) Analyzing the horizontal forces (which add to zero) we find Fh = F3 = 5.0 N.
(b) Equilibrium of vertical forces leads to Fv = F1 + F2 = 30 N.
(c) Computing torques about point O, we obtain
(10)(3.0) + (5.0)(2.0)
Fv d = F2 b + F3 a =⇒ d = = 1.3 m .
30