4. Four forces act in the directions of the structural members
connected to the gusset plate. The gusset plate is in static
equilibrium. As shown, member 1 is in tension with a force of 200
pounds, and member 2 is in compression with a force of 400
pounds. Member 3 is in tension with a force $F_3$, and member 4 is in
compression with a force $F_4$.
(a) Note that all of the forces act through point O. In the answer box,
complete the free-body diagram of point O. Show each force as an
arrow pointing in the direction the force is acting. Label the forces in
members 1 and 2 with their magnitudes. Draw the forces in
Members 3 and 4 in their correct directions; label them $F_3$ and $F_4$.
(b) Write equilibrium equations, and solve for the magnitudes of the
forces $F_3$ and $F_4$, with correct units.