A tripod is loaded at point O with an external force F as shown in the picture. This force lies in the xy

plane with an orientation defined by the angle $$ measured from the y axis. Knowing that internal forces

are developed along the axes of each leg $($e$.$g$.,$ the internal force of the leg OC is directed along the line

OC$)$:

a$)$ Determine the angle $$ such that the internal forces developed in legs OB and OC have the

same magnitude.

b$)$ Determine the internal forces in each leg.

The supports at A$,$ B$,$ C can exert forces in either direction along the attached legs.