Figure for Problem $6$

PLEASE DO PROBLEM $6!!!$

Problem $6$

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.