Finding the angle when two rods hinged together hang in equilibrium

[nazz]

2 uniform roods each or weight W and length L are welded together so that angel ABC is 90, the two rods are hanging in equilibrium from a fixed loin at A by a hinge which allows the rods to swing in a vertical plane. by taking the moments about the hinge find the angle that AB makes with the vertical.

Question is my force diagram correct or what are the forces involved besides weights ?

please have a look at my force diagram, attached image

 

[haruspex]

Your diagram is drawn as though the centre of mass of rod BC is vertically below A. That will not be the case.

 

[nazz]

so what is right force diagram ?

 

[haruspex]

so what is right force diagram ?

Rod AB has a centre of mass to the right of A. Where does the centre of mass of BC need to be for the centre of mass of ABC to be directly below A?