Finding Inclination of Rod on Cylinder to Wall

[Suvadip]

A smooth circular cylinder of radius $$b$$ is fixed parallel to a smooth vertical wall with its axis horizontal at distance $$c$$ from the wall. A smooth uniform heavy rod of length $$2a$$ rests on the cylinder with one end on the wall in a vertical plane perpendicular to the wall. Show that its inclination $$\theta$$ to the horizontal is given by

$$a\cos^3\theta+b\sin^3\theta=c$$

Please help

 

[Ackbach]

Re: statics

Two things:

1. Could you please post a picture of the situation?

2. Could you please show what work and ideas you've had?