How to attach a pull up bar to the wall?

[naila123]

Hi all 

I am wanting to make the below pull up bar for my 8 month old baby. So she can practice standing.

For the bar I was going to buy the 12.7mm dowel. What sort of bracket can I use to attach it to the wall per below picture? The bracket can be metal, just want a secure attachment to the wall. 

wooden pull up bar

[Kingleviathan]

Probably good advice...