How to Find h in Hydrostatics?

[Saladsamurai]

Homework Statement

So this is a five part problem. I have already done the first 4 parts that involved the mess of different liquids to the left in the diagram.

I am only concerned with finding h now, which I believe does not even require me to look at the left hand side of the diagram.

I should be able to find it using only H1, H2, (SG)_Hg, gamma_L and p_atm

I also labeled a point a because I believe it will be of use to me.

Homework Equations

The hydrostatic relation $p=p_o+\rho g y=p_o+\gamma y$Can someone give me a hint? I have done tons of these before, but I am stumped for some reason on this one

What is confusing is that i am given "heights" and not "depths." Not sure why that is effing me up so badly.

 

[rl.bhat]

Hg level in left tube = H1 - h
Hg level in right tube = H2
Find the excess mercury level in the right hand tube.
Excess pressure due to this level must be balanced by the excess pressure due to h level of liquid of density of γL.

 

[Saladsamurai]

H2-(H1-h)γ_Hg=hγ_L

That look about right rl.bhat ?

 

[rl.bhat]

H2-(H1-h)γ_Hg=hγ_L

That look about right rl.bhat ?

It should be [H2-(H1-h)]γ_Hg=hγ_L