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Post Closed as "Needs details or clarity" by Matt Hanson, controlgroup, Miyase
Post Reopened by Chemomechanics, gandalf61, Vincent Thacker
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D G
D G
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Consider the following diagram.

Because any point in the same level must have the same hydrostatic pressure.

Using the red line as a reference, I have \begin{align} (a+b)\rho_1 &= 2b\rho_2\\ \end{align}\begin{align}\require{cancel} (a+b)\rho_1 \bcancel{g} &= 2b\rho_2\bcancel{g}\\ \end{align}

But using the blue line as a reference, I have \begin{align} a \rho_1 &= b\rho_2\\ \end{align}\begin{align}\require{cancel} a \rho_1 \bcancel{g} &= b\rho_2 \bcancel{g}\\ \end{align}

Why are they different? I am really confused.

enter image description here

Consider the following diagram.

Using the red line as a reference, I have \begin{align} (a+b)\rho_1 &= 2b\rho_2\\ \end{align}

But using the blue line as a reference, I have \begin{align} a \rho_1 &= b\rho_2\\ \end{align}

Why are they different? I am really confused.

enter image description here

Consider the following diagram.

Because any point in the same level must have the same hydrostatic pressure.

Using the red line as a reference, I have \begin{align}\require{cancel} (a+b)\rho_1 \bcancel{g} &= 2b\rho_2\bcancel{g}\\ \end{align}

But using the blue line as a reference, I have \begin{align}\require{cancel} a \rho_1 \bcancel{g} &= b\rho_2 \bcancel{g}\\ \end{align}

Why are they different? I am really confused.

enter image description here

Post Closed as "Needs details or clarity" by Chemomechanics, Jon Custer, Michael Seifert
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Amit
Amit
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D G
D G
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Inconsistent equations from two different references

Consider the following diagram.

Using the red line as a reference, I have \begin{align} (a+b)\rho_1 &= 2b\rho_2\\ \end{align}

But using the blue line as a reference, I have \begin{align} a \rho_1 &= b\rho_2\\ \end{align}

Why are they different? I am really confused.

enter image description here