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## Main Question or Discussion Point

Let's first consider a cube side length a, mass m, Young's modulus of the block is E. How do we calculate the decrease of the height of the center of mass of that cube ?

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- #1

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Let's first consider a cube side length a, mass m, Young's modulus of the block is E. How do we calculate the decrease of the height of the center of mass of that cube ?

- #2

Chestermiller

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What are your thoughts so far on how to approach this problem?

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- #4

Chestermiller

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The differential force balance on the section of the cube between z and z + ##\Delta z## (z is measured downward from the top) is $$a^2\frac{d\sigma}{dz}=\rho g a^2$$ where A is the cross sectional area, ##\sigma## is the compressive stress, and ##\rho## is the density of the material ##m/(a^2L)##. Do you see how this result is derived?

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Thank you very much, I was completely wrong with my argument.

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