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find axial stress

MIT 8.01 Physics I Classical Mechanics, Fall 1999
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when you calculate for dM in 2nd step dM\[\int\limits_{0}^{b}x^2 \sigma d x \] i cant figure out how x^2 pops out need help here ...
apart from previous one I have another conceptual doubt |dw:1349027770783:dw| suppose this is a slender rod ,acted by tensile load P as previous and if I want to calculate axial stress at area b*b then whats is area should be taken whether its 4b^2 or b^2 ? I mean whole or the concerned area.....

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i get the solution you can remove now and thanks

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