Differential moment of inertia

AI Thread Summary
The discussion revolves around understanding the calculation of the moment of inertia with respect to the y-axis, despite the differential element being oriented along the x-axis. The user expresses confusion about how to initiate the problem, particularly regarding the differential area element dA defined as x dy. They question the reasoning behind the chosen orientation of the differential element when the moment of inertia is to be calculated about the y-axis. The conversation highlights the need for clarity in visualizing the relationship between the axes and the differential elements in the context of moment of inertia calculations. Ultimately, the discussion seeks guidance on how to approach the problem effectively.
kyu
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Homework Statement



since it's asking us to find the moment of inertia with respect to y-axis, why did they draw the differential element to x-axis?

Homework Equations





The Attempt at a Solution



because of the initial problem.. i don't know how to start.. so

dA = x dy
I(y) = x^2 (x dy)
 

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since it's asking us to find the moment of inertia with respect to y-axis, why did they draw the differential element to x-axis?
... they show an element width dy and length x at position y=x^3.
How would you do it?
 

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