Discussion on: 821 Rectangle minus semi-circle | Moment of Inertia
Following is a discussion on the Reviewer item titled: 821 Rectangle minus semi-circle | Moment of Inertia. Feel free to add your own comments!
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- Hydraulics: Rotating Vessel
- Inverse Trigo
- General Solution of $y' = x \, \ln x$
- engineering economics: construct the cash flow diagram
- Integration of 4x^2/csc^3x√sinxcosx dx
- Maxima and minima (trapezoidal gutter)
- Special products and factoring
- Newton's Law of Cooling
- Law of cosines
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How would you work out Iy
i understand how to work out the moment of inertia with reference to the x-axis however i cant seem to work out the moment of inertia with reference to the y-axis
Re: How would you work out Iy
In reply to How would you work out Iy by MathMan1-1
You can do integration, it is more convenient:
$\displaystyle I_y = \int x^2 \, dA = \int_{x_1}^{x_2} x^2 \, (y \, dx)$
$\displaystyle I_y = \int_0^8 x^2\left( 10 - \sqrt{8x - x^2} \right) \, dx$