Discussion on: 821 Rectangle minus semi-circle | Moment of Inertia
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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:
$\displaystyle I_y = \int x^2 \, dA = \int_{x_1}^{x_2} x^2 \, (y \, dx)$
$\displaystyle I_y = \int_0^8 x^2\left( 10 - \sqrt{8x - x^2} \right) \, dx$