![]() You can search for CG and area of a circle segment. Wolfram has the equation for these " $ y^-$"s, of a segment as well as its area. one may need the help of Matlab, or Mathematica or such tools.īut generally for each part you find its "I" about its own CG then add that to its area times the square of its CG height from xx axis. ![]() These can be broken into segments and small triangles on their sides. Now you subtract the "I" of two missing parts from the top and bottom. You find the "I" of a complete ring about xx axis first and that is done by calculating the "I" of the big circle: R = 0.625 subtracted by the "I" of small inner disk: R = 0.5. $$I=\frac)$$Īssuming you want the moment of inertia, " $Ixx$", about the horizontal axis, you do as follows: You calculate the moment of inertia of the sector about the horizontal axis as follows: Your assembly consists of a small sector subtracted from a larger sector as shown below: ![]() ![]() My first answer is kept below for reference. There seems to be a much easier way I overlooked, which I'll explain.
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