I am given this shape (or any similar shape which is symmetrical). How can I determine the barycenter without calculating anything?
My thought intuitively is, that the center should be at C, since it is denser around the middle (thus pulling the center of mass towards it. However I'm not sure. Is there a smart and quick way to deal with such shapes and finding the barycenter?
the "exercise" is to estimate where the center of mass / barycenter is going to be , the choices which are given are : ABCD and E (none of these, which is only really ever the case if its really obviously not ABCD)
it is meant to be solved in under 1 minute , so there is no time to draw triangles, or calculate integrals , how would one go about quickly estimating the barycenter for such an object?
Assuming the part is homogeneous, the vertical through the barycenter must split the area in two equal parts.