Question

A cylinder is sliced in half along its diagonal. Determine the location of the center of mass and the inertia properties relative to a coordinate system whose z axis coincides with the axis of the cylinder and whose origin is situated at the circular end.

Answer 1

Answer:

See the explanation below

Explanation:

To better understand this problem, a cylinder sketch is attached before and after the cut, we see that after the cut, the shape of this resembles that of a right triangle.

We can find, the centroid in the xy plane, knowing that the centroid for a triangle is located a third of its base.

In the z axis there is no displacement of the centroid.