There are several standard continuous objects and their centre of mass we studied in previous part of this article. In this article we’ll study the centre of mass of Uniform Hollow and Solid Cones and applications of localization of centre of mass of different cases.
5. Centre of Mass of a Uniform Hollow Cone: To locate the centre of mass of a hollow cone, we
consider an elemental ring at a distance x from apex of the cone along the surface of cone, the
width of elemental ring is taken as dx and find the centre of mass by integrating it within limits
from 0 to the length of cone projector, the radius of hemisphere.
For detailed analysis, see the
video below –
6. Centre of Mass of a Uniform Solid Cone: To locate the centre of mass of a solid cone, we
consider an elemental disc at a distance x from apex of the cone along the altitude of cone, the
width of elemental disc is taken as dx and find the centre of mass by integrating it within limits
from 0 to the altitude of cone.
For detailed analysis, see the video below – https://youtu.be/gN36A7jxqvk
To understand the better application of localization of centre of mass of continuous objects, see the
example videos below –