Moments and Centre of Mass*

• Centre of Mass for x = Sum of the product of the masses and the respective x coordinate over the sum of the masses.
• Position of Centre of Mass for a Hollow Hemisphere = 1/2r from Base.
• Position of Centre of Mass for a Semi-Circular Lamina: 4r/3Pi from Base.
• Position of Centre of Mass for a Solid Cone or Pyramid: 1/4h from Base.
• Position of Centre of Mass for a Hollow Cone or Pyramid: 1/3h from Base.
• Position of Centre of Mass for a Solid Hemisphere: 3/8r from Base.
• Position of Centre of Mass for a Triangle: 2/3 from the thin edges.
• Volume of Revolution = Integral of the product of Pi and the function of x squared with respect to x.
• Centre of Mass using Integration : Integral of the product of y squared and x with respect to x over the integral of y squared with respect to x.