USA: +1-585-535-1023

UK: +44-208-133-5697

AUS: +61-280-07-5697

Derivation of Mass Moment of Inertia for Rectangle Section, Prism, Sphere etc. From First Principal

The mass moment of inertia of the following bodies will be determined by the method of integration:

  1. Mass moment of inertia of a rectangular plate,
  2. Mass moment of inertia of a circular plate.
  3. Mass moment of inertia of a hollow circular cylinder.
  4. Mass moment of inertia of a right circular cone of base radius R, height H and mass M about its axis.

4.15.1. Mass Moment of Inertia of a Rectangular Plate

(a) Mass moment of inertia of a rectangular plate about X-X axis passing through
the C.G. of the plate.

Fig. 4.44 shows a rectangular plate of width b, depth ‘d’ and uniform thickness ‘t’. Consider a small element of width ‘b’ at a distance ‘y’ from X-X axis as shown in
Fig. 4.45.

Derivation of Mass Moment of Inertia for Rectangle Section, Prism, Sphere etc. From First Principal

Derivation of Mass Moment of Inertia for Rectangle Section, Prism, Sphere etc. From First Principal