Friday, 5 October 2012

PROBLEM:1.240


Demonstrate that in the case of a thin plate of arbitrary shape there is the following relationship between the moments of inertia:   I1 + I2 = I3, where subindices 1, 2, and 3 define three mu­tually perpendicular axes passing through one point, with axes 1 and 2   lying in the plane of the plate. Using this relationship, find the moment of inertia of a thin uniform round disc of radius R and mass m relative to the axis coinciding with one of its diameters.