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Function File: Iz = inertiamoment (pp, m)

Moment of intertia of a plane shape.

Calculates the moment of inertia respect to an axis perpendicular to the plane passing through the center of mass of the body.

The shape is defined with piecewise smooth polynomials. pp is a cell where each elements is a 2-by-(poly_degree+1) matrix containing px(i,:) =pp{i}(1,:) and py(i,:) = pp{i}(2,:).

See also: masscenter principalaxis

Demonstration 1

The following code

 % non-convex bezier shape
 weirdhearth ={[-17.6816  -34.3989    7.8580    3.7971; ...
                15.4585  -28.3820  -18.7645    9.8519]; ...
                 [-27.7359   18.1039  -34.5718    3.7878; ...
                  -40.7440   49.7999  -25.5011    2.2304]};
 Iz = inertiamoment (weirdhearth,1)

Produces the following output

Iz =  485.18