MOMENT OF INERTIA OF AN AREA
second moment is also known as moment of inertia second moment of A wrt x-axis, I_{x} = ∫y^{2}dA second moment of A wrt y-axis, I_{y} = ∫x^{2}dA polar moment of inertia of A wrt origin (o), J_{o} = ∫r^{2}dA |
MOMENT OF INERTIA OF A MASS
I = ∫r^{2}dm |
PARALLEL-AXIS THEOREM OF AN AREA
I_{new} = I_{centroidal} + Ad^{2} |
PARALLEL-AXIS THEOREM OF A MASS
I_{new} = I_{centroidal} + md^{2} |
RADIUS OF GYRATION OF AN AREA
k = ( I / A )^{½} |
RADIUS OF GYRATION OF A MASS
k = ( I / m )^{½} |