In other circumstances however this is not accepteble. The parallel axis theorem, also known as HuygensSteiner theorem, or just as Steiner's theorem, named after Christiaan Huygens and Jakob Steiner, can be used to determine the moment of inertia or the second moment of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's center of gravity and the perpendicular distance between the axes. It is rather acceptable to ignore the centroidal term for the flange of an I/H section for example, because d is big and flange thickness (the h in the above formulas) is quite small. Usually in enginnereing cross sections the parallel axis term $Ad^2$ is much bigger than the centroidal term $I_o$. Equation 1: The bottom equation is for the magnitude of the moment This is where: Moment of force has the units. $$ I = 13333333.3 \,mm^4 = 1333.33 cm^4 $$ The moment of inertia of more complex body is then defined as the sum of the moments of inertia of all the individual elements, Ik0mk2. Moments of force are vectors, which includes a magnitude and a direction. The product of inertia defined as Ixixj AxixjdA For example, the product of inertia for x and y axes is Ixy AxydA Product of. Here only the product of the area is defined and discussed. $$ I = 2\left(1666666.7 5000000 \right) \,mm^4 $$ In addition to the moment of inertia, the product of inertia is commonly used. There is also a myth that the motor inertia should be equal to load inertia. Applications like Pumps have low inertia and application like Fan and crushers are with high inertia. I_x
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