The deflection of a cantilevered beam is directly proportional to the load and length, and inversely proportional to Young's modulus and this quantity.
The deflection of a cantilevered beam is directly proportional to the load and length, and inversely proportional to Young's modulus and this quantity. A difference of two of these quantities appears in Euler's equations of motion, and these quantities are coefficients in the definition of Poinsot's ellipsoid. If an object is deformed around its axis of rotation, then by the stretch rule, this quantity will not change. If an object is not rotating about its center of mass, this quantity can still easily be calculated with the addition of an mr2 term by the parallel axis theorem. Name this quantity, equal to torque divided by angular acceleration, which is the rotational analogue of mass.
The deflection of a cantilevered beam is directly proportional to the load and length, and inversely proportional to Young's modulus and this quantity.
{moment of inertia} [do not accept or prompt on “inertia”]