When calculating this quantity, it is useful to find the lever arm.
For an Euler-Bernoulli beam, this quantity is proportional to Young's modulus times the 2nd derivative of displacement with respect to position. The 3 components of this quantity can be determined in terms of the 3 components of angular velocity by the Euler equations. For a dipole in an electric field, this quantity is equal to the dipole moment crossed with the field. Precession occurs when this quantity is perpendicular to the angular momentum vector. When calculating this quantity, it is useful to find the lever arm. Newton's Second Law sets it equal to the product of the moment of inertia and angular acceleration. For 10 points, name this quantity defined as R cross F, the rotational analogue of force.
For an Euler-Bernoulli beam, this quantity is proportional to Young's modulus times the 2nd derivative of displacement with respect to position.
torque