For 10 points, for what type of motion does the cross product of lever arm and force cause acceleration, also known as torque?
The in⢸nitesimal generators of this operation in 3D are elements in the algebra de⢸ned by the Lie (LEE) bracket of L-sub-k and L-sub-l equals the totally antisymmetric 3-dimensional tensor times L-sub-m. The Lie group corresponding to this operation in 2D has a two-by-two in⢸nitesimal generator in the form of the matrix zero, minus one (pause) one, zero. The special orthogonal group is the group of this isometry's "proper" type. In quantum mechanics, its operator interconverts spin-up and spin-down particles and is generated by the angular momentum operator. Symmetry under this operation equates to conservation of angular momentum by Noether's (NOY-turr's) theorem. For 10 points, for what type of motion does the cross product of lever arm and force cause acceleration, also known as torque?
The in⢸nitesimal generators of this operation in 3D are elements in the algebra de⢸ned by the Lie (LEE) bracket of L-sub-k and L-sub-l equals the totally antisymmetric 3-dimensional tensor times L-sub-m.
rotational motion [or circular motion; or angular motion]