Define angular momentum (`vecL`) and torque (`vecr`). Show that `(dvecL)/dt = tau`.

Define angular momentum (vec(L)) and torque (vec(tau)) Show that (d vec(L))/(dt) = vec(tau) .

Define angular momentum Derive the relation between angular momentum and torque.

The magnetic moment vectors mu_(s)andmu_(l) associated with the intrinsic spin angular momentum vecs and orbital angular angular momentum vecl respectively , of an electron are predicted by quantum theory to be given by mu_(s)=-((e)/(m))s,mu_(1)=-((e)/(2m))l Which of these relations is in accordance with the result expected classically ? Outline the derivation of the classical result.

Show that the angular momentum of a particle under the action of the force vec(F) = k vec(r ) is conserved , where K is a constant quantity.