To express work in a way that is independent of the path taken, a change in a quantity that depends on only the end points is needed. The capacity to do work that a body or system has by viture of is position is called its potential energy. Independence of W12 on the particular path implies that the work done around a closed ciruit is zero: I F T =Ī force is considered conservative if the work is the same for any physically possible path.
Mv 2 2 The work is the change in kinetic energy. dv W12 = m dt 1 dt 1 1 m W12 = (v22 − v12 ) = T2 − T1 2 Kinetic Energy: Z.In most cases, mass is constant and work simplifies to: 2 Torque is the time derivative of angular momentum: dt2 Newton’s second law of motion holds in a reference frame that is inertial or Galilean. dt In most cases, mass is constant and force is simplified: F=Īcceleration: d2 r.
‘Classical’ refers to the contradistinction to ‘quantum’ mechanics. Goldstein Classical Mechanics Notes Michael Good May 30, 2004Ĭlassical mechanics incorporates special relativity.
