It is demonstrated that if the vector sum of the external forces and the total external torque are functions of all the positions and the velocities of the particles, the internal forces will affect indirectly the lin...It is demonstrated that if the vector sum of the external forces and the total external torque are functions of all the positions and the velocities of the particles, the internal forces will affect indirectly the linear momentum and the angular momentum of a system of the particles through the and. In order to ensure that the internal forces have no effect on the and of the system, the external forces must be restricted to a linear function of and. Some examples which show that internal forces do affect the motion of the center of mass and the angular momentum of the system were discussed.展开更多
文摘It is demonstrated that if the vector sum of the external forces and the total external torque are functions of all the positions and the velocities of the particles, the internal forces will affect indirectly the linear momentum and the angular momentum of a system of the particles through the and. In order to ensure that the internal forces have no effect on the and of the system, the external forces must be restricted to a linear function of and. Some examples which show that internal forces do affect the motion of the center of mass and the angular momentum of the system were discussed.