Theoretical Mechanics Chapter13; Moment of Momentum Theorem
1 Theoretical Mechanics
理论力学
2
Chapter 13: Moment of Momentum Theorem 813-1 Moment of momentum 813-2 moment of momentum theorem D813-3 Differentialequations for the rotation of a rigid body around a fixed-axis t813-4 Moment ofinertia of a rigid body with respect to an axis s13-5 moment of momentum theorem for a system with respect to its center of mass, differentialequations of plane motion of a rigid body Exercises
3 §13–1 Moment of momentum §13–2 moment of momentum theorem §13–3 Differential equations for the rotation of a rigid body around a fixed-axis §13–4 Moment of inertia of a rigid body with respect to an axis §13–5 moment of momentum theorem for a system with respect to its center of mass, differential equations of plane motion of a rigid body Exercises Chapter 13: Moment of Momentum Theorem
第十三章动量矩定理 §13-1动量矩 §13-2动量矩定理 §13-3刚体定轴转动微分方程 §13-4刚体对轴的转动惯量 d§13-5质点系相对于质心的动量矩定理, 刚体平面运动微分方程 习题课
4 §13–1 动量矩 §13–2 动量矩定理 §13–3 刚体定轴转动微分方程 §13–4 刚体对轴的转动惯量 §13–5 质点系相对于质心的动量矩定理， 刚体平面运动微分方程 习题课 第十三章 动量矩定理
Dynamic Theorem of momentum The change of the momentum of a particle (or of a system of particles) is the result of external forces(the principal vector of an external force system) Theorem of motion of the center of mass The motion of the center of mass is the result of external forces ( the principal vector of an external force system) When the center of mass coincides with a certain point of a fixed axis, then the momentum of a rotating body is al ways zero because Vc=0. But in this case the system is still subjected to the action of external forces. The moment of momentum theorem establishes the dependence between the change of the moment of momentum of a particle or a system with respect to a center(or a fixed axis) and the torque given by all external forces acting on the particle or the system with respect to the same center (or axis)
5 Theorem of momentum: The change of the momentum of a particle (or of a system of particles) is the result of external forces (the principal vector of an external force system). Theorem of motion of the center of mass: The motion of the center of mass is the result of external forces (the principal vector of an external force system). When the center of mass coincides with a certain point of a fixed axis, then the momentum of a rotating body is always zero because Vc=0. But in this case the system is still subjected to the action of external forces. The moment of momentum theorem establishes the dependence between the change of the moment of momentum of a particle or a system with respect to a center (or a fixed axis) and the torque given by all external forces acting on the particle or the system with respect to the same center (or axis)