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Summary of the general theorems of dynamics Problem for one particle dynamics Establish the differential equations of motion for a particle and solve them Problem for the dynamics of a system of particles. In principle, we can write down 3n differential equations for a system of n particles Practical problems are 1. Combining and solving differential equations(performing the integral operation) is very difficult 2. In a great number of problems we only need to investigate the motion of the system of particles as a whole without the necessity to know the motion of every particle in the system. Starting with the present chapter we introduce other methods of solving dynamical problems. The general theorems of dynamics (including the theorem of momentum, the theorem of kinetic energy. the theorem of moment of momentum and some others theorems derived from them) will be introduced3 Summary of the General Theorems of Dynamics Problem for one particle dynamics Establish the differential equations of motion for a particle and solve them. Problem for the dynamics of a system of particles. In principle, we can write down 3n differential equations for a system of n particles and then solve them. Practical problems are : 1.Combining and solving differential equations (performing the integral operation) is very difficult. 2.In a great number of problems we only need to investigate the motion of the system of particles as a whole without the necessity to know the motion of every particle in the system. Starting with the present chapter we introduce other methods of solving dynamical problems. The general theorems of dynamics (including the theorem of momentum, the theorem of kinetic energy, the theorem of moment of momentum and some others theorems derived from them) will be introduced
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