The theoretical mechanics represents one of the major fundamental general scientific disciplines which plays a large role when training future engineers and technicians. The solution of tasks of "teormekh" is based on knowledge of the higher mathematics and physics.
Instruction
1. Consider the first stage of studying theoretical mechanics — a statics. For the solution of tasks in theoretical mechanics of this section it is necessary to know fundamentals of vector algebra and also to be able to carry out the majority of action with vectors in two-dimensional and three-dimensional space. Knowledge of bases of a system of coordinates, in particular the Cartesian rectangular system, very strongly will help with the solution of a number of problems of "teormekh". To understand an essence of a task and to surely find the decision, it is necessary to combine this knowledge with implementation of the qualitative drawing of the set conditions.
2. Master such sections of the higher mathematics as analytical geometry, differential calculus of function of one variable and also fundamentals of differential geometry, in particular, a concept of the accompanying trihedron. This information will be useful at the solution of tasks in theoretical mechanics from a kinematics course. Not the last for this section is also the development of imagination as it is necessary to be able to represent various development of process.
3. Solve problems from the section of dynamics by means of knowledge of calculation of integrals, private derivatives and integration of the simplest differential equations of the first and second order.
4. Be trained to solve problems of theoretical mechanics on the simplest examples. For example, the most popular among students of books of problems on this subject is the book under A.A. Yablonsky's authorship. It can be taken in library of the university or to download from any Internet source. Summarize highlights at the solution of tasks.
5. Begin the solution of tasks in theoretical mechanics with the analysis of a condition. Take the sheet of paper and draw on it the set scheme. Specify all forces which affect a body. Work out their equation and define necessary values, using all above-mentioned knowledge.