Scientific paper ID 1 : 2003/1

When it is necessary to describe the movement of an ideal holonom mechanical system with its dynamic analysis using summarized coordinates the number of which exceeds its degrees of freedom, the dependents can be expressed by the summarized coordinates chosen to be independent and the equations of Lagrange of II order can be applied for a holonom system or it can be applied with factors. That creates certain difficulties as the coordinates expressed take part in the energy functions being on second power and the factors are determined for each problem.

Having in mind the difficulties with using two approaches already known, the paper presents a new form of "the general equation of dynamics" in summarized coordinates that is convenient to apply. This form is called "modified equations of Lagrange of II order".