A static problem involves finding the equilibrium state of a system, where all forces and accelerations are balanced. In contrast, a dynamic problem involves analyzing the motion of a system over a period of time, taking into account forces and accelerations that may change.
The general approach for solving static problems involves identifying all the forces acting on a system, drawing a free body diagram, and then using Newton's laws of motion to set up and solve equations to find the unknown quantities, such as forces or accelerations.
A system is in equilibrium if the vector sum of all forces acting on it is equal to zero and the sum of all torques (rotational forces) is also equal to zero. This means that the system is not accelerating or rotating.
Some common techniques used for solving static problems include the method of joints, the method of sections, and the method of virtual work. These methods involve breaking down a complex system into smaller, solvable parts and then using equations and principles of statics to solve for the unknowns.
Solving static problems is important in various fields such as engineering, architecture, and physics. Some real-world applications include analyzing the stability of structures, designing bridges and buildings, and understanding the forces acting on different objects in everyday life.