Learning topic
Particle Dynamics
Learn particle dynamics using Newton’s laws, F = ma, differential equations of motion, direct and inverse dynamics problems, and common force models.
Subtopics
Particle dynamics establishes the relationship between particle motion and the forces acting on it. Unlike kinematics, acceleration is now interpreted as a consequence of force interaction according to Newton's laws.
Newton's laws
The section is based on inertia, the relation between resultant force and acceleration, and the action-reaction principle. For a particle of constant mass, the equation of motion is written in vector form and projected onto convenient axes.
Differential equations of motion
When forces are known as functions of position, velocity, or time, Newton's second law produces differential equations. Their solution together with initial conditions determines the particle's motion.
Direct and inverse problems
In one class of problems, a prescribed motion is used to determine the required force or resultant. In the other, known forces and initial conditions are used to determine motion. Typical models include gravity, elastic forces, and resistance.
About this topic
This section covers Newton's laws, differential equations of particle motion, the fundamental dynamics problems, and motion under typical forces.