Kinematics of Rectilinear Motion
Dynamics is the branch of mechanics which deals with the motion of bodies under the action of forces. Dynamics has two distinct parts: kinematics, which is the study of motion without reference of forces which cause the motion, and kinetics, which relates the action of forces on bodies to their resulting motions.
Force and Acceleration
The first and third law of motion were extensively used in developing the concepts of statics. Although these laws are also considered in dynamics, Newton’s second law of motion forms the basis for most of the study in dynamics. Second Law of Motion relates the accelerated motion of a particle to the forces that act on it.
D'Alembert's Principle: The system of external forces acting on the body in motion is in dynamic equilibrium with the inertia force of the body.
Tangential and Normal Acceleration
When a particle moves along a curved path which is known, the equation of motion of particle may be written in tangential and normal directions.