This document discusses curvilinear motion and its kinematics. It defines curvilinear motion as the motion of a particle along a curved path and introduces the key concepts in analyzing this motion, including position vector, path, velocity, acceleration, and rectangular components. The document also distinguishes between kinematics, which describes motion without considering forces, and kinetics, which takes forces into account to determine acceleration or velocity.

1. CURVILINEAR MOTION:
1. Kinematics of curvilinear motion
2. Position Vector and Path
3. Velocity
4. Acceleration
5. Rectangular Components
6. Example
Contents

2. CURVILINEAR MOTION
Introduction:
The dynamics is classified into the following two branches:
 Kinematics:
In studying the kinematics, we only describe the motion of the particle
without considering the forces that act upon it, i.e, we study the
variations the variations of the particle’s position, velocity, and
acceleration with the time.
 Kinetics:
In kinetics, all the forces that act upon the particle are considered. We
first apply Newton`s second law of motion or the principle of work
and energy to determine the acceleration or the velocity of the
particle, respectively, then, we complete the analysis of the motion by
studying the kinematics..

3. CURVILINEAR MOTION
Curvilinear Motion:
 We think of a particle as a body which has mass,
but has negligible dimensions.
 This approximation may be perfectly acceptable in some
situations and not adequate in some other cases.
 For instance, if we want to study the motion of planets,
it is common to consider each planet as a particle.
This simplification is not adequate if we wish to study the
precession of a gyroscope or a spinning top.

4.  In dynamics we study the motion and the forces that
cause, or are generated as a result of the motion.
 The connection between forces and motions is the
domain of kinetics and will be the subject of the next
lecture.
1. Kinematics of curvilinear motion