Kinematics of Particles - Engineering Mechanics (Undergraduate Advanced)

Do you want to learn how to describe and analyze the motion of particles in one and two dimensions? Do you want to apply your knowledge of kinematics to solve real-world problems in engineering, physics, and sports? Do you want to master the use of different coordinate systems and reference frames to simplify your calculations and enhance your understanding? If you answered yes to any of these questions, then this course is for you! Engineering Mechanics: Kinematics of Particles comprehensively addresses the fundamental concepts and principles of particle kinematics. You will learn how to: - Define and measure the position, velocity, and acceleration of a particle moving along a straight or curved path. - Use various methods to determine the motion of a particle, such as equations of motion, graphical solutions, and numerical solutions. - Apply the concepts of relative and dependent motion to analyze the motion of several particles or connected bodies. - Choose the most suitable coordinate system for a given problem, such as rectangular, polar, normal-tangential, or radial-transverse coordinates. - Understand the effects of different reference frames on the observed motion of a particle, such as inertial, non-inertial, or rotating frames. By the end of this course, you will have a solid foundation in particle kinematics that will enable you to tackle more advanced topics in dynamics, mechanics, and other fields of engineering and science. You will also have the skills and confidence to apply your knowledge to real-world situations, such as the trajectory of a snowboarder, the orbital speed of a satellite, or the accelerations during acrobatic flying. This course is designed for students, engineers, and enthusiasts who have a basic background in calculus, physics, and vector algebra. Once enrolled, you have access to dynamic video lessons, interactive quizzes, and live chat support for an immersive learning experience. You engage with clear video explanations, test your understanding with instant-feedback quizzes and interact with our expert instructor and peers in the chat room. Join a supportive learning community to exchange ideas, ask questions, and collaborate with peers as you master the material, by enrolling right away.

210

59 hrs

Payment required for enrolment
Enrolment valid for 12 months
This course is also part of the following learning track. You may join the track to gain comprehensive knowledge across related courses.
[University] Engineering Mechanics - Dynamics
[University] Engineering Mechanics - Dynamics
Master the principles governing the motion of engineering systems. This learning track provides a complete education in dynamics, systematically building from the kinematics of particles to the kinetics of rigid bodies and culminating in an introduction to dynamic systems and vibration. You will learn to analyse and predict how mechanical systems behave under the influence of forces. This programme is for undergraduate students in mechanical, aerospace, civil, or related engineering disciplines. It is also essential for practising engineers and applied scientists who require a rigorous, first-principles command of dynamic analysis for their professional work. A prerequisite knowledge of statics, calculus, and vector algebra is assumed. Upon completion, you will possess the analytical tools to solve complex dynamics problems for particles and rigid bodies using force, energy, and momentum methods. This provides the essential foundation for advanced study in mechanical design, control systems, and structural analysis, and prepares you for demanding technical roles in the engineering sector.

Master the principles governing the motion of engineering systems. This learning track provides a complete education in dynamics, systematically building from the kinematics of particles to the kinetics of rigid bodies and culminating in an introduction to dynamic systems and vibration. You will learn to analyse and predict how mechanical systems behave under the influence of forces. This programme is for undergraduate students in mechanical, aerospace, civil, or related engineering disciplines. It is also essential for practising engineers and applied scientists who require a rigorous, first-principles command of dynamic analysis for their professional work. A prerequisite knowledge of statics, calculus, and vector algebra is assumed. Upon completion, you will possess the analytical tools to solve complex dynamics problems for particles and rigid bodies using force, energy, and momentum methods. This provides the essential foundation for advanced study in mechanical design, control systems, and structural analysis, and prepares you for demanding technical roles in the engineering sector.

Course Chapters

1. Introduction
13

Meaning of mechanics, dynamics, kinematics, kinetics and other terms; general problem solution method; units of measurement.

Chapter lessons

1-1. Mechanics
24:29

Meaning and branches of mechanics; meaning and branches of the mechanics of rigid bodies - statics and dynamics; meaning and branches of dynamics - kinematics and kinetics.

1-2. Engineering mechanics
15:11

Meaning of engineering, and the need for engineering mechanics.

1-3. Newtonian mechanics
8:45

Meaning, history, applications and limitations of Newtonian mechanics.

1-4. Space, time and mass
21:10

Meaning and measurement of space, time and mass.

1-5. Force
12:04

Meaning and measurement of force.

1-6. Particles and rigid bodies
20:29

Differences between particles and rigid bodies in the study of mechanics of rigid bodies.

1-7. Fundamental principles I
1:12:45

Fundamental concepts and principles on which the study of mechanics is based - the parallelogram law of addition of forces (vectors in general) and the principle of transmissibility of forces.

1-8. Fundamental principles II
26:32

Fundamental concepts and principles on which the study of mechanics is based - Newton's three laws of motion.

1-9. Fundamental principles III
14:52

Fundamental concepts and principles on which the study of mechanics is based - Newton's law of universal gravitation.

1-10. Systems of unit
27:18

The SI system of units, the US customary units and conversion between them.

1-11. Solving problems
54:15

General mechanics problem solution approach.

1-12. Numerical and symbolic solutions
6:40

Meaning and the need for numerical and symbolic solutions.

1-13. Our approach
5:57

The learning process, methodology and references for this course.

2. General Rectilinear Motion
4
12

Analysis of rectilinear motion with variable acceleration.

Chapter lessons

2-1. Introduction
30:29

Meaning of rectilinear motion; defining the position, distance and displacement of a particle undergoing rectilinear motion.

2-2. Velocity
35:09

Defining average and instantaneous values of speed and velocity for a particle undergoing rectilinear motion; implications of zero velocity.

2-3. Acceleration
27:44

Defining average and instantaneous acceleration for a particle undergoing rectilinear motion.

2-4. Procedure
29:08

Different kinds of rectilinear motion of particles problems and their solution methods.

3. Special Rectilinear Motion (1)
2
4

Analysis of rectilinear motion with constant acceleration - uniform motion and uniformly-accelerated motion.

Chapter lessons

3-1. Uniform acceleration
32:04

Meaning of uniformly-accelerated motion and its implications.

3-2. Uniform velocity
8:24

Meaning of uniform motion and its implications.

4. Special Rectilinear Motion (2)
3
6

Analysis of relative independent motion of particles, and absolute and relative dependent motion of connected (or constrained) particles.

Chapter lessons

4-1. Relative motion
34:18

Relative position, velocity and acceleration for two particles in rectilinear motion.

4-2. Dependent motion (1)
35:52

Dependent motion of connected bodies and how to relate their positions, velocities and accelerations when the connecting cable(s) is (are) aligned with the direction(s) of motion of the bodies.

4-3. Dependent motion (2)
47:10

Dependent motion of connected bodies and how to relate their positions, velocities and accelerations when the connecting cable(s) is (are) not aligned with the direction(s) of motion of the bodies.

5. Graphical Analysis
1
4

Analysis of erratic rectilinear motion problems using graphs relating the motion parameters.

Chapter lessons

5-1. Erratic motion
31:29

Meaning of erratic motion and its implications.

6. Curvilinear Motion (1)
3
14

Analysis of the curvilinear motion of particles using rectangular (Cartesian) coordinates.

Chapter lessons

6-1. Curvilinear motion
35:20

Meaning of curvilinear motion; general definitions of position, displacement, velocity and acceleration for a particle undergoing curvilinear motion.

6-2. Rectangular components
20:58

Definitions of position, velocity and acceleration of a particle in curvilinear motion using the Cartesian coordinate system.

6-3. Projectile motion
38:13

Application of the concepts of rectangular components for curvilinear motion to problems of projectile motion.

7. Curvilinear Motion (2)
1
7

Analysis of the curvilinear motion of particles using components normal and tangential to the trajectory of motion.

Chapter lessons

7-1. Normal and tangential components
1:27:25

Position, speed, velocity, acceleration and radius of curvature of the trajectory of a particle in curvilinear motion, using components normal and tangential to the trajectory.

8. Curvilinear Motion (3)
1
10

Analysis of the curvilinear motion of particles using radial and transverse components.

Chapter lessons

8-1. Radial and transverse components
34:36

Position, displacement, velocity and acceleration of a particle in curvilinear motion, using radial and transverse (polar) components.