Kinematics of Particles - Engineering Mechanics (Dynamics)

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.

146

55 hrs

$ 10.00

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.

MEE 206: Engineering Mechanics II (Dynamics)

Comprehensive treatise of motion of particles and rigid bodies, with focus on the motion of engineering mechanisms. Curated for second-year students of engineering and at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.

Course Chapters

Introduction

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

Chapter lessons

1.Mechanics24:29

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.

2.Engineering mechanics15:11

Meaning of engineering, and the need for engineering mechanics.

3.Newtonian mechanics8:45

Meaning, history, applications and limitations of Newtonian mechanics.

4.Space, time and mass21:10

Meaning and measurement of space, time and mass.

5.Force12:04

Meaning and measurement of force.

6.Particles and rigid bodies20:29

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

7.Fundamental principles I1:12:45

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.

8.Fundamental principles II26:32

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

9.Fundamental principles III14:52

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

10.Systems of unit27:18

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

11.Solving problems54:15

General mechanics problem solution approach.

12.Numerical and symbolic solutions6:40

Meaning and the need for numerical and symbolic solutions.

13.Our approach5:57

The learning process, methodology and references for this course.

General Rectilinear Motion

Analysis of rectilinear motion with variable acceleration.

Chapter lessons

1.Introduction30:29

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

2.Velocity35:09

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

3.Acceleration27:44

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

4.Procedure29:08

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

5.Worked examples (1)49:35

Worked examples on particle rectilinear motion problems of the first kind.

6.Worked examples (2)42:04

More worked examples on particle rectilinear motion problems of the first kind.

7.Worked examples (3)35:29

Worked examples on particle rectilinear motion problems of the second kind.

8.Worked examples (4)1:35:28

More worked examples on particle rectilinear motion problems of the second kind.

9.Worked examples (5)42:37

Worked examples on particle rectilinear motion problems of the third kind.

10.Worked examples (6)56:47

More worked examples on particle rectilinear motion problems of the third kind.

11.Worked examples (7)36:09

Worked examples on particle rectilinear motion problems of the 4th kind.

12.Worked examples (8)38:37

More worked examples on particle rectilinear motion problems of the 4th kind.

13.Worked examples (9)23:16

More worked examples on particle rectilinear motion problems.

14.Worked examples (10)24:52

More worked examples on particle rectilinear motion problems.

Special Rectilinear Motion (1)

Analysis of rectilinear motion with constant acceleration - uniform motion and uniformly-accelerated motion; graphical analysis of erratic motion problems.

Chapter lessons

1.Uniform acceleration32:04

Meaning of uniformly-accelerated motion and its implications.

2.Uniform velocity8:24

Meaning of uniform motion and its implications.

3.Erratic motion31:29

Meaning of erratic motion and its implications.

4.Worked examples (1)25:03

Worked examples on uniformly-accelerated motion problems.

5.Worked examples (2)32:51

More worked examples on uniformly-accelerated motion problems.

6.Worked examples (3)33:31

Worked examples on uniform motion problems.

7.Worked examples (4)42:49

More worked examples on uniform motion problems.

8.Worked examples (5)1:08:55

Worked examples on graphical solution of erratic motion problems.

9.Worked examples (6)51:28

More worked examples on graphical solution of erratic motion problems.

Special Rectilinear Motion (2)

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

Chapter lessons

1.Relative motion34:18

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

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.

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.

4.Worked examples (1)48:17

Worked examples on rectilinear relative motion analysis.

5.Worked examples (2)1:28:02

More worked examples on rectilinear relative motion analysis.

6.Worked examples (3)58:50

Worked examples on dependent motion analysis with aligned cables.

7.Worked examples (4)56:39

More worked examples on dependent motion analysis with aligned cables.

8.Worked examples (5)27:50

Worked examples on dependent motion analysis with unaligned cables.

9.Worked examples (6)47:20

More worked examples on dependent motion analysis with unaligned cables.

Curvilinear Motion (1)

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

Chapter lessons

1.Curvilinear motion35:20

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

2.Rectangular components20:58

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

3.Projectile motion38:13

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

4.Worked examples (1)14:26

Worked examples on general curvilinear motion concepts.

5.Worked examples (2)17:25

More worked examples on general curvilinear motion concepts.

6.Worked examples (3)37:12

Worked examples on curvilinear motion in rectangular coordinates.

7.Worked examples (4)14:45

More worked examples on curvilinear motion in rectangular coordinates.

8.Worked examples (5)34:01

Worked examples on curvilinear motion in rectangular coordinates involving algebraic relations.

9.Worked examples (6)31:24

More worked examples on curvilinear motion in rectangular coordinates involving algebraic relations.

10.Worked examples (7)25:00

Worked examples on curvilinear motion in rectangular coordinates involving projectiles.

11.Worked examples (8)45:19

More worked examples on curvilinear motion in rectangular coordinates involving projectiles.

12.Worked examples (9)39:29

More worked examples on curvilinear motion in rectangular coordinates involving projectiles.

13.Worked examples (10)25:01

More worked examples on curvilinear motion in rectangular coordinates involving projectiles.

Curvilinear Motion (2)

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

Chapter lessons

1.Normal and tangential components1:27:25

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.

2.Worked examples (1)51:24

Worked examples on particle curvilinear motion problems using components normal and tangential to the trajectory of motion.

3.Worked examples (2)1:15:08

More worked examples on particle curvilinear motion problems using components normal and tangential to the trajectory of motion.

4.Worked examples (3)59:38

More worked examples on particle curvilinear motion problems using components normal and tangential to the trajectory of motion.

5.Worked examples (4)33:34

More worked examples on particle curvilinear motion problems using components normal and tangential to the trajectory of motion.

6.Worked examples (5)31:21

More worked examples on particle curvilinear motion problems using components normal and tangential to the trajectory of motion.

7.Worked examples (6)20:58

More worked examples on particle curvilinear motion problems using components normal and tangential to the trajectory of motion.

Curvilinear Motion (3)

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

Chapter lessons

1.Radial and transverse components34:36

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

2.Worked examples (1)33:41

Worked examples on particle curvilinear motion problems using radial and transverse (polar) components.

3.Worked examples (2)44:05