Kinetics of Particles by Energy and Momentum Methods - Engineering Mechanics (Dynamics)

Analysis of motion of a particle with respect to the forces causing the motion by work-energy and impulse-momentum principles.

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This course is also part of the following learning tracks. You may join a track to gain comprehensive knowledge across related courses.
[OAU, Ife] MEE 206: Engineering Mechanics II (Dynamics)
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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.

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.

[UNILAG, Akoka] MEG 224: Engineering Mechanics (Dynamics)
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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 University of Lagos, Akoka, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.

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 University of Lagos, Akoka, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.

Course Chapters

1
Introduction

Welcome to the course and course outline. Review of kinematics and kinetics of particles concepts.

Chapter lessons

1.Welcome11:18

Welcome to the course, course outline and references.

2.Kinematics of particles16:59

Review of the fundamental concepts of kinematics of particles.

3.Kinetics of particles12:24

Review of the fundamental concepts of kinetics of particles - Newton's second law.

4.Energy and momentum methods8:48

Motivation for energy and momentum methods for the analysis of kinetics of particles.

2
Work

Definition of work. Determining the work done by a force under various conditions.

Chapter lessons

1.Definition21:46

When is a force said to do work on a particle? What are the different formulas for calculating the work of a force?

2.Work of a variable force9:53

Calculating work done by a variable force.

3.Work of a constant force7:24

Calculating the work done by a force of constant magnitude and direction in rectilinear motion.

4.Work of a weight8:05

Calculating the work done by a weight.

5.Work of a spring force14:20

Calculating the work done to stretch or compress a spring.

6.Work of gravitational force10:17

Calculating the work done by the gravitational force of attraction between any two bodies in the universe.

7.Zero-work forces7:15

Identifying forces that do no work.

8.Worked examples (1)13:09

Worked examples on calculating the work of a force.

3
Work and Energy

Analysis of motion of a particle by relating the kinetic energy of the body with work done by the external forces acting on it.

Chapter lessons

1.Work and kinetic energy15:25

Relation between work done by a force and the change in kinetic energy of the body it works on.

2.Procedure5:55

General procedure for analysis of motion of a particle by relating their kinetic energy with the work done by the external forces acting on it.

3.Worked examples (1)14:21

Worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

4.Worked examples (2)21:52

More worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

5.Worked examples (3)15:01

More worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

6.Worked examples (4)22:53

More worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

7.Worked examples (5)32:22

More worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

8.Worked examples (6)16:36

More worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

9.Worked examples (7)41:17

More worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

10.Worked examples (8)20:43

More worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

11.Worked examples (9)36:25

More worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

12.Worked examples (10)21:57

More worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

13.Worked examples (11)55:52

More worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

14.Worked examples (12)30:12

More worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

15.Worked examples (13)36:11

More worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

16.Worked examples (14)31:19

More worked examples on analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

4
Power and Efficiency

Determining instantaneous power, average power, and efficiency of a force by the principle of work and energy.

Chapter lessons

1.Power16:40

Instantaneous and average power generated by a force when it does a work.

2.Efficiency15:06

Calculating the efficiency of a machine.

3.Worked examples (1)13:25

Worked examples on calculating power and efficiency of a machine by the principle of work and energy.

4.Worked examples (2)20:55

More worked examples on calculating power and efficiency of a machine by the principle of work and energy.

5.Worked examples (3)11:06

More worked examples on calculating power and efficiency of a machine by the principle of work and energy.

6.Worked examples (4)13:18

More worked examples on calculating power and efficiency of a machine by the principle of work and energy.

7.Worked examples (5)44:13

More worked examples on calculating power and efficiency of a machine by the principle of work and energy.

5
Conservation of Energy

Analysis of motion of particles under conservative forces by considering the conservation of mechanical energy in the system.

Chapter lessons

1.Potential energy20:11

Meaning of energy, potential energy and an introduction to conservative forces.

2.Conservative forces26:20

A closer look at conservative forces and their properties.

3.Principle of conservation of energy8:43

Conditions under which mechanical energy is conserved - their implications and equations.

4.Procedure8:01

General analysis procedure for motion of particles under conservative forces by considering the conservation of mechanical energy in the system.

5.Worked examples (1)17:33

Worked examples on analysis of motion of particles under conservative forces by considering the conservation of mechanical energy in the system.

6.Worked examples (2)27:36

More worked examples on analysis of motion of particles under conservative forces by considering the conservation of mechanical energy in the system.

7.Worked examples (3)20:34

More worked examples on analysis of motion of particles under conservative forces by considering the conservation of mechanical energy in the system.

8.Worked examples (4)17:36

More worked examples on analysis of motion of particles under conservative forces by considering the conservation of mechanical energy in the system.

9.Worked examples (5)22:56

More worked examples on analysis of motion of particles under conservative forces by considering the conservation of mechanical energy in the system.

10.Worked examples (6)41:20

More worked examples on analysis of motion of particles under conservative forces by considering the conservation of mechanical energy in the system.

11.Worked examples (7)35:19

More worked examples on analysis of motion of particles under conservative forces by considering the conservation of mechanical energy in the system.

12.Worked examples (8)27:30

More worked examples on analysis of motion of particles under conservative forces by considering the conservation of mechanical energy in the system.

13.Worked examples (9)24:09

More worked examples on analysis of motion of particles under conservative forces by considering the conservation of mechanical energy in the system.

14.Worked examples (10)27:02

More worked examples on analysis of motion of particles under conservative forces by considering the conservation of mechanical energy in the system.

6
Linear Impulse and Momentum

Analysis of motion of particles by relating the linear momentum of the body with the impulse of the forces applied on it.

Chapter lessons

1.Linear impulse and momentum

Definition and evaluation of linear impulse and momentum vectors.

2.Linear impulse-momentum principle

Relation between the linear momentum of a particle and the impulse of forces acting on it.

3.Conservation of linear momentum

Conditions under which linear momentum is conserved, and its implications.

4.Impulsive forces and motion

Meaning of impulsive forces and motion, and how to identify impulsive and non-impulsive forces.

5.Procedure

General analysis procedure for kinetics of particles by relating the linear momentum of the body with the impulse of the forces acting on it.

6.Worked examples (1)

Worked examples on analysis of motion of particles by relating the linear momentum of the body with the impulse of the forces applied on it.

7.Worked examples (2)

More worked examples on analysis of motion of particles by relating the linear momentum of the body with the impulse of the forces applied on it.

8.Worked examples (3)

More worked examples on analysis of motion of particles by relating the linear momentum of the body with the impulse of the forces applied on it.

9.Worked examples (4)

More worked examples on analysis of motion of particles by relating the linear momentum of the body with the impulse of the forces applied on it.

10.Worked examples (5)

More worked examples on analysis of motion of particles by relating the linear momentum of the body with the impulse of the forces applied on it.

11.Worked examples (6)

More worked examples on analysis of motion of particles by relating the linear momentum of the body with the impulse of the forces applied on it.

12.Worked examples (7)

More worked examples on analysis of motion of particles by relating the linear momentum of the body with the impulse of the forces applied on it.

7
Impact

A study of collision of particles and their motion before and after collision.

Chapter lessons

1.Definition

Meaning of impact; types of impact based on the orientation of line of impact.

2.Coefficient of restitution

Meaning and determination of the coefficient of restitution; types of impact based on the value of the value of coefficient of restitution.

3.Worked examples (1)

Worked examples on the collision of particles and their motion before and after collision.

4.Worked examples (2)

More worked examples on the collision of particles and their motion before and after collision.

5.Worked examples (3)

More worked examples on the collision of particles and their motion before and after collision.

8
Angular Impulse and Momentum

Introduction to angular momentum, relation between angular momentum and moment of a force, principle of angular impulse and momentum, conservation of angular momentum.

Chapter lessons

1.Definition

Meaning, scalar and vector formulations of angular momentum.

2.Moment of a force and angular momentum

Relationship between the moment of a force and the angular moment of the particle on which it acts.

3.Angular impulse and momentum

Principle of angular impulse and momentum.

4.Conservation of angular momentum

Principle of conservation of angular momentum of a particle.

5.Worked examples (1)

Worked examples on angular impulse and momentum principle, and conservation of angular momentum.

6.Worked examples (2)

More worked examples on angular impulse and momentum principle, and conservation of angular momentum.