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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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

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

Chapter lessons

1.Welcome

Welcome to the course, course outline and references.

2.Kinematics of particles

Review of the fundamental concepts of kinematics of particles.

3.Kinetics of particles

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

4.Energy and momentum methods

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

Work

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

Chapter lessons

1.Definition

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 constant force

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

3.Work of a weight

Calculating the work done by a weight.

4.Work of a spring force

Calculating the work done to stretch or compress a spring.

5.Work of gravitational force

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

6.Work of sliding friction

Calculating work done by sliding friction force.

7.Worked examples (1)

Worked examples on calculating the work of a force.

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 energy

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

2.Equations of motion

Equations of motion and procedure for analysis of motion of particles by relating the kinetic energy of the body with the work done by forces applied on them.

3.Worked examples (1)

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)

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)

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.

Power and Efficiency

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

Chapter lessons

1.Power

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

2.Efficiency

Calculating the efficiency of a machine.

3.Worked examples (1)

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

4.Worked examples (2)

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

Conservation of Energy

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

Chapter lessons

1.Conservative forces (1)

Meaning of conservative force and its relation to energy, potential energy.

2.Conservative forces (2)

Examples of conservative forces - weight and spring force - and their potential energies.

3.Conservation of mechanical energy

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

4.Equations of motion

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

5.Worked examples (1)

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)

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)

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

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 momentum and impulse

Meaning of impulse and momentum vectors, and their relation by the Newton's second law of motion.

2.Conservation of linear momentum

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

3.Equations of motion

Equations of motion and procedure for analysis of motion of particles by relating the linear momentum of the body with the impulse of the forces applied on it.

4.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.

5.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.

6.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.

Systems of Particles (1)

Work-energy and impulse-momentum principles, and conservation of linear momentum for systems of particles.

No lesson yet.

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.

Angular Momentum

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

No lesson yet.

Systems of Particles (2)

Angular impulse and momentum principle and conservation of angular momentum for a system of particles.

No lesson yet.