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

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

42

37 hrs

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Enrolment valid for 12 months
This course is also part of the following learning tracks. You may join a track to gain comprehensive knowledge across related courses.
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Course Chapters

1. Introduction
4

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

Chapter lessons

1-1. Welcome
11:18

Welcome to the course, course outline and references.

1-2. Kinematics of particles
16:59

Review of the fundamental concepts of kinematics of particles.

1-3. Kinetics of particles
12:24

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

1-4. Energy and momentum methods
8:48

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

2. Work
7
1

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

Chapter lessons

2-1. Definition
21:46

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

2-2. Work of a variable force
9:53

Calculating work done by a variable force.

2-3. Work of a constant force
7:24

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

2-4. Work of a weight
8:05

Calculating the work done by a weight.

2-5. Work of a spring force
14:20

Calculating the work done to stretch or compress a spring.

2-6. Work of gravitational force
10:17

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

2-7. Zero-work forces
7:15

Identifying forces that do no work.

3. Work and Energy
2
16

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

3-1. Work and kinetic energy
15:25

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

3-2. Procedure
5:55

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.

4. Power and Efficiency
2
5

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

Chapter lessons

4-1. Power
16:40

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

4-2. Efficiency
15:06

Calculating the efficiency of a machine.

5. Conservation of Energy
4
11

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

Chapter lessons

5-1. Potential energy
20:11

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

5-2. Conservative forces
26:20

A closer look at conservative forces and their properties.

5-3. Principle of conservation of energy
8:43

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

5-4. Procedure
8:01

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

6. Linear Impulse and Momentum
5
7

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

Chapter lessons

6-1. Linear impulse and momentum
23:38

Definition and evaluation of linear impulse and momentum vectors.

6-2. Linear impulse-momentum principle
13:48

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

6-3. Conservation of linear momentum
8:37

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

6-4. Impulsive forces and motion
17:31

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

6-5. Procedure
12:58

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

7. Impact
5
3

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

Chapter lessons

7-1. Definition
22:15

Meaning of impact; types of impact based on the orientations of line of impact and velocities of the bodies involved.

7-2. Coefficient of restitution
43:25

Meaning and determination of the coefficient of restitution.

7-3. Energy loss
30:48

Determining energy loss for a given impact, and its relationship to the coefficient of restitution. Types of impact based on the value of the value of coefficient of restitution.

7-4. Conservation of linear momentum
31:31

Determining the direction of conservation of linear momentum for the system of bodies in collision.

7-5. Procedure
13:56

General analysis procedure for collision of two bodies - direct and oblique central impacts, with and without motion constraints.

8. Angular Impulse and Momentum
5
8

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

8-1. Definitions
29:40

Meaning, scalar and vector formulations of angular momentum and angular impulse.

8-2. Moment of a force and angular momentum
17:36

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

8-3. Angular impulse-momentum principle
16:50

Principle of angular impulse and momentum.

8-4. Conservation of angular momentum
20:40

Principle of conservation of angular momentum of a particle.

8-5. Procedure
7:51

General procedure for analysis of the curvilinear motion of a particle by angular impulse and momentum principles.