Statics of Particles - Engineering Mechanics (Statics)

Analysis of systems of concurrent forces in two and three dimensions; equilibrium of particles in two and three dimensions.

47

50 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 205: Engineering Mechanics I (Statics)
MEE 205: Engineering Mechanics I (Statics)
Comprehensive treatise of static equilibrium of particles and rigid bodies, with focus on the stability of machines and structures. 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 static equilibrium of particles and rigid bodies, with focus on the stability of machines and structures. 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

1
Introduction

Introduction to engineering mechanics, fundamental concepts, systems of units and general analysis procedure.

Chapter lessons

1.Welcome13:12

Welcome and course overview.

2.Mechanics31:04

Meaning of mechanics and engineering mechanics.

3.Rigid-body mechanics10:34

Meaning of rigid-body mechanics and its branches - statics and dynamics.

4.Particles and rigid bodies25:25

Meaning of particles and rigid bodies in the context of engineering mechanics.

5.Fundamental concepts (1)19:59

Meaning of space, mass, time and force.

6.Fundamental concepts (2)16:35

The parallelogram law of addition of forces and the principle of transmissibility of forces.

7.Fundamental concepts (3)28:42

Newton's laws of motion.

8.Fundamental concepts (4)16:27

Newton's law of gravitation.

9.Systems of units (1)15:34

Units of measurement of mass, length, time, force, etc., in the S. I. and U. S. customary units.

10.Systems of units (2)23:55

Conversion from one system of unit to another.

11.General procedure34:04

General procedure for solving engineering mechanics problems.

2
Resultant of Forces in a Plane

Force vectors and how to obtain the resultant of two or more forces - using parallelogram and triangle rules.

Chapter lessons

1.Force vectors18:04

Representation of forces using directed line segments.

2.Parallelogram rule37:47

Addition of force vectors using the parallelogram rule.

3.Triangle rule12:35

Addition of force vectors using the triangle rule.

4.Several concurrent forces21:01

Addition of several concurrent forces by successive applications of the parallelogram / triangle rule.

5.Worked examples (1)32:20

Worked examples on resultant of forces in two dimensions.

6.Worked examples (2)26:54

More worked examples on resultant of forces in two dimensions.

7.Worked examples (3)23:05

More worked examples on resultant of forces in two dimensions.

8.Worked examples (4)26:24

More worked examples on resultant of forces in two dimensions.

9.Worked examples (5)19:07

More worked examples on resultant of forces in two dimensions.

10.Worked examples (6)18:05

More worked examples on resultant of forces in two dimensions.

11.Worked examples (7)15:42

More worked examples on resultant of forces in two dimensions.

12.Worked examples (8)13:51

More worked examples on resultant of forces in two dimensions.

13.Worked examples (9)27:37

More worked examples on resultant of forces in two dimensions.

14.Worked examples (10)21:27

More worked examples on resultant of forces in two dimensions.

3
Components of a Force in a Plane

Resolution of a force into its rectangular and non-rectangular components.

Chapter lessons

1.Components30:19

Meaning of components of a force, in general.

2.Rectangular components27:33

Meaning of rectangular components of a force.

3.Worked examples (1)31:09

Worked examples on calculating the components of a force.

4.Worked examples (2)24:32

More worked examples on calculating the components of a force.

5.Worked examples (3)18:00

More worked examples on calculating the components of a force.

6.Worked examples (4)13:05

More worked examples on calculating the components of a force.

7.Worked examples (5)24:43

More worked examples on calculating the components of a force.

8.Worked examples (6)18:03

More worked examples on calculating the components of a force.

4
Resultant by Components in a Plane

Calculating the resultant of several concurrent forces using their rectangular components.

Chapter lessons

1.Procedure12:33

How to find the resultant of several concurrent forces by resolution of each force into rectangular components.

2.Worked examples (1)23:47

Worked examples on calculating the resultant of several concurrent forces by resolution of each force into rectangular components.

3.Worked examples (2)24:26

More worked examples on calculating the resultant of several concurrent forces by resolution of each force into rectangular components.

4.Worked examples (3)25:40

More worked examples on calculating the resultant of several concurrent forces by resolution of each force into rectangular components.

5.Worked examples (4)16:28

More worked examples on calculating the resultant of several concurrent forces by resolution of each force into rectangular components.

6.Worked examples (5)28:09

More worked examples on calculating the resultant of several concurrent forces by resolution of each force into rectangular components.

5
Equilibrium in a Plane

Equilibrium of particles under the action of planar forces.

Chapter lessons

1.Condition23:16

Condition for equilibrium of a particle in two dimensions.

2.Procedure29:56

Equations and procedure for analysis of equilibrium of a particle in two dimensions.

3.Worked examples (1)18:50

Worked examples on the equilibrium of a particle in two dimensions.

4.Worked examples (2)18:10

More worked examples on the equilibrium of a particle in two dimensions.

5.Worked examples (3)14:29

More worked examples on the equilibrium of a particle in two dimensions.

6.Worked examples (4)18:56

More worked examples on the equilibrium of a particle in two dimensions.

7.Worked examples (5)32:55

More worked examples on the equilibrium of a particle in two dimensions.

8.Worked examples (6)33:38

More worked examples on the equilibrium of a particle in two dimensions.

9.Worked examples (7)29:54

More worked examples on the equilibrium of a particle in two dimensions.

10.Worked examples (8)15:32

More worked examples on the equilibrium of a particle in two dimensions.

11.Worked examples (9)43:21

More worked examples on the equilibrium of a particle in two dimensions.

12.Worked examples (10)14:54

More worked examples on the equilibrium of a particle in two dimensions.

13.Worked examples (11)17:00

More worked examples on the equilibrium of a particle in two dimensions.

14.Worked examples (12)7:32

More worked examples on the equilibrium of a particle in two dimensions.

15.Worked examples (13)16:26

More worked examples on the equilibrium of a particle in two dimensions.

6
Components of a Force in Space

Determining the components of forces in three dimensions.

Chapter lessons

1.Rectangular components1:01:51

An illustration of the rectangular components of a force and its direction cosines in three dimensions.

2.Magnitude and two angles16:01

How to obtain the components of a force in three dimensions from its magnitude and two angles defining its orientation.

3.Magnitude and two points23:45

How to obtain the components of a force in three dimensions using its magnitude and coordinates of any two distinct points along its line of action.

4.Projections22:47

Review of the scalar or dot product of two vectors; how to obtain the projection (component) of a force to a given direction.

5.Worked examples (1)16:36

Worked examples on resolution of a force in three dimensions into its components.

6.Worked examples (2)20:42

More worked examples on resolution of a force in three dimensions into its components.

7.Worked examples (3)22:36

More worked examples on resolution of a force in three dimensions into its components.

8.Worked examples (4)16:43

More worked examples on resolution of a force in three dimensions into its components.

9.Worked examples (5)19:40

More worked examples on resolution of a force in three dimensions into its components.

10.Worked examples (6)37:03

More worked examples on resolution of a force in three dimensions into its components.

11.Worked examples (7)17:59

More worked examples on resolution of a force in three dimensions into its components.

12.Worked examples (8)11:45

More worked examples on resolution of a force in three dimensions into its components.

13.Worked examples (9)28:16

More worked examples on resolution of a force in three dimensions into its components.

14.Worked examples (10)35:00

More worked examples on resolution of a force in three dimensions into its components.

15.Worked examples (11)33:48

More worked examples on resolution of a force in three dimensions into its components.

16.Worked examples (12)16:22

More worked examples on resolution of a force in three dimensions into its components.

17.Worked examples (13)31:05

More worked examples on resolution of a force in three dimensions into its components.

18.Worked examples (14)32:01

More worked examples on resolution of a force in three dimensions into its components.

19.Worked examples (15)32:10

More worked examples on resolution of a force in three dimensions into its components.

20.Worked examples (16)58:04

More worked examples on resolution of a force in three dimensions into its components.

21.Worked examples (17)18:21

More worked examples on resolution of a force in three dimensions into its components.

22.Worked examples (18)36:02

More worked examples on resolution of a force in three dimensions into its components.

7
Resultant of Forces in Space

Vector addition of force vectors in three dimensions.

Chapter lessons

1.Procedure13:25

Procedure for summing force vectors in three dimensions.

2.Worked examples (1)25:00

Worked examples on addition of vectors in three dimensions.

3.Worked examples (2)23:42

More worked examples on addition of vectors in three dimensions.

4.Worked examples (3)48:11

More worked examples on addition of vectors in three dimensions.

5.Worked examples (4)28:54

More worked examples on addition of vectors in three dimensions.

8
Equilibrium in Space

Equilibrium of particles under the action of three-dimensional forces.

Chapter lessons

1.Condition8:53

Condition for equilibrium of a particle in three dimensions.

2.Worked examples (1)38:38

Worked examples on equilibrium of a particle in three dimensions.

3.Worked examples (2)34:33

More worked examples on equilibrium of a particle in three dimensions.

4.Worked examples (3)51:42

More worked examples on equilibrium of a particle in three dimensions.

5.Worked examples (4)30:22

More worked examples on equilibrium of a particle in three dimensions.

6.Worked examples (5)30:08

More worked examples on equilibrium of a particle in three dimensions.

7.Worked examples (6)35:16

More worked examples on equilibrium of a particle in three dimensions.

8.Worked examples (7)57:01

More worked examples on equilibrium of a particle in three dimensions.

9.Worked examples (8)50:20

More worked examples on equilibrium of a particle in three dimensions.

10.Worked examples (9)48:06

More worked examples on equilibrium of a particle in three dimensions.

11.Worked examples (10)1:00:17

More worked examples on equilibrium of a particle in three dimensions.

12.Worked examples (11)36:17

More worked examples on equilibrium of a particle in three dimensions.

13.Worked examples (12)36:32

More worked examples on equilibrium of a particle in three dimensions.

14.Worked examples (13)30:09

More worked examples on equilibrium of a particle in three dimensions.