2D Kinematics of Rigid Bodies - Engineering Mechanics (Dynamics)

In this course, you will learn the fundamentals of two-dimensional kinematics of rigid bodies, which is the branch of mechanics that deals with the geometry of the motion of rigid bodies without considering the forces that cause it. You will learn how to use different coordinate systems and reference frames to express the position, velocity, and acceleration of various points on a rigid body in plane motion. Empower yourself with the knowledge and skills needed to excel in diverse fields such as mechanical engineering, robotics, aerospace engineering, and beyond. Imagine designing a robotic arm that moves with precision, or optimizing the performance of a rotating machinery. These are some of the countless applications of rigid-body kinematics you will learn in this course. By the end of this course, you will be able to: - Understand the rotation of rigid bodies about fixed axes and its applications - Analyze absolute motion to understand how rigid bodies move through space - Explore relative velocity analysis to solve complex motion problems - Master the concept of instantaneous centres of rotation for precise motion analysis - Understand relative acceleration analysis to predict the behavior of moving bodies - Analyze motion relative to a rotating frame to unravel the dynamics of rotating systems Whether you're a seasoned professional looking to expand your knowledge or a curious beginner eager to explore the motion of rigid bodies, this course is for you. 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.

36

40 hrs

$ 11.43

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)
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.

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

1
Introduction

Meaning of rigid bodies; different kinds of motion undergone by rigid bodies.

Chapter lessons

1.Welcome26:14

Welcome and course outline.

2.Rigid bodies20:58

Meaning of rigid bodies, in contrast to particles; identifying rigid-body problems.

3.Rigid-body motion (1)22:34

Overview of different kinds of rigid-body motion.

4.Rigid-body motion (2)17:50

Overview of different kinds of rigid-body motion.

5.Rigid-body motion (3)21:49

Overview of different kinds of rigid-body motion.

6.Rigid-body motion (4)4:44

Overview of different kinds of rigid-body motion.

7.Rigid-body motion (5)4:49

Overview of different kinds of rigid-body motion.

2
Rotation About a Fixed Axis (1)

Kinematics of angular motion of a rigid body (or a line on a rigid body) undergoing rotation about a fixed axis.

Chapter lessons

1.Angular displacement17:05

Angular motion parameters for a rigid body rotating about a fixed axis - angular position and displacement.

2.Angular velocity6:45

Angular motion parameters for a rigid body rotating about a fixed axis - angular velocity.

3.Angular acceleration5:59

Angular motion parameters for a rigid body rotating about a fixed axis - angular acceleration.

4.Differential relations6:03

Angular motion parameters for a rigid body rotating about a fixed axis - differential relations.

5.Constant angular acceleration13:33

Equations of angular motion of a rigid body undergoing rotation about a fixed axis when its angular acceleration is constant.

6.Worked examples (1)31:23

Worked examples on angular motion of a rigid body undergoing rotation about a fixed axis.

7.Worked examples (2)30:32

More worked examples on angular motion of a rigid body undergoing rotation about a fixed axis.

8.Worked examples (3)14:53

More worked examples on angular motion of a rigid body undergoing rotation about a fixed axis.

9.Worked examples (4)17:29

More worked examples on angular motion of a rigid body undergoing rotation about a fixed axis.

10.Worked examples (5)16:34

More worked examples on angular motion of a rigid body undergoing rotation about a fixed axis.

11.Worked examples (6)5:17

More worked examples on angular motion of a rigid body undergoing rotation about a fixed axis.

12.Worked examples (7)11:07

More worked examples on angular motion of a rigid body undergoing rotation about a fixed axis.

13.Worked examples (8)13:15

More worked examples on angular motion of a rigid body undergoing rotation about a fixed axis.

3
Rotation About a Fixed Axis (2)

Kinematics of curvilinear motion of a point on a rigid body undergoing rotation about a fixed axis, and its applications in gears, pulleys, etc.

Chapter lessons

1.Scalar equations20:01

Scalar equations of motion of a point on a rigid body undergoing rotation about a fixed axis.

2.Vector equations34:10

Scalar equations of motion of a point on a rigid body undergoing rotation about a fixed axis.

3.Applications18:36

Applications of the motion of a point on a rigid body undergoing rotation about a fixed axis - gears, pulleys and their connections.

4.Worked examples (1)11:10

Worked examples on the motion of a point on a rigid body undergoing rotation about a fixed axis and its applications.

5.Worked examples (2)25:40

More worked examples on the motion of a point on a rigid body undergoing rotation about a fixed axis and its applications.

6.Worked examples (3)17:15

More worked examples on the motion of a point on a rigid body undergoing rotation about a fixed axis and its applications.

7.Worked examples (4)38:39

More worked examples on the motion of a point on a rigid body undergoing rotation about a fixed axis and its applications.

8.Worked examples (5)29:50

More worked examples on the motion of a point on a rigid body undergoing rotation about a fixed axis and its applications.

9.Worked examples (6)12:54

More worked examples on the motion of a point on a rigid body undergoing rotation about a fixed axis and its applications.

10.Worked examples (7)11:58

More worked examples on the motion of a point on a rigid body undergoing rotation about a fixed axis and its applications.

4
Absolute Motion Analysis

Kinematics of general plane motion of rigid bodies by relating the angular motion of a line to the motion of a point on the same rigid body or different rigid bodies with dependent motion.

Chapter lessons

1.Procedure22:31

General analysis procedure for kinematics of general plane motion of rigid bodies by relating the angular motion of a line to the motion of a point on the same rigid body or different rigid bodies with dependent motion.

2.Worked examples (1)1:07:37

Worked examples on kinematics of general plane motion of rigid bodies by relating the angular motion of a line to the motion of a point on the same rigid body or different rigid bodies with dependent motion.

3.Worked examples (2)53:44

More worked examples on kinematics of general plane motion of rigid bodies by relating the angular motion of a line to the motion of a point on the same rigid body or different rigid bodies with dependent motion.

4.Worked examples (3)29:00

More worked examples on kinematics of general plane motion of rigid bodies by relating the angular motion of a line to the motion of a point on the same rigid body or different rigid bodies with dependent motion.

5.Worked examples (4)39:32

More worked examples on kinematics of general plane motion of rigid bodies by relating the angular motion of a line to the motion of a point on the same rigid body or different rigid bodies with dependent motion.

6.Worked examples (5)29:51

More worked examples on kinematics of general plane motion of rigid bodies by relating the angular motion of a line to the motion of a point on the same rigid body or different rigid bodies with dependent motion.

7.Worked examples (6)49:55

More worked examples on kinematics of general plane motion of rigid bodies by relating the angular motion of a line to the motion of a point on the same rigid body or different rigid bodies with dependent motion.

8.Worked examples (7)18:32

More worked examples on kinematics of general plane motion of rigid bodies by relating the angular motion of a line to the motion of a point on the same rigid body or different rigid bodies with dependent motion.

9.Worked examples (8)41:32

More worked examples on kinematics of general plane motion of rigid bodies by relating the angular motion of a line to the motion of a point on the same rigid body or different rigid bodies with dependent motion.

10.Worked examples (9)19:02

More worked examples on kinematics of general plane motion of rigid bodies by relating the angular motion of a line to the motion of a point on the same rigid body or different rigid bodies with dependent motion.

5
Relative Velocity Analysis

Kinematics of motion of a rigid body undergoing general plane motion using the velocity of a point relative to another point on the same rigid body.

Chapter lessons

1.Procedure35:31

General procedure for kinematics of motion of a rigid body undergoing general plane motion using the velocity of a point relative to another point on the same rigid body.

2.Worked examples (1)18:39

Worked examples on kinematics of motion of a rigid body undergoing general plane motion using the velocity of a point relative to another point on the same rigid body.

3.Worked examples (2)31:09

More worked examples on kinematics of motion of a rigid body undergoing general plane motion using the velocity of a point relative to another point on the same rigid body.

4.Worked examples (3)39:16

More worked examples on kinematics of motion of a rigid body undergoing general plane motion using the velocity of a point relative to another point on the same rigid body.

5.Worked examples (4)41:28

More worked examples on kinematics of motion of a rigid body undergoing general plane motion using the velocity of a point relative to another point on the same rigid body.

6.Worked examples (5)1:19:15

More worked examples on kinematics of motion of a rigid body undergoing general plane motion using the velocity of a point relative to another point on the same rigid body.

7.Worked examples (6)1:15:56

More worked examples on kinematics of motion of a rigid body undergoing general plane motion using the velocity of a point relative to another point on the same rigid body.

8.Worked examples (7)46:38

More worked examples on kinematics of motion of a rigid body undergoing general plane motion using the velocity of a point relative to another point on the same rigid body.

9.Worked examples (8)46:18

More worked examples on kinematics of motion of a rigid body undergoing general plane motion using the velocity of a point relative to another point on the same rigid body.

6
Instantaneous Centre of Rotation

Analysis of motion of a rigid body undergoing general plane motion by locating an instantaneous centre of zero velocity.

Chapter lessons

1.Procedure19:10

General procedure for analysis of motion of a rigid body undergoing general plane motion by locating an instantaneous centre of zero velocity.

2.Worked examples (1)34:46

Worked examples on analysis of motion of a rigid body undergoing general plane motion by locating an instantaneous centre of zero velocity.

3.Worked examples (2)29:17

More worked examples on analysis of motion of a rigid body undergoing general plane motion by locating an instantaneous centre of zero velocity.

4.Worked examples (3)36:21

More worked examples on analysis of motion of a rigid body undergoing general plane motion by locating an instantaneous centre of zero velocity.

5.Worked examples (4)35:01

More worked examples on analysis of motion of a rigid body undergoing general plane motion by locating an instantaneous centre of zero velocity.

7
Relative Acceleration Analysis

Acceleration analysis of the motion of a rigid body undergoing general plane motion using the acceleration of a point relative to another point on the same rigid body.

Chapter lessons

1.Procedure29:39

General procedure for acceleration analysis of the motion of a rigid body undergoing general plane motion using the acceleration of a point relative to another point on the same rigid body.

2.Worked examples (1)44:23

Worked examples on acceleration analysis of the motion of a rigid body undergoing general plane motion using the acceleration of a point relative to another point on the same rigid body.

3.Worked examples (2)47:12

More worked examples on acceleration analysis of the motion of a rigid body undergoing general plane motion using the acceleration of a point relative to another point on the same rigid body.

4.Worked examples (3)49:34

More worked examples on acceleration analysis of the motion of a rigid body undergoing general plane motion using the acceleration of a point relative to another point on the same rigid body.

5.Worked examples (4)44:01

More worked examples on acceleration analysis of the motion of a rigid body undergoing general plane motion using the acceleration of a point relative to another point on the same rigid body.

8
Motion Relative to a Rotating Frame

Kinematics of motion of a rigid body undergoing general plane motion using parameters measured relative to a reference frame in rotation.

Chapter lessons

1.Rate of change of a vector45:18

What is the rate of change of a vector defined in a rotating frame of reference, as observed from a fixed frame of reference?

2.Velocity and acceleration30:19

Velocity and acceleration of a point on a rigid body, measured relative to a frame in rotation.

3.Worked examples (1)38:13

Worked examples on kinematics of motion of a rigid body undergoing general plane motion using parameters measured relative to a reference frame in rotation.

4.Worked examples (2)38:30

More worked examples on kinematics of motion of a rigid body undergoing general plane motion using parameters measured relative to a reference frame in rotation.

5.Worked examples (3)56:54

More worked examples on kinematics of motion of a rigid body undergoing general plane motion using parameters measured relative to a reference frame in rotation.

6.Worked examples (4)40:15

More worked examples on kinematics of motion of a rigid body undergoing general plane motion using parameters measured relative to a reference frame in rotation.

7.Worked examples (5)54:36

More worked examples on kinematics of motion of a rigid body undergoing general plane motion using parameters measured relative to a reference frame in rotation.