2D Kinematics of Rigid Bodies - Engineering Mechanics (Undergraduate Advanced)

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.

75

42 hrs

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.
[University] Engineering Mechanics - Dynamics
[University] Engineering Mechanics - Dynamics
Master the principles governing the motion of engineering systems. This learning track provides a complete education in dynamics, systematically building from the kinematics of particles to the kinetics of rigid bodies and culminating in an introduction to dynamic systems and vibration. You will learn to analyse and predict how mechanical systems behave under the influence of forces. This programme is for undergraduate students in mechanical, aerospace, civil, or related engineering disciplines. It is also essential for practising engineers and applied scientists who require a rigorous, first-principles command of dynamic analysis for their professional work. A prerequisite knowledge of statics, calculus, and vector algebra is assumed. Upon completion, you will possess the analytical tools to solve complex dynamics problems for particles and rigid bodies using force, energy, and momentum methods. This provides the essential foundation for advanced study in mechanical design, control systems, and structural analysis, and prepares you for demanding technical roles in the engineering sector.

Master the principles governing the motion of engineering systems. This learning track provides a complete education in dynamics, systematically building from the kinematics of particles to the kinetics of rigid bodies and culminating in an introduction to dynamic systems and vibration. You will learn to analyse and predict how mechanical systems behave under the influence of forces. This programme is for undergraduate students in mechanical, aerospace, civil, or related engineering disciplines. It is also essential for practising engineers and applied scientists who require a rigorous, first-principles command of dynamic analysis for their professional work. A prerequisite knowledge of statics, calculus, and vector algebra is assumed. Upon completion, you will possess the analytical tools to solve complex dynamics problems for particles and rigid bodies using force, energy, and momentum methods. This provides the essential foundation for advanced study in mechanical design, control systems, and structural analysis, and prepares you for demanding technical roles in the engineering sector.

Course Chapters

1. Introduction
7

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

Chapter lessons

1-1. Welcome
26:14

Welcome and course outline.

1-2. Rigid bodies
20:58

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

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

Overview of different kinds of rigid-body motion.

1-4. Rigid-body motion (2)
17:50

Overview of different kinds of rigid-body motion.

1-5. Rigid-body motion (3)
21:49

Overview of different kinds of rigid-body motion.

1-6. Rigid-body motion (4)
4:44

Overview of different kinds of rigid-body motion.

1-7. Rigid-body motion (5)
4:49

Overview of different kinds of rigid-body motion.

2. Rotation About a Fixed Axis (1)
5
8

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

Chapter lessons

2-1. Angular displacement
17:05

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

2-2. Angular velocity
6:45

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

2-3. Angular acceleration
5:59

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

2-4. Differential relations
6:03

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

2-5. Constant angular acceleration
13:33

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

3. Rotation About a Fixed Axis (2)
3
9

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

3-1. Scalar equations
20:01

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

3-2. Vector equations
34:10

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

3-3. Applications
18:36

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

4. Absolute Motion Analysis
1
10

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

4-1. Procedure
22:31

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.

5. Relative Velocity Analysis
1
8

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

5-1. Procedure
35:31

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.

6. Instantaneous Centre of Rotation
1
4

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

Chapter lessons

6-1. Procedure
19:10

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

7. Relative Acceleration Analysis
1
4

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

7-1. Procedure
29:39

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.

8. Motion Relative to a Rotating Frame
2
5

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

Chapter lessons

8-1. Rate of change of a vector
45:18

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

8-2. Velocity and acceleration
30:19

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