Centroids and Centres of Gravity - Engineering Mechanics (Undergraduate Advanced)

Analysis of centroids and moments of inertia.

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.
GET 207: Applied Mechanics
GET 207: Applied Mechanics
Master the non-negotiable principles of Engineering Mechanics. This track delivers a rigorous, complete programme in statics and dynamics, built to the NUC GET 207 core curriculum. It moves methodically from force systems and equilibrium to the kinematics of rigid bodies and the kinetics of particles. This is the foundation of all structural and mechanical analysis. This programme is for first and second-year undergraduate engineering students. It is an essential requirement for students in Mechanical, Civil, Structural, Aerospace, and Mechatronics engineering. A working knowledge of introductory physics and calculus is assumed. On completion, you will be able to analyse and solve complex problems in statics and particle dynamics. You will draw free-body diagrams, apply equilibrium equations, analyse trusses and frames, and solve motion problems using Newton's laws, work-energy, and momentum methods. This programme prepares you for advanced courses, particularly Mechanics of Materials, and future professional engineering practice.

Master the non-negotiable principles of Engineering Mechanics. This track delivers a rigorous, complete programme in statics and dynamics, built to the NUC GET 207 core curriculum. It moves methodically from force systems and equilibrium to the kinematics of rigid bodies and the kinetics of particles. This is the foundation of all structural and mechanical analysis. This programme is for first and second-year undergraduate engineering students. It is an essential requirement for students in Mechanical, Civil, Structural, Aerospace, and Mechatronics engineering. A working knowledge of introductory physics and calculus is assumed. On completion, you will be able to analyse and solve complex problems in statics and particle dynamics. You will draw free-body diagrams, apply equilibrium equations, analyse trusses and frames, and solve motion problems using Newton's laws, work-energy, and momentum methods. This programme prepares you for advanced courses, particularly Mechanics of Materials, and future professional engineering practice.

See more
Engineering Mechanics I - Statics
Engineering Mechanics I - Statics
Statics decides if a structure stands or fails. This track teaches force calculation, support reactions, and equilibrium analysis for stable engineering systems. You will move from particle resolution to full structural modelling. The curriculum delivers the exact mathematical foundation required for real design work. This programme is for first and second-year engineering undergraduates. It suits mechanical, civil, aerospace, and structural students, plus polytechnic learners. You only need basic physics and vector algebra. The sequence provides the precise calculation methods your degree demands. You will finish able to resolve two and three dimensional forces, compute moments and couples, and solve rigid body equilibrium problems. You will calculate truss loads, evaluate friction in screws and belts, locate centres of gravity, and verify systems using virtual work. These results secure high grades in advanced mechanics modules and prepare you for structural design, machine engineering, and civil site roles.

Statics decides if a structure stands or fails. This track teaches force calculation, support reactions, and equilibrium analysis for stable engineering systems. You will move from particle resolution to full structural modelling. The curriculum delivers the exact mathematical foundation required for real design work. This programme is for first and second-year engineering undergraduates. It suits mechanical, civil, aerospace, and structural students, plus polytechnic learners. You only need basic physics and vector algebra. The sequence provides the precise calculation methods your degree demands. You will finish able to resolve two and three dimensional forces, compute moments and couples, and solve rigid body equilibrium problems. You will calculate truss loads, evaluate friction in screws and belts, locate centres of gravity, and verify systems using virtual work. These results secure high grades in advanced mechanics modules and prepare you for structural design, machine engineering, and civil site roles.

See more

Course Chapters

1. Introduction
3
Welcome to the course and definition of terms - centroid, centre of gravity, etc., and their uses.
Concept Overviews
3 Lessons
1:15:16
2. Centroids of Areas
1
Analysis of the centre of gravity (centroid of area) of flat homogenous plates with uniform thickness using those of component areas.
Problem Walkthroughs
1 Lesson
32:25
3. Centroids of Lines
1
Analysis of the centre of gravity (centroid of area) of homogenous wires with uniform cross section using those of component lines.
Problem Walkthroughs
1 Lesson
4. Centroids by Integrations
1
Analysis of centroids of areas and lines by direct integration.
Problem Walkthroughs
1 Lesson
5. Theorems of Pappus-Guldinus
2
Analysis of centroids of uniform plates and wires using the theorems of Pappus-Guldinus.
Problem Walkthroughs
2 Lessons
6. Some Applications
Analysis of distributed loads on beams and forces on submerged surfaces using the techniques of centroids of areas and lines.
7. Centroids of Volumes (1)
Analysis of the centroids of volumes using those of component volumes.
8. Centroids of Volumes (2)
Analysis of the centroids of volumes by direct integration.