Key takeaways
- Original Uncodemy revision notes in 9 units plus a practice question list.
- Worked examples on a weight held by two strings, a block on a rough incline and a projectile.
- Free body diagrams decide most answers. Draw one for every problem.
- Not official university notes. Check your own syllabus before revising.
- Free download after a short form.
About these Engineering Mechanics notes
These are original Uncodemy revision notes for Engineering Mechanics, written by the Uncodemy trainer team in a clean handwritten style. They follow the topics found in the common Indian B.Tech Mechanical syllabus. They are not official university notes, not a textbook and not a copy of any university's material. Unit names, order and depth differ between universities (AKTU, state technical universities and autonomous colleges all use their own scheme), so check your own syllabus and tick the units you need before you start.
Engineering Mechanics is a first-year subject that later supports Strength of Materials, Theory of Machines and Machine Design. The notes keep statics and dynamics in separate units so you can revise them for separate papers if your university splits them.
Each unit has short definitions, key formulas in highlighted boxes, comparison tables, "remember" points and worked examples with the steps shown. A list of commonly asked practice questions closes the notes. These are practice questions based on common syllabus topics, not verified past papers.
What's inside the Engineering Mechanics notes
The PDF has 9 units plus a practice question list. Here is what each unit covers, so you can match it with your syllabus.
Unit 1: Basics and Force Systems
- Types of force systems: coplanar, concurrent, parallel and non-concurrent systems.
- Important laws: parallelogram and triangle laws, transmissibility and Varignon's theorem.
- Moment and couple: moment of a force, couple and resolving a force into a force and a couple.
Unit 2: Equilibrium
- Conditions of equilibrium: the three equations for a coplanar system and free body diagrams.
- Lami's theorem: three concurrent forces in equilibrium, with a two-string example.
- Types of supports: roller, hinge and fixed supports and the reactions each gives.
Unit 3: Friction
- Laws of dry friction: static and kinetic friction, angle of friction and angle of repose.
- Inclined plane: when a block slides and how to find its acceleration.
- Other friction topics: ladder, wedge and belt friction in short.
Unit 4: Trusses
- Perfect truss: the condition m = 2j minus 3 and the assumptions of truss analysis.
- Methods of analysis: method of joints and method of sections.
Unit 5: Centroid and Centre of Gravity
- Standard shapes: centroids of rectangle, triangle, semicircle and quarter circle.
- Composite areas: T, L and I sections and areas with holes by the table method.
Unit 6: Moment of Inertia
- Area moment of inertia: parallel and perpendicular axis theorems and standard sections.
- Mass moment of inertia: rods, discs and spheres about common axes.
Unit 7: Virtual Work
- Principle of virtual work: using virtual displacements to find unknown forces in simple systems.
Unit 8: Kinematics of Particles
- Rectilinear motion: equations of motion with constant acceleration.
- Projectile motion: time of flight, maximum height and range, with a worked example.
- Curvilinear and rotational motion: normal and tangential components and angular motion.
Unit 9: Kinetics of Particles and Rigid Bodies
- Newton's second law and D'Alembert: dynamic equilibrium of moving bodies.
- Energy and momentum methods: work-energy principle, impulse and momentum.
- Collision: coefficient of restitution and direct central impact.
How to revise Engineering Mechanics
Mechanics rewards practice over reading. Use the notes to fix the method, then solve problems.
- Start every problem with a free body diagram: mark all forces, reactions and the friction direction before writing any equation.
- Keep a one-page formula sheet: centroid and moment of inertia of standard shapes, projectile formulas and the truss condition.
- Use tables for composite sections: a column for area, x, y, Ax and Ay keeps centroid work fast and checkable.
- Solve the worked examples again: cover the solution, solve, then compare each step.
- Mix statics and dynamics: alternate units each day so neither half is forgotten before the exam.
Exam focus: high-weightage Engineering Mechanics topics
Most papers have a strong numerical bias. These topics are common across syllabi:
- Lami's theorem and equilibrium of concurrent forces.
- Friction on inclined planes and ladder problems.
- Truss member forces by joints and by sections.
- Centroid and moment of inertia of T, L and I sections.
- Projectile motion, work-energy and impact problems.
Typical numericals worked in the notes
- A 100 N weight hanging from two strings at 30 and 60 degrees: find the tensions.
- A 10 kg block on a 30 degree incline with a friction coefficient of 0.2: will it slide, and what is its acceleration?
- A ball thrown at 20 m/s at 30 degrees: time of flight, maximum height and range.
Check section properties with the moment of inertia calculator and do the trigonometry with the scientific calculator.
A 7-day revision plan for Engineering Mechanics
Use this plan in the week before your exam, after you have studied the subject once in class. Spend about two to three hours a day.
- Day 1: Unit 1 (Basics and Force Systems), Unit 2 (Equilibrium). Read, close the PDF, then write the key formulas and definitions from memory.
- Day 2: Unit 3 (Friction), Unit 4 (Trusses). Read, close the PDF, then write the key formulas and definitions from memory.
- Day 3: Unit 5 (Centroid and Centre of Gravity), Unit 6 (Moment of Inertia). Read, close the PDF, then write the key formulas and definitions from memory.
- Day 4: Unit 7 (Virtual Work), Unit 8 (Kinematics of Particles). Read, close the PDF, then write the key formulas and definitions from memory.
- Day 5: Unit 9 (Kinetics of Particles and Rigid Bodies). Read, close the PDF, then write the key formulas and definitions from memory.
- Day 6: redo every worked example in the notes without looking at the solution, then check each step.
- Day 7: attempt the practice question list at the end of the PDF in exam time, then go back to the units where you got stuck.
Who these notes are for
- B.Tech semester exams: first-year students preparing for Engineering Mechanics or Applied Mechanics theory papers.
- GATE ME basics: engineering mechanics is a regular GATE ME topic; equilibrium, friction, trusses and impact questions build on these basics. The notes cover basics and standard formulas; for GATE you still need a full question bank and previous papers from the official GATE site.
- Interviews: core roles often ask about free body diagrams, friction, centroid and moment of inertia in simple terms.
- Diploma and lateral-entry students: the plain language and worked steps make the units easy to follow, but check which topics are in your own scheme.
How to use these notes with your textbook
These notes are short on purpose. They are meant for revision, not for learning Engineering Mechanics for the first time. Study each unit once from your class notes, a standard textbook or the matching NPTEL course, and then use the PDF to revise quickly. If a topic in your syllabus is missing from the notes, mark it in your syllabus copy and study it from your textbook. If your teacher uses a different method or notation, follow your teacher in the exam. You can also request notes for another subject through the Uncodemy handwritten notes request page.
Download Engineering Mechanics Handwritten Notes PDF
Engineering Mechanics Handwritten Notes PDF
The PDF carries the same content as this page in a clean, print-ready layout, so you can read it offline and keep it for revision.
8 pages · 302 KB · PDF · Updated 5 Nov 2026