Key takeaways
- Original Uncodemy revision notes in 9 units plus a practice question list.
- Worked examples on flat belt power and flywheel moment of inertia.
- Gear trains, belts, flywheels and governors are formula-based and easy to score.
- Not official university notes. Check your own syllabus; many universities split this into Kinematics and Dynamics of Machines.
- Free download after a short form.
About these Theory of Machines notes
These are original Uncodemy revision notes for Theory of Machines, 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.
The notes cover both the kinematics part (mechanisms, cams, gears) and the dynamics part (flywheels, governors, balancing, gyroscope), so mark the units your paper includes.
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 Theory of Machines 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: Mechanisms and Machines
- Types of pairs: lower and higher pairs and kinematic chains.
- Degrees of freedom: Grubler's criterion and Grashof's law for a four-bar chain.
- Inversions: four-bar, single slider-crank and double slider-crank inversions.
Unit 2: Velocity and Acceleration Analysis
- Instantaneous centres: number of ICs and Kennedy's theorem.
- Relative velocity and acceleration: diagrams for common mechanisms and Coriolis acceleration.
Unit 3: Cams and Followers
- Cam and follower types: terms such as base circle, pressure angle and lift.
- Follower motions: uniform velocity, SHM, uniform acceleration and cycloidal motion.
Unit 4: Gears
- Gear terms and law of gearing: module, pitch, addendum and pressure angle.
- Involute and cycloidal teeth: comparison, path of contact and interference.
Unit 5: Gear Trains
- Simple, compound and reverted trains: speed ratio from tooth numbers.
- Epicyclic trains: the tabular method.
Unit 6: Belts, Ropes and Chains
- Belt tension ratio: the e to the mu theta relation and centrifugal tension.
- Maximum power: the condition for maximum power transmission.
Unit 7: Flywheel and Turning Moment
- Turning moment diagrams: fluctuation of energy and speed, and flywheel size.
Unit 8: Governors
- Watt, Porter and Hartnell governors: height and speed relations.
- Governor terms: sensitiveness, stability, isochronism and hunting.
Unit 9: Balancing and Gyroscope
- Balancing: rotating and reciprocating masses.
- Gyroscope: gyroscopic couple and its effect on ships, aircraft and vehicles.
- Brakes and dynamometers: short notes on types.
How to revise Theory of Machines
Theory of Machines needs drawing practice and formula practice in equal measure.
- Practise graphical methods: velocity diagrams and cam profiles need a scale, compass and practice.
- Keep a formula card: Grubler, number of ICs, belt tension ratio, flywheel and governor formulas.
- Use the tabular method for epicyclic trains: it is quick and examiners can follow it.
- Work in radians: belt and cam formulas need angles in radians.
- Redo the worked numericals: belt and flywheel examples are typical exam questions.
Exam focus: high-weightage Theory of Machines topics
These topics are common across syllabi:
- Degrees of freedom with Grubler's criterion and inversions.
- Instantaneous centres, Kennedy's theorem and Coriolis acceleration.
- Cam profiles for given follower motions.
- Law of gearing, interference and epicyclic gear trains.
- Belt tension ratio and maximum power, flywheels and governors.
- Balancing and gyroscopic couple.
Typical numericals worked in the notes
- Flat belt with 165 degree lap angle, friction coefficient 0.3, tight side tension 1500 N at 15 m/s: find the power.
- Engine at 300 rpm with 2 percent speed fluctuation and 10 kJ energy fluctuation: find the flywheel moment of inertia.
Check answers with the gear ratio calculator and the belt length calculator.
A 7-day revision plan for Theory of Machines
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 (Mechanisms and Machines), Unit 2 (Velocity and Acceleration Analysis). Read, close the PDF, then write the key formulas and definitions from memory.
- Day 2: Unit 3 (Cams and Followers), Unit 4 (Gears). Read, close the PDF, then write the key formulas and definitions from memory.
- Day 3: Unit 5 (Gear Trains), Unit 6 (Belts, Ropes and Chains). Read, close the PDF, then write the key formulas and definitions from memory.
- Day 4: Unit 7 (Flywheel and Turning Moment), Unit 8 (Governors). Read, close the PDF, then write the key formulas and definitions from memory.
- Day 5: Unit 9 (Balancing and Gyroscope). 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: second- and third-year Mechanical students preparing for Theory of Machines, Kinematics of Machines or Dynamics of Machines papers.
- GATE ME basics: GATE ME theory of machines questions often cover Grubler DOF, instantaneous centres, gear trains, flywheels, governors and gyroscopic couple. 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: design and automotive roles often ask about gear trains, belt drives, flywheels and governors.
- 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 Theory of Machines 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 Theory of Machines Handwritten Notes PDF
Theory of Machines 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.
7 pages · 257 KB · PDF · Updated 5 Nov 2026