Theory of Machines Topics - GATE ME Syllabus

1

Displacement

Kinematic analysis of mechanisms - position.

1m3/10

📌 Key FormulaVector loop closure

2

Velocity analysis of plane mechanisms

Instantaneous velocity using graphical or analytical methods.

1m4/10

📌 Key FormulaV = ω × r

3

Acceleration analysis of plane mechanisms

Tangential and centripetal acceleration components.

1m4/10

📌 Key Formulaa^t = α r, a^n = ω² r

4

Dynamic analysis of linkages

Force analysis using Newton or energy methods.

1m4/10

📌 Key FormulaInertia force = -m a_G

5

Cams

Cam profile design and follower motion.

1m4/10

📌 Key FormulaDisplacement diagrams

6

Gears

Gear terminology, law of gearing, involute profile.

1m3/10

📌 Key FormulaVelocity ratio = T2/T1

7

Gear trains

Simple, compound, epicyclic gear trains.

2m4/10

📌 Key FormulaTrain value, tabular method for epicyclic

8

Flywheels

Energy storage to reduce speed fluctuation.

1m3/10

📌 Key FormulaI = m k², ΔE = I ω_mean² Cs

9

Governors

Speed control devices like Watt, Porter, Hartnell.

1m4/10

📌 Key FormulaSensitivity, isochronism

10

Balancing of reciprocating and rotating masses

Static and dynamic balancing.

2m4/10

📌 Key Formulam r ω² vectors

11

Gyroscope

Gyroscopic couple and effects.

1m4/10

📌 Key FormulaC = I ω ω_p