Engineering Mechanics Topics - GATE ME Syllabus

1

Free-body diagrams

Isolated body with all external forces shown.

1m2/10

📌 Key FormulaΣF=0, ΣM=0

2

Equilibrium

Conditions for static equilibrium of particles and rigid bodies.

1m3/10

📌 Key FormulaΣFx=0, ΣFy=0, ΣMz=0

3

Friction and its applications including rolling friction, belt-pulley, brakes, clutches, screw jack, wedge, vehicles, etc

Laws of dry friction, impending motion, and applications.

2m4/10

📌 Key FormulaF ≤ μN, rolling resistance

4

Trusses and frames

Analysis of pin-jointed trusses and rigid frames.

1m3/10

📌 Key FormulaMethod of joints/sections

5

Virtual work

Principle of virtual work for equilibrium.

1m4/10

📌 Key FormulaδW = 0 for equilibrium

6

Kinematics and dynamics of rigid bodies in plane motion

Velocity, acceleration, and force analysis for rigid bodies.

1m4/10

📌 Key Formulaa = α × r + ω × (ω × r)

7

Impulses

Impulse-momentum principle.

1m4/10

📌 Key Formula∫F dt = Δ(mv)

8

Momentum (linear and angular)

Conservation in systems without external forces/moments.

1m4/10

📌 Key Formulam v = constant, I ω = constant

9

Energy formulations

Work-energy principle for particles and rigid bodies.

1m3/10

📌 Key FormulaT1 + U1-2 = T2

10

Lagrange’s equation

Generalized coordinates for deriving equations of motion.

1m5/10

📌 Key Formulad/dt (∂L/∂q̇) - ∂L/∂q = Q