🧩 Unit 1: Introduction & Basic Concepts
5️⃣ Characteristics of a force (line of action, magnitude, direction)
6️⃣ Principle of transmissibility of forces
7️⃣ Resolution and composition of forces
8️⃣ Resultant force – parallelogram, triangle & polygon law
9️⃣ Free body diagram (FBD)
⚖️ Unit 2: Equilibrium of Forces
1️⃣ Conditions for equilibrium of a particle
2️⃣ Conditions for equilibrium of rigid bodies in 2D
3️⃣ Lami’s theorem
4️⃣ Moments and couples – moment of a force about a point & axis
5️⃣ Varignon’s theorem
6️⃣ Support reactions for simple beams (simply supported, cantilever)
7️⃣ Equilibrium of beams under different loads
📐 Unit 3: Centroid, Centre of Gravity & Moment of Inertia
1️⃣ Centroid of simple plane figures (rectangle, triangle, circle, semicircle)
2️⃣ Centroid of composite plane figures
3️⃣ Centre of gravity of 3D bodies (cylinder, cone, sphere)
4️⃣ Moment of inertia (M.I.) of plane areas
5️⃣ Parallel axis & perpendicular axis theorems
6️⃣ Radius of gyration
7️⃣ Polar moment of inertia
8️⃣ Moment of inertia of composite sections
🧱 Unit 4: Friction
1️⃣ Types of friction (static & kinetic)
2️⃣ Laws of dry friction
3️⃣ Limiting friction and coefficient of friction
4️⃣ Angle of friction and angle of repose
5️⃣ Equilibrium of bodies on rough horizontal and inclined planes
6️⃣ Ladder friction problems
7️⃣ Wedge friction problems
8️⃣ Belt and rope friction (advanced level)
🚀 Unit 5: Kinematics of Particles & Rigid Bodies
1️⃣ Rectilinear motion – velocity, acceleration, equations of motion
2️⃣ Curvilinear motion – projectile motion on horizontal and inclined planes
3️⃣ Relative motion of particles
4️⃣ Rotation of rigid bodies about a fixed axis
5️⃣ Instantaneous centre of rotation
⚙️ Unit 6: Kinetics of Particles & Rigid Bodies
1️⃣ Newton’s laws of motion for particles and rigid bodies
2️⃣ D’Alembert’s principle
3️⃣ Work-energy principle
4️⃣ Impulse and momentum
5️⃣ Conservation of energy and momentum
6️⃣ Impact of bodies – elastic & inelastic collisions
🧰 Unit 7: Virtual Work & Simple Machines
1️⃣ Principle of virtual work
2️⃣ Application of virtual work to equilibrium problems
3️⃣ Simple machines – mechanical advantage, velocity ratio, efficiency
4️⃣ Law of machine and reversibility of machine
5️⃣ Levers and systems of pulleys
6️⃣ Screw jack
7️⃣ Wheel and axle
8️⃣ Worm and worm wheel
