- The laws of thermodynamics and their applications
- Properties of pure substances and the steam cycle
- Gas power cycles, refrigeration cycles, and heat transfer


- Fluid properties, fluid statics, and fluid kinematics
- Bernoulli's equation, flow measurement techniques, and flow through pipes
- Boundary layer theory, pumps, and turbines


- Stress and strain analysis, Mohr's circle, and theories of failure
- Bending and torsion of beams, deflection of beams, and columns
- Strain energy, buckling, and stress concentration


- Design of machine elements such as shafts, bearings, gears, and springs
- Design for static and dynamic loading, fatigue, and failure analysis
- Design of power transmission systems and brakes


- Casting, forming, and welding processes
- Machining operations, cutting tools, and tool materials
- Metrology and inspection, quality control, and computer-aided manufacturing


- Work study and time-motion study
- Production planning and control, inventory management, and forecasting
- Facility layout, material handling, and plant location


- Kinematic and dynamic analysis of mechanisms
- Gears, gear trains, and flywheels
- Balancing of rotating and reciprocating masses


- Equilibrium of particles and rigid bodies
- Friction, centroids, and moments of inertia
- Virtual work and kinematics of particles


- Classification, structure, and properties of engineering materials
- Heat treatment, mechanical properties, and testing of materials
- Ferrous and non-ferrous metals, alloys, and composites


- Vehicle dynamics, engine performance, and combustion
- Brakes, suspension, and steering systems
- Transmission systems and safety aspects

These topics cover the major areas of Mechanical Engineering and are essential for competitive exams. It is important to have a thorough understanding of these subjects and their applications. Practice solving numerical problems and work on sample question papers to enhance your problem-solving skills. Additionally, keep yourself updated with the latest developments in the field of mechanical engineering through reading books, journals, and online resources.