Classical Mechanics

1. Applications in Various Fields
   1. Engineering Mechanics
      1. Statics
         1. Equilibrium of Structures
            1. Analysis of Trusses
            2. Analysis of Beams
            3. Support Reactions
            4. Internal Forces
               1. Shear Force Diagrams
               2. Bending Moment Diagrams
         2. Stability of Structures
            1. Buckling of Columns
            2. Factor of Safety
            3. Load-Bearing Capacity
      2. Dynamics
         1. Kinematics of Mechanisms
            1. Velocity and Acceleration Analysis
            2. Linkages and Couplings
         2. Dynamics of Rigid Bodies
            1. Translational and Rotational Dynamics
            2. Energy Methods in Dynamics
         3. Vibrational Analysis
            1. Free and Forced Vibration
            2. Damping and Resonance in Mechanical Systems
   2. Celestial Mechanics
      1. Orbital Mechanics
         1. Two-Body Problem
         2. Perturbations
         3. Transfer Orbits
            1. Hohmann Transfer
            2. Bi-elliptic Transfer
         4. Orbital Maneuvers
            1. Inclination Changes
            2. Rendezvous and Docking
      2. Dynamics of Celestial Bodies
         1. Tidal Forces and Effects
         2. Precession and Nutation
         3. Lagrange Points and Stability
         4. N-Body Problem
            1. Numerical Solutions
            2. Chaos and Stability Analysis
   3. Structural Analysis
      1. Stress and Strain Analysis
         1. Stress-Strain Relationships
            1. Young's Modulus
            2. Poisson's Ratio
         2. Types of Stress
            1. Tensile Stress
            2. Compressive Stress
            3. Shear Stress
         3. Strain Theories
            1. Linear Elasticity
            2. Plasticity
      2. Load Analysis
         1. Dead Loads and Live Loads
         2. Environmental Loads
            1. Wind Loads
            2. Seismic Loads
         3. Load Distribution and Transfer
      3. Advanced Structural Analysis
         1. Finite Element Analysis (FEA)
         2. Computational Methods
         3. Structural Health Monitoring
            1. Damage Detection
            2. Non-Destructive Testing (NDT)
            3. Remote Sensing Technologies
   4. Applications in Other Fields
      1. Biomechanics
         1. Motion Analysis
         2. Forces in Biological Systems
         3. Mechanical Properties of Biological Tissues
      2. Automotive and Aerospace Industries
         1. Vehicle Dynamics
         2. Flight Mechanics
      3. Robotics and Automation
         1. Motion Planning
         2. Control of Robotic Systems
      4. Sports and Human Performance
         1. Analysis of Athletic Movements
         2. Design of Sports Equipment
      5. Energy Systems
         1. Mechanical Analysis in Power Generation
         2. Wind Turbine Dynamics and Stability