Study Newtonian mechanics and motion
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186
Sub Topics
381
MCQs
150
MCOs
257
True/False
152
Fill Blanks
50
Rearrange
137
Matching
81
Comprehensions
132
Flashcard Decks
Curriculum
What You'll Learn
01 Introduction to Classical Mechanics 3 topics
1 Historical Development
- Aristotelian Physics
- Galilean Contributions
- Newtonian Revolution
2 Fundamental Concepts
- Space and Time
- Reference Frames
- Units and Dimensions
3 Mathematical Preliminaries
- Scalars and Vectors
- Coordinate Systems
- Vector Calculus Essentials
02 Kinematics 3 topics
1 One-Dimensional Motion
- Position, Velocity, and Acceleration
- Uniform Motion
- Uniformly Accelerated Motion
- Free Fall
2 Two-Dimensional Motion
- Projectile Motion
- Circular Motion
- Relative Motion
3 Three-Dimensional Motion
- Position and Velocity Vectors
- Acceleration Vector
- Curvilinear Motion
03 Newton's Laws of Motion 5 topics
1 First Law: Principle of Inertia
- Inertial Reference Frames
- Mass and Inertia
2 Second Law: Force and Acceleration
- Force as a Vector
- Equations of Motion
- Weight vs. Mass
3 Third Law: Action and Reaction
- Applications and Examples
4 Common Forces
- Gravitational Force
- Normal Force
- Friction Forces
- Tension
- Spring Forces
5 Applications of Newton's Laws
- Inclined Planes
- Connected Bodies
- Pulleys and Constraints
04 Work and Energy 5 topics
1 Work Done by Forces
- Work by Constant Forces
- Work by Variable Forces
- Work in Vector Form
2 Kinetic Energy
- Theorem of Work and Energy
- Power
3 Potential Energy
- Conservative Forces
- Gravitational Potential Energy
- Elastic Potential Energy
4 Conservation of Energy
- Isolated Systems
- Non-conservative Forces
- Energy Diagrams
5 Collisions
- Elastic Collisions
- Inelastic Collisions
- Coefficient of Restitution
05 Linear Momentum 5 topics
1 Definition and Properties
- Momentum of a Particle
- Momentum of a System of Particles
2 Conservation of Linear Momentum
- Isolated Systems
- External Forces
3 Impulse and Momentum Change
- Impulsive Forces
- Impact Problems
4 Center of Mass
- Definition and Properties
- Motion of the Center of Mass
- Systems with Variable Mass
5 Rocket Propulsion
- Thrust
- Multistage Rockets
06 Rotational Dynamics 5 topics
1 Angular Kinematics
- Angular Position, Velocity, and Acceleration
- Relationships between Linear and Angular Quantities
2 Torque
- Definition and Calculation
- Cross Product Representation
3 Moment of Inertia
- Definition and Calculation
- Parallel Axis Theorem
- Common Shapes and Objects
4 Rotational Energy and Work
- Rotational Kinetic Energy
- Work Done by Torques
5 Rigid Body Dynamics
- Equations of Motion
- Rolling without Slipping
- Combined Translation and Rotation
07 Angular Momentum 4 topics
1 Definition and Properties
- Angular Momentum of a Particle
- Angular Momentum of a System
2 Conservation of Angular Momentum
- Isolated Systems
- Central Forces
3 Gyroscopic Motion
- Precession
- Nutation
4 Angular Impulse
- Impulsive Torques
- Applications
08 Oscillatory Motion 5 topics
1 Simple Harmonic Motion
- Differential Equation
- Energy in SHM
- Examples and Applications
2 Damped Oscillations
- Differential Equation
- Under-damped, Critically Damped, and Over-damped Cases
- Energy Dissipation
3 Forced Oscillations
- Resonance
- Frequency Response
4 Coupled Oscillators
- Normal Modes
- Energy Transfer
5 Pendulum Motion
- Simple Pendulum
- Physical Pendulum
- Conical Pendulum
09 Gravitation 6 topics
1 Newton's Law of Universal Gravitation
- Gravitational Field
- Gravitational Potential
2 Gravitational Potential Energy
- Work Done Against Gravity
- Escape Velocity
3 Orbital Motion
- Kepler's Laws
- Orbital Energy and Angular Momentum
- Types of Orbits
4 Central Force Motion
- Effective Potential
- Orbital Stability
5 Gravitational Fields
- Field of a Spherical Mass Distribution
- Field of Non-spherical Bodies
6 Introduction to General Relativity
- Equivalence Principle
- Curved Spacetime
- Experimental Tests
10 Non-inertial Reference Frames 3 topics
1 Accelerated Reference Frames
- Translational Acceleration
- Fictitious Forces
2 Rotating Reference Frames
- Centrifugal Force
- Coriolis Force
- Euler Force
3 Earth as a Non-inertial Frame
- Foucault Pendulum
- Deflection of Falling Bodies
- Weather Systems
11 Dynamics of Systems of Particles 3 topics
1 Two-Body Problem
- Reduced Mass
- Center of Mass Frame
2 Many-Body Systems
- Constraints and Degrees of Freedom
- Collision Theory
3 Rigid Body Dynamics Revisited
- Euler's Equations
- Principal Axes
- Euler Angles
12 Lagrangian Mechanics 4 topics
1 Principle of Least Action
- Action Integral
- Euler-Lagrange Equations
2 Lagrangian Formulation
- Generalized Coordinates
- Constraints
- Virtual Work
3 Conservation Laws
- Noether's Theorem
- Cyclic Coordinates
- Symmetry and Conservation
4 Applications
- Atwood's Machine
- Double Pendulum
- Central Force Problems
13 Hamiltonian Mechanics 5 topics
1 Hamiltonian Formulation
- Legendre Transformation
- Hamilton's Equations
2 Phase Space
- Phase Portraits
- Liouville's Theorem
3 Canonical Transformations
- Generating Functions
- Poisson Brackets
4 Hamilton-Jacobi Theory
- Hamilton-Jacobi Equation
- Action-Angle Variables
5 Introduction to Chaos
- Sensitive Dependence on Initial Conditions
- Poincaré Sections
- Strange Attractors
14 Continuum Mechanics 4 topics
1 Deformable Bodies
- Stress and Strain
- Hooke's Law
- Elastic Moduli
2 Fluid Statics
- Pressure
- Buoyancy
- Surface Tension
3 Fluid Dynamics
- Continuity Equation
- Bernoulli's Equation
- Viscosity and Poiseuille's Law
4 Wave Propagation
- Wave Equation
- Mechanical Waves
- Energy Transport
15 Special Relativity in Classical Mechanics 3 topics
1 Relativistic Kinematics
- Lorentz Transformations
- Time Dilation and Length Contraction
- Velocity Addition
2 Relativistic Dynamics
- Relativistic Momentum
- Relativistic Energy
- Mass-Energy Equivalence
3 Four-Vectors
- Spacetime Interval
- Four-Momentum
- Invariants
16 Statistical Mechanics 3 topics
1 Statistical Description of Systems
- Microstates and Macrostates
- Phase Space
2 Equilibrium Statistical Mechanics
- Microcanonical Ensemble
- Canonical Ensemble
- Equipartition Theorem
3 Thermodynamic Connections
- Entropy and Disorder
- Free Energy
- Maxwell-Boltzmann Distribution
17 Quantum-Classical Connection 3 topics
1 Classical Limit of Quantum Mechanics
- Correspondence Principle
- Ehrenfest Theorem
2 Path Integral Formulation
- Principle of Least Action Revisited
- Feynman Path Integrals
3 Quantum-Classical Analogies
- Wave-Particle Duality
- Uncertainty Principle
- Semiclassical Approximations
18 Appendices 3 topics
1 Mathematical Methods
- Vector Analysis
- Differential Equations
2 Numerical Methods
- Euler Method
- Runge-Kutta Methods
- Symplectic Integrators
3 Experimental Techniques
- Measurement Theory
- Error Analysis
- Laboratory Methods
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