Home Summaries Theory Laboratory About the author
 
   
  Mechanics
   
  Kinematics (1) - Motion in Two Dimensions
  1. Introduction
2. Position vector
     2.1. Equation of the trajectory
3. Velocity vector
    3.1. Average velocity
    3.2. Instantaneous velocity
4. Acceleration vector
    4.1. Average acceleration
    4.2. Instantaneous acceleration
5. Circular Motion
   
  Kinematics (2) - Motion in Three Dimensions
  1. Introduction
2. Position vector
3. Velocity
    3.1. Average velocity
    3.2. Instantaneous velocity
    3.3. Direction of the velocity
    3.4. Unit vector
    3.5. Another expression of v
4. Acceleration
    4.1. Average acceleration
    4.2. Instantaneous acceleration
    4.3. Another expression of a
5. Motion with constant acceleration
6. Circular motion
   
  Dynamics
  1. Introduction
    1.1. Force
    1.2. Inertia
2. Newton’s laws of motion
    2.1. 1st law (Principle of inertia)
    2.2. 2nd law (Fundamental principle of dynamics)
    2.3. 3rd law (Principle of interaction)
3. Applying Newton’s laws
4. Constrained Motion and Friction
    4.1. Friction
    4.2. Coefficient of friction
5. Motion in a resisting medium
   
  Relative Motion (Classical Relativity)
  1. Relative motion
1.1. Uniform relative translational motion
2. Inertial frames of reference
2.1. Galilean invariance law, or the principle of Newtonian relativity
3. Galilean transformations
   
  Free Fall and Projectile Motion
  1. Introduction
2. Motion with constant acceleration
    2.1. Velocity vector
    2.2. Position vector
3. Free fall of bodies
    3.1. Acceleration
    3.2. Velocity
    3.3. Position vector
4. Projectile motion
    4.1. Time needed to reach the highest point in the trajectory
    4.2. Maximum height
    4.3. Equation of the trajectory (elimination of t)
    4.4. Range xR (Displacement on the x-axis)
   
  Work Energy and Power
  1. Work
2. Kinetic energy and work - energy theorem
    2.1. Work-Energy theorem
3. Power
    3.1. Average Power
    3.2. Instantaneous Power
4. Conservative force fields and conservation of energy
   
  Torque Angular momentum and Equilibrium
  1. Torque: the moment of force
2. Center of gravity
3. Angular momentum
    3.1. The relation between angular momentum and torque
4. Conservation of angular momentum
5. Angular momentum in central forces
    5.1. Central force
    5.2. Angular momentum in central field
6. Equilibrium of rigid bodies
    6.1. Translational equilibrium
    6.2. Rotational equilibrium
    6.3. Equilibrium of a rigid body
   
  System of particles
  1. Introduction
2. Density of a system of particles
3. Center of mass
4. Motion of a system of particles
    4.1. Total linear momentum of a system of particles
    4.2. Newton’s second law for a system of particles
    4.3. Conservation of the total linear momentum
    4.4. Total angular momentum of a system of particles
    4.5. Total external torque exerted on a system of particles
    4.6. Conservation of total angular momentum of a system of particles
    4.7. Kinetic energy K of a system of particles
    4.8. Work
    4.9. Potential energy
5. Motion relative to the center of mass
    5.1. Total linear momentum of a system of particles about the center of mass
    5.2. Angular momentum
    5.3. Kinetic energy of a system of particles
    5.4. Relation between the torque and the angular momentum about the center of mass
    5.5. Linear impulse
    5.6. Angular impulse
 
  Electricity and Magnetism
   
  Electric charges and Coulomb's law
  1. Introduction
2. Electric charge
    2.1. Charge quantization
    2.2. Charge distribution
3. Electric conductors and insulator
4. Charging an object
    4.1. Charging by friction
    4.2. Charging by contact
    4.3. Charging by induction
5. Coulomb’s law
    5.1. Formation of Coulomb’s law
    5.2. Conclusion
6. Principle of Superposition
   
  Potential Difference (1)
  1. The Concept of Potential Difference
    1.1. The sign of the potential difference
    1.2. Measurement of potential difference
    1.3. Some special cases of potential difference
2. Laws of potential difference
    2.1. The law of addition of potential differences in a series circuit
    2.2. Law of uniqueness of potential difference in a parallel circuit
3. Reference Potential
   
  Maxwell's equations (Summary)
  Maxwell's equations
  Math for Physics
   
  Derivatives and Integrals
  1. Derivatives
2. Integrals
   
  Trigonometric Formulas
  Transformation formulas for trigonometric functions
   
  Vectors and Coordinate Systems
  1. Coplanar vectors
2. Basis and systems in space
3. Systems
4. Position vector
5. Geometric construction of the coordinates
6. Remarks
7. Transformation of systems by translation
8. Particular systems
9. Orientation in space
   
  Scalar, vector, and mixed product
  1. Scalar product of two vectors
2. Vector product or cross product of two vectors
3. Mixed product of three vectors
   
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