Youtube Channel video planning:

• Galileo falling body history and terminal velocity series. (Completed)

• Hisotory of genius Newton, discovery of Gravity, and invention of calculus.

• Explain the super sonic and hypersonic motion using the surface wave

• Centre of mass, gravity, and centroid

• Stable, unstable and saddle points. Maximum - minimum value of continuous and discrete functions, Laplacian!

• Gravity tunnel, escape velocity, orbital mechanics, projectile motion of bullet hitting back side by rounding the earth!

• Electrostatics, Gauss's law, Farady's cage, electric strike on aeroplane.

• Mass and area moment of inertia, Inertia tensor, principal axes, parallel and intermediate axis theorem, radius of gyration.

• Three body problem, chaos, and Butterfly effect.

• How the mass of planets, and the speed of light was measured?

• Double Pendulum and non-linearity.

• Fourier and Laplace transform.

• Sketching human model using complex Fourier series! 

• Making classical music model using Fourier analysis

• Gyroscopic Precision, Rigid body dynamics and rotational disk kinematics.

• 2D & 3D rotation using Complex numbers, Quaternions, Matrices (More precisely Tensors)

• Inertial and non-inertial reference frame, centripetal vs centrifugal force, coriolis effect, and relative motions.

• High school geometry- visualization of area, length, volumes; Indirect measurement of tower height and river width using similar triangle theorem!

• Archimedes law and his crown history

• Pascal law, College thermodynamics: fishes underneath the ice pond, ice pressure, Entropy & Boltzmann brain.

• Working principles of Radio added history

• History of AC current, AC-DC comparison, Transformer and motor.

• Pendulum watch

• Tuning fork- beat, natural and resonance frequency.

• Car suspension and Burj khalifa vibration damping, high voltage grid lines vibration damping.

• Sound wave equation and propagation, Mach number and sonic boom, Supersonic and hypersonic velocity, surface wave and Froude number.

• Simple harmonic motion - College physics examples, e.g., pendulum (small amplitude), linear spring, potential well, oil in u-tube pipe, tunnel inside earth.

• Transmission of sound from  tuning fork through air to ear.

• Schlieren flow visualization model creation.

• Einstein's special theory of relativity, his thought experiment, and mass-energy equivalence rule.

• Limitations of Newtonian mechanics, origin of quantum mechanics and relativistic mechanics.

• An introduction to variational calculus, Hemilton and Lagrangian mechanics, equation of motion independent of coordinate systems (not limited to Newton's intertial reference)!

• Lagrange equation of 2nd kind, Holonomic constraints, Generalized coordinates. 

• Linear transformation, Eigen value and Eigen vector.

• Taylor series, approximation of single and multivariable functions, Newton-Raphson's Method, Jacobian matrix.

• History of Euler's number & its importance, derivation using taylor's series approximation.

• Degree of freedom, open & closed system,

• Model hydraulic (incompressible flow) pipe network using electrical circuit analogy (both AC and DC).

• Definition of the fundamental units! Can they be measured with 100% accuracy?! Probably nothing can be perfect except our thinking (Context: drawing perfect circle, engineering design, real world machines)

---------------- to be continued