Geeta-Physics

Mechanics — Geeta-Physics
Bhūloka · Domain I of IV

Mechanics — The
Grammar of Motion

How does a planet hold its orbit? Why does a top stay upright? What keeps a bridge from falling? Mechanics answers all of these — and in doing so, builds the foundation for every branch of physics that follows. From the first equation of motion to the conservation of angular momentum, this is where physical intuition is born.

"Mechanics is not the simplest branch of physics. It is the deepest. Every concept you master here — force, energy, momentum — will reappear in electromagnetism, thermodynamics, and quantum theory. The time you invest now compounds forever."

Why Mechanics

The bedrock of all physics

Mechanics is the oldest, most tested, and most universally applicable branch of physics. It is where Newton built the first complete scientific framework, where Lagrange and Hamilton reformulated it into the language that later gave birth to quantum mechanics, and where every engineering discipline begins.

A student who truly understands mechanics — not just the formulas, but the physical reasoning underneath — will find every subsequent domain easier. Electromagnetism becomes clearer when you already understand fields and potentials through gravitational analogies. Thermodynamics makes sense when energy conservation is instinctive. Quantum mechanics becomes less mysterious when you have felt the classical limit in your bones.

This is why we do not rush through mechanics. We build it properly, from the ground up.

"Give me a lever long enough and a fulcrum on which to place it, and I shall move the world." Archimedes
Recommended Learning Path
1. Math Toolkit — Calculus and vectors (the tools of the trade)
2. Kinematics 1D & 2D — Describing linear and curved motion
3. Newtonian Dynamics — Forces, friction, and tension
4. Work, Energy & Power — The scalar approach to motion
5. Momentum & Collisions — Systems of particles
6. Rotational Mechanics — Rotation and angular momentum
7. Gravitation — Kepler, orbits, and the inverse-square law
8. SHM — Simple harmonic motion and oscillations

Start Here

The Mechanics curriculum

Ten chapters — from the mathematical toolkit through oscillations. Follow the recommended path, or enter any chapter directly. Each chapter is self-contained, equation-grounded, and cross-referenced with the rest of the Geeta-Physics library.

Active 6 lessons 🧮

Math Toolkit

Differentiation, integration, unit analysis, and the trigonometry required for physics problem-solving.

Start Chapter →
Active 8 lessons 📏

Kinematics 1D

Motion along a straight line. Position-time graphs and the kinematic equations for constant acceleration.

Start Chapter →
Active 5 lessons ➡️

Vectors

Resolving components, dot products, and cross products. The bridge between 1D and multi-dimensional motion.

Start Chapter →
Coming Soon — lessons 🎯

Kinematics 2D

Projectile motion under gravity and the kinematics of uniform circular motion.

Coming Soon
Coming Soon — lessons ⚖️

Newton's Laws

Inertia, F = ma, Action-Reaction. Free Body Diagrams for complex systems of forces.

Coming Soon
Coming Soon — lessons

Work & Energy

Conservative and non-conservative forces, potential energy wells, and the Conservation of Energy.

Coming Soon
Coming Soon — lessons 💥

Momentum & Collisions

Impulse, conservation of linear momentum, elastic and inelastic collisions, centre of mass.

Coming Soon
Coming Soon — lessons 🔄

Rotational Mechanics

Torque, moment of inertia, angular momentum, and rolling motion of rigid bodies.

Coming Soon
Coming Soon — lessons 🌍

Gravitation

Newton's law of gravitation, Kepler's laws, orbital mechanics, and gravitational potential energy.

Coming Soon
Coming Soon — lessons 〰️

Simple Harmonic Motion

Springs, pendulums, energy in oscillations, and the mathematics of periodic motion.

Coming Soon

Track Alignment

Mechanics serves every path

Competitive · JEE / AP

Speed & Precision

Mechanics accounts for roughly 30% of JEE Physics. Every chapter here is mapped to exam patterns — MCQ speed-solving, multi-concept integer-type problems, and AP FRQ structure. Conceptual clarity eliminates guessing.

Engineering

Modelling Systems

Statics, dynamics, fluid behaviour, vibration analysis — every engineering discipline starts here. The problem-solving framework you build in these ten chapters transfers directly into circuits, structures, and control systems.

Quantum Foundations

The Classical Limit

You cannot understand quantum mechanics until you feel the classical limit. Hamiltonian and Lagrangian formulations — the languages of quantum theory — are generalisations of what you learn here. Mechanics is not left behind; it is deepened.


How You Learn Mechanics Here

Concept → Mathematics → Visualisation → Problems → Insight

I

Concept

Every topic begins with the physical idea — stated in plain language, grounded in observation. You understand what is happening before you calculate anything.

II

Mathematics

The concept expressed in its natural language — equations, derivations, and the precise mathematical structure that makes physics a science.

III

Visualisation

Diagrams, graphs, and physical analogies that make the mathematics visible. The mind that can see the physics will never forget it.

IV

Problems

Carefully chosen problems that test understanding, not memory. Graded from direct application to multi-concept challenges.

V

Insight

The cross-Loka dimension. Where does this mechanics connect to a Vedic principle, a musical pattern, a philosophical question? This makes learning irreversible.


Begin

Every physicist started here.

The Math Toolkit is chapter one for a reason. If your calculus and vectors are solid, the rest of mechanics unfolds naturally. If they are shaky, everything downstream wobbles. Start here. Build properly.

All content is freely available. For a guided study plan, personalised doubt clearing, or deep-dive sessions — write directly.

Dr. Tejaswi Katravulapally

PhD (Quantum Physics), M.Sc. (IIT Madras), B.Tech. (LNMIIT).

Bridging the depths of Science and the wisdom of the Vedas

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