Vector and Scalar, Representation of Vectors, Need for Co-ordinate System, Distance & Displacement

Mathematics of Vectors, Triangle Law and Parallelogram Law

Addition More than Two Vectors, Subtraction of Vectors- Displacement vector

Elementary Maths

Unit Vectors, Special Unit Vectors, Resolution of Vectors

Addition & Subtract using Unit Vectors, 3 D Vectors, Product of Vectors

Delta, Concept of Infinity, Time Instant Interval, Rate of Change, Position and Velocity

Fundamental Idea of Differentiation- Constant Multiplication Rule, Sum/Difference Rule

Trigonometric functions, Log function, Product Rule, Quotient Rule, Chain Rule

Integration- Formulas of Integration, Use of Integration

Unit, History of Unit of Length-Metre, Properties of a Good Unit

Concept of Derived Units, Fundamental Physics Quantities and Prefix of Units

Unit-less Derived Quantities, Supplementary Quantities, Systems of Unit, Unit Conversion

Dimensional Analysis, Dimension and Unit, Dimensionless Quantities

Principle of Homogeneity

Dimensionally Correct/Incorrect Equations, Use of Dimensional Analysis

More Units of Length and Measurement of Length

Errors and Their Reasons

Meaning of Dimension; Position; Distance & Displacement

Average Speed & Velocity; Instantaneous Speed & Velocity

Photo Diagram; Acceleration- Direction of acceleration, Conceptual Examples

Constant Acceleration; Equations of constant acceleration

Average Velocity Examples and Concepts; Reaction Time

Free Fall under Gravity

Tangent & Chord; Slope of Line- Chord & Tangent; Meaning of x/t graph, v/t graph, a/t graph

Graph Conversion

Area Under Curve

Projectile on Level Ground

Terms Related to Projectile on Level Ground

Not Level to Level Projectile, Problem Solving, Dot Product

Equation of Trajectory and Some Miscellaneous Questions

Projectile on Inclined Plane

Reference Frame and Distance of Closest Approach

Relative Motion in 2D

Free Fall & Relative Motion

Throwing Object from Moving Body

Rain Problem (theory)- and Wind in Rain Problem

River Based Problem

Force and Newton’s Laws

Normal Reaction, Free Body Diagram(F.B.D), Normal on circular bodies, Mass and Weight

Tension Force(Ideal Pulley, Clamp Force), Internal & External Force, Heavy Rope

Spring Force(Sudden Change, Series and Parallel Cutting of Spring)

Inertia and Non-Inertial Frames(Pseudo Force), Action-Reaction Pair, Monkey Problem

Kinetic friction Theory- Theory, Angle of friction

Static Friction Theory- Based on Example 2, Direction of friction Theory

Some Advanced Examples

Block Over Block Theory

Ex. on Average Acc. and Angular Variables Theory and Ref. Frame

Uniform Circular Motion and Centripetal Force

Non-Uniform Center of Mass – Theory by Ex 2; Friction

Centrifugal Force and Banking of Roads

Radius of Curvature- Radius of Curvature; Axial Vector; Well of Death

Work & its calculation and Work-done on curved path

Work-done by Different Forces

Work Energy Theorem and W.E. th in Non-inertial frame, W.E. th and Time

Work Energy Theorem for System

Energy and Different Forms of Energy-and Energy of Chain; Potential Energy & Reference Frame

Normal Reaction, Vertical Circular Motion, Motion in Co-Concentric Spheres

Introduction and Conservation of Momentum

Impulsive Force – Characteristics of Impulsive Force

Momentum Conservation in Presence of External Force – Two Steps Problems

Questions Involving Momentum & Work Energy Theorem

Collision – Head – on Collision and Special Cases of Head – on Collision

Oblique Collision

Collision of Ball with Flat Surface

Center of Mass (CM) Frame and Kinetic Energy in C – Frame

Finding Center of Mass by Replacement Method and Finding CM of Plate with Hole

Finding CM by Integration and CM of Some Standard Objects

Rigid Body – Motion of Rigid Body; Axis of Rotation

Vector Product/ Cross Product; Torque

Couple and Principle of Moments

Pseudo Force and Toppling – Overturning of Car

Moment of Inertia

Parallel Axis Theorem; Perpendicular Axis Theorem; Quantitative Analysis; Radius of Gyra

Analogy b/w Transnational & Rotational Motion; Relation b/w Linear and Angular Velocity; Dynamics of Rotation

Angular Momentum

Introduction to Rolling Motion

Rolling Motion on Spool

Friction

Direction of Friction

Rolling on Moving Platform and Motion of Touching Spheres

Rope Based Questions

Work-done by Friction in Rolling Motion, Kinetic Energy in Transnational + Rotational Motion

Angular Momentum in Rotation + Translation

Gravitation force, Universal Law of Gravitation, Gravitational Force due to Hollow Sphere and Solid Sphere

Acceleration due to Gravity and Rotation of Earth

Potential Energy, Questions and Solutions

Polar Satellites, Weightlessness in Satellites, Trajectories and Kepler’s Laws

Oscillatory Motion – Horizontal Spring Block System, Qualitative Analysis of Horizontal Spring System

Quantitative Analysis of Horizontal Spring System; Frequency and Angular Frequency; Velocity and Acceleration; Mechanical Energy

Relating Uniform Circular Motion and SHM and Phasor Diagram

Equation of SHM and Problem Solving using Phasor Diagram

Questions

More Oscillating Systems – Vertical Spring Block System

Angular Oscillations – Simple Pendulum

Energy Method to find Time Period

Waves, Propagation of Sound Wave and Wave Equation

Sound as a Pressure Wave

Speed of Sound, Laplace Correction and Intensity of Sound Waves

Spherical and Cylindrical Sound Waves

Rigid body, Strain, Stress, Hook’s Law

Breaking Stress

Shear Stress and Strain, Bulk Modulus, Elasticity and Plasticity, Stress-Strain Curve, Young’s Modulus

Linear Expansion; Second’s Pendulum; Bimetallic Strip; Expansion of Hole; Thermal Stress

Areal/Superficial Expansion; Volume Expansion; Thermal Expansion of Liquid; Measurement of Temperature; Anomal

Arial/Superficial Expansion; Volume Expansion; Thermal Expansion of Liquid; Measurement of Temperature

Introduction, Pressure of Liquid

Manometer, Barometer

Pascal Law, Hydraulic Lift

Accelerated Liquid, Vertical and Horizontal Acceleration, Pressure Variation in Horizontally Accelerated Liquid

Rotating Liquid, Rotating Liquid in U-Tube

Archimedes’ Principle, Hollow Objects

Apparent Weight, Variation of Liquid Force with Height

Multiple Liquids

Fluid Dynamics, Equation of Continuity

Magnus Effect