Topics
Physical World
Units and Measurements
- The International System of Units (SI)
- Measurement of Length
- Accuracy, Precision and Least Count of Measuring Instruments
- Errors in Measurements>Systematic Errors
- Significant Figures
- Dimensions of Physical Quantities
- Dimensional Formulae and Dimensional Equations
- Dimensional Analysis and Its Applications
- Need for Measurement
- Units of Measurement
- Derived Quantities and Units
- Length, Mass and Time Measurements
- Introduction of Units and Measurements
Physical World and Measurement
Motion in a Straight Line
- Position, Path Length and Displacement
- Average Velocity
- Instantaneous Velocity
- Instantaneous Speed
- Kinematic Equations for Uniformly Accelerated Motion
- Acceleration in Linear Motion
- Elementary Concept of Differentiation and Integration for Describing Motion
- Uniform and Non-uniform Motion
- Uniformly Accelerated Motion
- Position-time, Velocity-time and Acceleration-time Graphs
- Position - Time Graph
- Relations for Uniformly Accelerated Motion (Graphical Treatment)
- Introduction of Motion in One Dimension
- Motion in a Straight Line
Kinematics
Laws of Motion
Motion in a Plane
- Vector Analysis
- Multiplication of Vectors by a Real Number or Scalar
- Vector Operations>Addition and Subtraction of Vectors
- Resolution of Vectors
- Vector Addition – Analytical Method
- Motion in a Plane
- Equations of Motion in a Plane with Constant Acceleration
- Uniform Circular Motion (UCM)
- Vector
- Instantaneous Velocity
- Rectangular Components
- Scalar (Dot) and Vector (Cross) Product of Vectors
- Relative Velocity in Two Dimensions
- Cases of Uniform Velocity
- Cases of Uniform Acceleration Projectile Motion
- Acceleration in Linear Motion
- Angular Velocity
- Introduction of Motion in One Dimension
Work, Energy and Power
Laws of Motion
- Aristotle’s Fallacy
- The Law of Inertia
- Newton's First Law of Motion
- Newton’s Second Law of Motion
- Newton's Third Law of Motion
- Conservation of Momentum
- Equilibrium of a Particle
- Common Forces in Mechanics
- Circular Motion and Its Characteristics
- Solving Problems in Mechanics
- Types of Friction>Kinetic Friction
- Laws of Friction
- Inertia
- Intuitive Concept of Force
- Dynamics of Uniform Circular Motion - Centripetal Force
- Examples of Circular Motion (Vehicle on a Level Circular Road, Vehicle on a Banked Road)
- Lubrication - (Laws of Motion)
- Law of Conservation of Linear Momentum and Its Applications
- Types of Friction>Rolling Friction
- Introduction of Motion in One Dimension
Motion of System of Particles and Rigid Body
Work, Energy and Power
- Introduction of Work, Energy and Power
- Notions of Work and Kinetic Energy: the Work-energy Theorem
- Mechanical Energy > Kinetic Energy (K)
- Types of Forces>Work Done by a Variable Force
- Concept of Work
- Mechanical Energy > Potential Energy (U)
- Conservation of Mechanical Energy
- Potential Energy of a Spring
- Concept of Power
- Collisions
- Types of Forces>Conservative and Non-Conservative Forces
System of Particles and Rotational Motion
- Motion - Rigid Body
- Centre of Mass>Mathematical Understanding of Centre of Mass
- Motion of Centre of Mass
- Linear Momentum of a System of Particles
- Vector Product of Two Vectors
- Angular Velocity and Its Relation with Linear Velocity
- Torque and Angular Momentum
- Equilibrium of Rigid Body
- Moment of Inertia
- Theorems of Perpendicular and Parallel Axes
- Kinematics of Rotational Motion About a Fixed Axis
- Dynamics of Rotational Motion About a Fixed Axis
- Angular Momentum in Case of Rotation About a Fixed Axis
- Rolling Motion
- Momentum Conservation and Centre of Mass Motion
- Centre of Mass of a Rigid Body
- Centre of Mass of a Uniform Rod
- Rigid Body Rotation
- Equations of Rotational Motion
- Comparison of Linear and Rotational Motions
- Values of Moments of Inertia for Simple Geometrical Objects (No Derivation)
Gravitation
Gravitation
- Kepler’s Laws
- Newton's Universal Law of Gravitation
- The Gravitational Constant
- Acceleration Due to Gravity of the Earth
- Acceleration Due to Gravity Below and Above the Earth's Surface
- Variation in the Acceleration>Variation in Gravity with Altitude
- Expression for Gravitational Potential Energy
- Escape Speed
- Earth Satellites
- Binding Energy of an Orbiting Satellite
- Geostationary and Polar Satellites
- Weightlessness
- Escape Velocity
- Orbital Velocity of a Satellite
Properties of Bulk Matter
Thermodynamics
Mechanical Properties of Solids
Behaviour of Perfect Gases and Kinetic Theory of Gases
Mechanical Properties of Fluids
- Thrust and Pressure
- Pascal’s Law
- Variation of Pressure with Depth
- Atmospheric Pressure and Gauge Pressure
- Hydraulic Machines
- Streamline and Turbulent Flow
- Applications of Bernoulli’s Equation
- Viscous Force or Viscosity
- Reynold's Number
- Surface Tension
- Effect of Gravity on Fluid Pressure
- Terminal Velocity
- Critical Velocity
- Excess of Pressure Across a Curved Surface
- Introduction of Mechanical Properties of Fluids
- Archimedes' Principle
- Stoke's Law
- Equation of Continuity
- Torricelli's Law
Thermal Properties of Matter
- Temperature and Heat
- Measurement of Temperature
- Absolute Zero and Absolute Temperature
- Thermal Expansion
- Specific Heat Capacity
- Calorimetry
- Latent Heat
- Conduction
- Convection
- Radiation
- Newton’s Law of Cooling
- Qualitative Ideas of Black Body Radiation
- Wien's Displacement Law
- Stefan's Law
- Anomalous Expansion of Water
- Liquids and Gases
- Thermal Expansion of Solids
- Green House Effect
Oscillations and Waves
Thermodynamics
- Thermal Equilibrium
- Measurement of Temperature
- Heat, Internal Energy and Work
- First Law of Thermodynamics
- Specific Heat Capacity
- Thermodynamic State Variables and Equation of State
- Thermodynamic Process
- Heat Engine
- Refrigerators and Heat Pumps
- Second Law of Thermodynamics
- Reversible and Irreversible Processes
- Carnot Engine
Kinetic Theory
- Molecular Nature of Matter
- Gases and Its Characteristics
- Equation of State of a Perfect Gas
- Work Done in Compressing a Gas
- Introduction of Kinetic Theory of an Ideal Gas
- Interpretation of Temperature in Kinetic Theory
- Law of Equipartition of Energy
- Specific Heat Capacities - Gases
- Mean Free Path
- Kinetic Theory of Gases - Concept of Pressure
- Assumptions of Kinetic Theory of Gases
- RMS Speed of Gas Molecules
- Degrees of Freedom
- Avogadro's Number
Oscillations
- Periodic and Oscillatory Motion
- Simple Harmonic Motion (S.H.M.)
- Simple Harmonic Motion and Uniform Circular Motion
- Velocity and Acceleration in Simple Harmonic Motion
- Force Law for Simple Harmonic Motion
- Energy in Simple Harmonic Motion
- Some Systems Executing Simple Harmonic Motion
- Damped Simple Harmonic Motion
- Forced Oscillations and Resonance
- Displacement as a Function of Time
- Periodic Functions
- Oscillations - Frequency
- Simple Pendulum
Waves
- Reflection of Transverse and Longitudinal Waves
- Displacement Relation for a Progressive Wave
- The Speed of a Travelling Wave
- Principle of Superposition of Waves
- Introduction of Reflection of Waves
- Standing Waves and Normal Modes
- Beats
- Doppler Effect
- Wave Motion
- Speed of Wave Motion
- Physics
- Types of Physics: Kinematics and Dynamics
- Rest
- Point object
- Reference Systems
- Motion
- Types of Motion
- One Dimensional Motion
- Two Dimensional Motion
- Three Dimensional Motion
- Rest and motion are relative quantities
Notes
Introduction
Motion draws our attention. Motion itself can be beautiful, causing us to marvel at the forces needed to achieve spectacular motion, such as that of a dolphin jumping out of the water, or a pole vaulter, or the flight of a bird, or the orbit of a satellite. The study of motion is kinematics, but kinematics only describes the way objects move—their velocity and their acceleration.
Dynamics considers the forces that affect the motion of moving objects and systems. Newton’s laws of motion are the foundation of dynamics. These laws provide an example of the breadth and simplicity of principles under which nature functions. They are also universal laws in that they apply to similar situations on Earth as well as in space.
Notes
Introduction
Motion is one of the significant topics in physics. Everything in the universe moves. It might only be a small amount of moment and very-very slow, but movement does happen. Even if you appear to be standing still, the earth is moving around the sun, and the sun is moving around our galaxy.
” An object is said to be in motion if its position changes with time.”
The concept of motion is a relive one and a body that may be at in motion relative to one reference system, may be at rest relative to another.
There are two branches in physics that examine the motion of the object.
1. Kinematics: It describes the motion of objects, without looking at the cause of the motion.
2. Dynamics: It relates the motion of objects to the forces which cause them.
Point object
If the length covered by the objects are very large in comparison to the size of the objects, the objects are considered point objects.
Reference Systems
The motion of a particle is always described with respect to a reference system. A reference system is made by taking an arbitrary point as origin and imaging a co-ordinate system to be attached to it. This co-ordinate system chosen for a given problem constitutes the reference system for it. We generally choose a co-ordinate system attached to the earth as the reference system for most of the problems.
Types of Motion
1. One Dimensional Motion
If only one out of three coordinates specifying the position of the object changes with respect to time, then the motion is called one dimensional motion.
For instance, motion of a block in a straight line motion of a train along a straight track a man walking on a level and narrow road and object falling under gravity etc.
2. Two Dimensional Motion
If only two out of three coordinates specifying the position of the object changes with respect to time, then the motion is called two dimensional motion.
A circular motion is an instance of two dimensional motion.
3. Three Dimensional Motion
If all the three coordinates specifying the position of the object changes with respect to time, then the motion is called three dimensional motion.
A few instances of three dimension are flying bird, a flying kite, a flying aeroplane, the random motion of gas molecule etc.
Notes
Introduction
The physical quantities like work, temperature and distance can be represented in day to day life wholly by their magnitude alone. However, the relation of these physical quantities can be explained by the laws of arithmetic. In order to represent physical quantities like acceleration, displacement, and force, the direction is equally essential along with the magnitude.
Motion in a plane includes linear motion, rotational motion, and projectile motion. This lesson will focus on two-dimensional, linear motion of a single object, and linear motion of two objects moving relative to each other. In both scenarios unit-vectors will be utilized to organize the displacements, velocities, and accelerations of the object(s); and techniques will be taught that help to solve these types of kinematics problems.


