Measurements

Units and dimensions

• Units - Fundamental and derived
• Units - Systems
• Units - Dimensions
• Significant figures and error analysis

Scalars and vectors

• Vectors - Types
• Vectors - Resolution
• Vectors - Addition
• Vectors - Multiplication

Motion - One dimension

Motion - One dimension - Rest and motion

• Motion - One dimension - Displacement and distance
• Motion - One dimension - Velocity and acceleration

Motion - One dimension - Along a straight line

• Motion - One dimension - Equations
• Motion - One dimension - Graphs

Motion under gravity

• Motion under gravity - Equations

Motion - Two dimensions

Projectile

• Projectile - Equation
• Projectile - Range, height and time of flight

Force and motion

Motion - Translatory - Newton’s laws

• Motion - Newton’s laws - 1st law
• Motion - Newton’s laws - 2nd law
• Motion - Newton’s laws - 3rd law
• Motion - On smooth surface
• Motion - On smooth inclined plane
• Motion of two bodies - Connected by a string over a smooth pulley
• Frames of reference

Friction

• Friction - Static and Dynamic
• Friction - Horizontal rough plane - Motion of a block
• Friction - Rough inclined plane - Motion of a block

Circular Motion

• Circular motion - Uniform
• Circular motion - Force - Centripetal and centrifugal
• Circular motion - Vertical circle

Conservation Principles

Conservation - Energy

• Conservation - Work, power and energy
• Conservation - Energy - Applications

Conservation - Momentum

• Conservation - Momentum - Rocket propulsion

Collisions

• Collisions - Elastic
• Collisions - Inelastic

Motion - System of bodies and rigid body

Center of mass

• Center of mass - Two and many particle system
• Center of mass - Binary systems in nature

Moment of inertia - Defintions

• Moment of inertia - Theorems
• Moment of inertia - Circular disc and ring
• Moment of inertia - Cylinder
• Moment of inertia - Sphere
• Moment of inertia - Rectangular plate and rod

Rotational Motion

• Rotational motion - Definitions and basic concepts
• Rotational motion - Equations
• Rotational motion - Torque
• Rotational motion - Angular momentum
• Rotational motion - Angular momentum - Conservation
• Rotational motion - Kinetic energy, work and power

Gravitation

Gravitation - Law of gravitation and laws of planetary motion

• Gravitation - Variation of g
• Gravitation - Kepler’s laws of planetary motion

Gravitation - Gravitational field and potential

• Gravitation - Gravitational field
• Gravitation - Gravitational potential

Satellites - Natural and artificial

• Satellites - Parameters
• Gravitation - Escape Velocity and weightlessness

Statics

Equilibrium of bodies

• Equilibrium of bodies - Resultant of forces
• Equilibrium of bodies - Lami’s theorem

Moments

• Moments - Force
• Moments - Laws
• Moments - Couple

Elasticity

Elasticity - Elastic and plastic bodies, factors affecting

• Elasticity - Stress and strain
• Elasticity - Hooke’s law and moduli of elasticity
• Elasticity - Elastic potential energy
• Elasticity - Applications

Viscosity

• Viscosity - Coefficient and velocity gradient
• Viscosity - Terminal velocity - Stokes’ law
• Viscosity - Capillary tube - Flow of fluid

Surface Tension

• Surface Tension - Surface energy
• Surface Tension - Pressure - Liquid drop - Inside
• Surface Tension - Angle of contact
• Surface Tension - Capillarity

Buoyancy

• Buoyancy - Archimedes’ principle
• Buoyancy - Flotation

Fluid - Flow

• Fluid - Flow - Streamline and turbulent motion
• Fluid - Flow - Total energy of a flowing liquid
• Fluid - Flow - Bernoulli’s theorem
• Fluid - Flow - Bernoulli’s theorem - Applications