UNITS AND MEASUREMENTS
- The international system of units
- Measurement of length
- Measurement of mass
- Measurement of time
- Accuracy, precision of instruments and errors in measurement
- Absolute Error, Relative Error and Percentage Error
- Combination of Errors
- Significant figures
- Rules for Arithmetic Operations with Significant Figures
- Rounding off the Uncertain Digits
- Rules for Determining the Uncertaintyin the Results of Arithmatic Calculations
- Dimensions of physical quantities
- Checking the Dimensional Consistency of Equations
- Deducing Relation among the Physical Quantities
- Dimensional formulae and dimensional equations
- Dimensional analysis and its applications
MOTION IN A STRAIGHT LINE
- Position, path length and displacement
- Average velocity and average speed
- Instantaneous velocity and speed
- Acceleration
- Kinematic equations for uniformly accelerated motion
- Free Fall
- Relative velocity
SCALARS AND VECTORS
- Scalars and vectors
- Multiplication of vectors by real numbers
- Addition and subtraction of vectors – graphical method
- Resolution of vectors
- Vector addition – analytical method
- Vector product of two vectors
MOTION IN A PLANE
- Motion in a plane
- Acceleration Vector
- Motion in a plane with constant acceleration
- Relative velocity in two dimensions
- Projectile motion
- Uniform circular motion
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
- Solving problems in mechanics
WORK, ENERGY AND POWER
- Notions of work and kinetic energy : The work-energy theorem
- Work
- Kinetic energy
- Work done by a variable force
- The work-energy theorem for a variable force
- The concept of potential energy
- The conservation of mechanical energy
- The potential energy of a spring
- Various forms of energy: the law of conservation of energy
- Power
- Collisions
SYSTEM OF PARTICLES AND ROTATIONAL MOTION
- What kind of motion can a rigid body have?
- Centre of mass
- Motion of centre of mass
- Linear momentum of a system of particles
- Angular velocity and its relation with linear velocity
- Torque and Angular momentum of a particle
- Equilibrium of a rigid body and Centre Of Gravity
- 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 rotations about a fixed axis
- Conservation of angular momentum
- Rolling motion & Kinetic Energy of Rolling Motion
GRAVITATION
- Kepler’s laws
- Universal law of gravitation
- The gravitational constant
- Acceleration due to gravity of the earth
- Acceleration due to gravity below and above the surface of earth
- Gravitational potential energy
- Escape speed
- Earth satellite
- Energy of an orbiting satellite
- Geostationary and polar satellites
- Weightlessness
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