Topics
Physical World and Measurement
Physical World
Units and Measurements
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- Measurement of Length
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- Measurement of Time
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- Errors in Measurements
- Significant Figures
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- Dimensional Formulae and Dimensional Equations
- Dimensional Analysis and Its Applications
- Need for Measurement
- Units of Measurement
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- Introduction of Units and Measurements
Kinematics
Laws of Motion
- Aristotle’s Fallacy
- The Law of Inertia
- Newton's First Law of Motion
- Newton’s Second Law of Motion
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- Conservation of Momentum
- Equilibrium of a Particle
- Common Forces in Mechanics
- Circular Motion and Its Characteristics
- Solving Problems in Mechanics
- Static and Kinetic Friction
- Laws of Friction
- Inertia
- Intuitive Concept of Force
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- 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
- Rolling Friction
- Introduction of Motion in One Dimension
Motion in a Straight Line
- Position, Path Length and Displacement
- Average Velocity and Average Speed
- Instantaneous Velocity and Speed
- Kinematic Equations for Uniformly Accelerated Motion
- Acceleration (Average and Instantaneous)
- Relative Velocity
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- Position-time, Velocity-time and Acceleration-time Graphs
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- Relations for Uniformly Accelerated Motion (Graphical Treatment)
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Work, Energy and Power
- Introduction of Work, Energy and Power
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- Power
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Motion in a Plane
- Scalars and Vectors
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Motion of System of Particles and Rigid Body
Laws of Motion
Work, Energy and Power
Gravitation
- Kepler’s Laws
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System of Particles and Rotational Motion
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- Centre of Mass
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- 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
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- Comparison of Linear and Rotational Motions
- Values of Moments of Inertia for Simple Geometrical Objects (No Derivation)
Properties of Bulk Matter
Gravitation
Thermodynamics
- Thermal Equilibrium
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Behaviour of Perfect Gases and Kinetic Theory of Gases
Mechanical Properties of Solids
Mechanical Properties of Fluids
- Thrust and Pressure
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- Introduction of Mechanical Properties of Fluids
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Oscillations and Waves
Thermal Properties of Matter
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Thermodynamics
Kinetic Theory
- Molecular Nature of Matter
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- Equation of State of a Perfect Gas
- Work Done in Compressing a Gas
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- Mean Free Path
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- 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.)
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- 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
Waves
notes
Determination of Young’s Modulus of the Material of a Wire:
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Two strings were hung from a support and two pans were attached to both the strings.
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Weights are kept on both the pans.
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When the number of weights in the second pan was increased, the string got stretched and moved in a downward direction.
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The change in length was measured by the metre scale which was kept on reference wire.
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Using this experiment, the Young’s modulus value was calculated
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`"Y"= "longitudinal stress"/ "longitudinal strain" = σ/ ε`
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= `("F"/"A")/ ("ΔL"/"L")`
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Where original length = L and ΔL = change in length, F=mg (acting downwards) and A (area of cross-section of wire) = `pir^2`
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= `("mg"/ (πr^2))/ (Δ"L"/"L")`
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`Y="mgL"/(pi"r"^2Delta"L")`
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This is the way to calculate the Young’s modulus.
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