B.Sc Mechanics

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Contents 1 Preface 2 Frames of Reference 3 Conservation of Energy 4 Linear and Angular Momentum 5 Potentials and Fields 6 Collision of Particles 7 Generalised Coordintes and Lagrangian Formulation 8 Special Thoery of Relativity 8.1 Michelson Morley Experiment 8.2 Postulates of Special Theory of Relativity 8.3 Lorentz transformations 8.4 Its Consequences 8.5 Relativity of Simultaneity 8.6 Length Contraction 8.7 Time Dilation 8.8 Addition of velocities 8.9 Relativistic Doppler Effect 8.10 Variation of mass with velocity 8.11 Mass-Energy Relation 8.12 Minkowski four dimensional continum 8.13 Four Vectors 9 Properties of matter 10 Simple Harmonic Free Vibrations 11 Damped Simple Harmonic vibration 12 Forced Vibrations and Resonance 13 Coupled Oscillations 14 Waves in Physical media 15 Fourier analysis and application

[edit] Preface

This book is to be based on the Syllabus of B.Sc(Physics main) Mechanics paper of the Calicut University ,Kerala,India.

[edit] Frames of Reference

[edit] Conservation of Energy

[edit] Linear and Angular Momentum

[edit] Potentials and Fields

[edit] Collision of Particles

[edit] Generalised Coordintes and Lagrangian Formulation

[edit] Special Thoery of Relativity

[edit] Michelson Morley Experiment

The aim of Michelson-Morley experiment was to prove the existence of Eher bydetecting the relative motion between Earth and Ether. The Principle was that if light is to travel with differnt velocities along different directions with respect to earth,a beam of light split and send along two directions perpendicular to each other after normal reflection at the same distance,will have a path differnce and will therefore interfere giving fringes. The apparatus consists of a monochromatic source of light collimatted and madeto fall on a semi-silvered glass plate kept at 45 degrees to the incident beamand the whole apparatus so oriented that the one of the reflected beams travelsalong the direction of motion of ear45 degrees to the incident beamand the whole apparatus so oriented that the one of the reflected beams travelsalong the direction of motion of earth.Two mirrors kept at equal distance from Sreflect the light and they interfere after reflection and the interference fringes are observed through a microscope Let c be the velocity of light and v the velocity of earth through Ether.

Then velocity of light along the direction of motion of earth  = c - v 
velocity of light opposite to the direction of earth =c+v   
Time taken by light to go back and forth along  direction of  light =

[edit] Postulates of Special Theory of Relativity

[edit] Lorentz transformations

[edit] Its Consequences

[edit] Relativity of Simultaneity

[edit] Length Contraction

[edit] Time Dilation

[edit] Addition of velocities

[edit] Relativistic Doppler Effect

[edit] Variation of mass with velocity

[edit] Mass-Energy Relation

[edit] Minkowski four dimensional continum

[edit] Four Vectors

[edit] Properties of matter

[edit] Simple Harmonic Free Vibrations

[edit] Damped Simple Harmonic vibration

[edit] Forced Vibrations and Resonance

[edit] Coupled Oscillations

[edit] Waves in Physical media

[edit] Fourier analysis and application