RELATIVITY. TOPICS TO BE DISCUSSED. LIMITATIONS OF NEWTON’S LAWS OF MOTION EINSTEIN SPECIAL THEORY OF RELATIVITY SOME IMPORTANT DEFINITIONS FRAME OF REFERENCE INERTIAL FRAME OF REFERENCE NON INERTIAL FRAME OF REFERENCE GALILEAN TRANSFORMATION. LIMITATIONS OF NEWTON’S LAW OF MOTION.
i) length of an object is independent of condition under which it is measured such as position and motion of object or the observer.
ii) The time interval between two events has the same value for all observers.
iii) The mass of a body is constant and is independent of its motion relative to an observer.
A frame of reference is a system of co-ordinate axes which specify the position of a particle or an event in two or three dimensional space.
The simplest and the most commonly used frame of reference is the Cartesiansystem of co-ordinates with observer at the origin. It is not essential that the position of observer should coincide with that of origin .However, it is convenient to do so.
In time t an acceleration , S’ covers the distance OO’ =vt along positive direction of x - axes i.e.
But O’A=x’,OA=x and OO’=vt
As there is no relative motion of S’ along Y and Z axes therefore
y’=y and z’=z
Buttime is absolute in classical relativity so t’=t
HenceGalilean transformation are given by