## Galilean transformations

We can easily prove that Newton’s equations of motion, if they hold in any coordinate system, also hold in any other coordinate system translating uniformly w.r.t. the first frame of reference. This is the Newtonian principle of relativity. Galilean transformations are a set of equations which relate the space and time coordinates of two systems which are moving at a constant velocity relative to each … Continue reading Galilean transformations »

## Relativistic Lagrangian and equation of motion : Classical Mechanics

Relativistic Lagrangian and equation of motion Here I have tried to solve a problem in Classical mechanics which is about relativistic Lagrangian and equation of motion. Question Our problem is to show that relativistic Lagrangian give the equation of motion $F_{i}=-\frac{\partial V}{\partial \dot{x_{i}}}$ Solution From non-relativistic Lagrangian $L=T+V$ where $T$ is the kinetic energy and $V$ is the potential energy and $\frac{\partial L}{\partial \dot{q}}$ is the momentum … Continue reading Relativistic Lagrangian and equation of motion : Classical Mechanics »

## Two particle system and reduced mass

This article is about Two particle system and reduced mass. This topic comes under the chapter Dynamics of System of Particles. It is for B.Sc. students and comes under subject mechanics. For full chapter notes links please visit this link Dynamics of System of Particles Two particle system and reduced mass Two body problems with central forces can always be reduced to the form of … Continue reading Two particle system and reduced mass »

## Position of a particle (Mechanics)

This article ” Position of a particle ” is for B.Sc. students. We have also defined inertial and non inertial frame of reference in this article. Position of a particle (a) By Position Vector:- The line joining the point P and the origin ‘O’ of the frame of reference that is $\vec{PO}$ is known as position vector and is also represented by $\vec{r}$. (b) By … Continue reading Position of a particle (Mechanics) »