Derivation of Lorentz transformation equations using orthogonal transformations Let us consider two uniformly moving frames of reference where origins coincides at . let the source of light is fixed at unprimed frame of reference and emits a pulse of light. The observer fixed in the unprimed frame of reference will observe a spherical wave-front propagating with the speed of light , whose equation can be … Continue reading Lorentz Transformation »

This article is about the solution of the problem where you have to find the equation of motion from Relativistic Lagrangian.

Classical mechanics questions and articles for csir-net/jrf physics This page contains all the blog posts related to classical mechanics that had been posted in this blog. All the links opens in new page. We all know that mechanics is the study of how things move. It is a tool for describing how planets move around sun and many more things that just happen around us … Continue reading Classical Mechanics »

Question :

Find out the total energy of earth in its circular orbit around the sun in terms of gravitational constant

Answer:

Let R be the total distance between the earth and the sun. If

Question

If a particle falls from rest under the influence of gravity from higher to lower point in the minimum time, what is the curve that the particle will follow?

Solution

Suppose v is the speed of the particle along the curve, then in traversing ds portion of the curve time spent would be

Question

Obtain the equations of motion of coupled pendulum using the lagrangian method.

Solution

Consider a system of coupled pendulums as shown below in the figure