Two equal masses are connected by a spring satisfying Hooke's law. The spring is elongated a little and allowed to let go.. Let the angular frequency of oscillations be \(\omega\). Now one mass stopped. What is the square of the new frequency? Discussion: $$ \mu=\frac{m}{2}$$ $$ \omega^2=k/\mu=2k/m$$ When one block is stopped $$ \omega_1^2=k/m=\omega^2/2$$ Useful […]
TIFR 2013 Problem 32 Solution has been written for TIFR entrance preparation series. A problem on limit of a sequence from real analysis.
Let's discuss a problem from TIFR 2013 Problem 31 based on inequality. Try this problem yourself, then read the solution.
Let's discuss a problem where we find the stable equilibrium point, useful for Physics Olympiad. Try it yourself before reading the solution.
TIFR 2013 Problem 30 Solution has been written for TIFR entrance series. A problem using the idea of linear independence of vectors from Linear Algebra.
TIFR 2013 Problem 29 Solution has been written for TIFR entrance preparation series. A problem on sequence criterion for continuity from Real analysis.
Let's find out the centre of mass for carbon monoxide, useful for the Olympiad. Try it yourself before reading the solution.
Let's discuss an interesting problem - Loop-The-Loop, useful for Physics Olympiad. Try it yourself before reading the solution.
Let's discuss a problem where we will find out the total charge on a circular disc. The Problem: Consider a circular disc of radius (a) whose surface density of charge at any point ((r,\theta)) is $$ \sigma(r,\theta)=\sigma_0r^2sin^2\theta$$ Find the total charge on the disc. Solution: Consider a surface element (rdrd\theta) on the disc about the […]
TIFR 2013 Problem 28 Solution written for TIFR entrance preparation series. A problem on inverse of a continuous map from real analysis