Notes Freely falling particle using the H-J method To determine the motion of a particle falling vertically in a uniform gravitational field, the Hamiltonian is given byH = T + V = p²/ 2m + mgy .........1...
Notes Introduction to continuous systems and fields Certain mechanical issues require a continuous system. For instance, consider the issue of an elastic solid that is vibrating. Here, the oscillation is caused by each point of the continuous ...
Notes Entropy of a classical ideal gas using the concept of microcanonical ensemble The microcanonical ensemble describes a system that is isolated and has a fixed total energy. For an ideal gas, the total energy of the system is the sum of the ...
Notes Gibb's paradox and its resolution Gibbs' paradox is a problem in statistical mechanics that arises when attempting to calculate the entropy of a mixture of two ideal gases. The paradox is that the entropy of ...
Notes Cannonical Ensemble The microcannonical ensemble is a general statistical tool but it is often very difficult to use practice because of difficulty in evaluating the volume of phase space. Hence cannonical ensemble ...
Notes Heavy symmetrical top with one point fixed We can select a particular set of body axes such that the off-diagonal elements vanish and the expression of inertia only contains the diagonal elements. These axes are known as ...
Notes Effect of coriolis force on a projectile shot along the earth's surface Let P represent a location on the earth's surface at latitude λ. Take into account a rectangular Cartesian coordinate system with P as the swiftly fixed origin. The system's z ...
