## (Hollow) Cylinder - Moment of Inertia

Derivation of the moment of inertia of a homogeneous hollow cylinder and a solid cylinder rotating around its axis of symmetry.

Derivation of the moment of inertia of a homogeneous hollow cylinder and a solid cylinder rotating around its axis of symmetry.

Derivation of the velocity formula for the elastic head-on collision of two different masses using conservation of momentum and conservation of energy.

Here, the electrostatic potential, electric field and the capacitance of a plate capacitor are derived using Laplace's equation.

Here we derive length contraction from special relativity using the time dilation derived previously.

With the help of a light clock, the deceleration of time in the moving system can be derived by using only Pythagoras' theorem.

Derivation of the Heisenberg uncertainty relation for momentum and position using a single slit through which many electrons pass and for which the De Broglie relation holds.

Proof of the two Green's identities (formulas) using the Gauss integral theorem, which are useful in the calculation of some electric potentials.

Derivation of the total inductance (equivalent inductance) of a parallel circuit and series circuit of two coils using the Faraday's law of induction.

Derivation of the magnetic field (B-field) of a coaxial cable, inside and outside, by exploiting Ampere's law.

Derivation of allowed energies and associated wave functions inside and outside a one-dimensional finite potential box.