## Classical Mechanics Handwritten Notes PDF

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[notes-ad1]Topics in our Classical Mechanics Notes PDF

The topics we will cover in these **Classical mechanics notes for bsc pdf** will be taken from the following list:

**Classical Mechanics of Point Particles: **Review of Newtonian Mechanics; Application to the motion of a charge particle in external electric and magnetic fields- motion in uniform electric field, magnetic field- gyroradius and gyro-frequency, motion in crossed electric and magnetic fields. Degrees of freedom of a system, Generalized coordinates, and velocities. Hamilton’s Principle, Lagrangian and Lagrange’s equations of motion of one- dimensional simple harmonic oscillators, falling body in uniform gravity. Cyclic coordinates. Canonical momenta & Hamiltonian. Hamilton’s equations of motion. Comparison of Newtonian, Lagrangian, and Hamiltonian mechanics. Applications of Hamiltonian mechanics: Hamiltonian for a simple harmonic oscillator, solution of Hamilton’s equations for simple harmonic oscillations (1-D), particle in a Central Force Field – conservation of angular momentum and energy.

**Small Amplitude Oscillations: **Minima of potential energy and points of stable equilibrium, small amplitude oscillations about the minimum, normal modes of longitudinal simple harmonic oscillations (maximum 3 masses connected by 4 springs). Kinetic energy (T) and potential energy (V) in terms of normal co-ordinates. T and V matrices: finding eigen-frequencies and eigen-vectors using these matrices.

**Special Theory of Relativity: **Postulates of Special Theory of Relativity. Lorentz Transformations. Minkowski space. The invariant interval, light cone, and world lines. Space-time diagrams: Time-dilation, Length contraction, Simultaneity.

**Four -vectors: **space-like, time-like, and light-like. Four-displacement four-velocity, four acceleration four-space. Four-momentum and energy-momentum relation. Doppler effect from a 4-vector perspective. Application to two-body decay of an unstable particle. Metric tensor and alternating tensors and their properties.

**Fluid Dynamics: **Density ? and pressure P in a fluid, an element of fluid and its velocity, continuity equation and mass conservation, stream-lined motion, laminar flow, Poiseuille’s equation for flow of a liquid through a pipe. Analogy between liquid flow and current flow, rate of liquid flow through capillaries in series and in parallel combination. Navier Stoke’s equation, Reynolds number.

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