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This course introduces fundamental concepts of mechanics and relativity. Static mechanics - force and equilibrium, pressure, moments, work and potential Linear motions - Newton's first and second laws, kinetic energy, linear momentum, frames of reference, rockets, collision Special relativity - Michelson-Morley experiment, Einstein's postulates, Lorentz transformation, time and causality, world-lines & space-time, Doppler effect, momentum and energy Force fields - gravity, concept of field, conservative fields, Gauss' law, superposition Rotational motion - centrifugal and Coriolis forces, angular speed and momentum, moment of inertia, parallel and perpendicular axes theorems, kinetic energy, gyroscope, orbits & Kepler's law
This course introduces basic notions of fields and oscillatory behaviour. Simple harmonic motion - time-dependence, angular frequency and phase, mass on a spring, relative phases, coupled oscillations and normal modes, phasor diagrams, representations in complex plane, damped oscillations and energy decay Electromagnetic field - Coulamb's law, electric field & potential, Gauss' law and capacitance, moving charges, magnetic flux density and Ampere's law, flux in circuits, Faraday's law and magnetostatic energy, JJ Thompson's experiment Electrical circuits - voltage, current and resistance, Kirchoff's laws, exponential decay in circuits Oscillations in circuits - LC circuits and relative phases, complex current and voltage, complex impedance, electrical resonance, filter and bandwidth, mechanical impedance
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This course introduces fundamental concepts of mechanics. Fundamental quantities of nature. Systems in equilibrium, in motion with constant acceleration and non-constant acceleration. Frames of reference and Galilean Relativity. Linear Motion - Newton’s three laws of motion; forces, linear momentum, impulse, work done, kinetic energy, potential energy, torque and pressure; conservation laws; collisions; systems with variable masses; rockets. Force fields - gravitation; concept of field; conservative fields; Gauss’ law; superposition. Rotational motion - Orbits & Kepler’s laws; angular speed and momentum; moment of inertia; rotational dynamics; parallel and perpendicular axes theorems; kinetic energy; gyroscope