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Generuj PDF tej strony. The aim of this module is to introduce a student to the principal laws of physics. This course has an introductory character, covers mechanics, electromagnetism, etc. The purpose of this course is to develop theoretical and practical skills in description of the real, natural world based on the fundamental laws and physical principles. Student understands physical phenomena and their importance, learns to solve simple problems in engineering, learns how to plan and perform experiments and how to solve more complicated technical problems basing on physics laws.
Introduction to physics, vector calculus Physics as a basic science. Fundamental interactions. Scalars and vectors. Properties of a vector. Vector calculus addition, subtraction, scalar and vector products. Motion Position vector, displacement. Definition of the average and instantaneous velocities.
Acceleration, acceleration components in different coordinate systems. Oblique projection. A body on the ramp. Inertial and non-inertial reference frames, inertial forces, examples. The law of momentum conservation vs. Work and energy Work of a constant and varied force. Kinetic energy.
Work-kinetic energy theorem. Conservative forces, potential energy, field force. Principle of conservation of mechanical energy.
Introduction to operators, nabla as a gradient. Centre of mass, collisions Centre of mass for a system of particles and a solid body, motion of a system of particles. Inelastic and elastic collisions. Rotation of a rigid body, conservation of angular momentum, rotational inertia, parallel axis theorem. Moment of inertia — an introduction to tensors. Lorentz transformation, consequences of the Lorentz transformation: length contraction and time dilation. Relativity of velocities, Doppler effect for light.
Relativistic dynamics: relativistic energy, conversion of mass into energy. Acceleration of the Earth. Motion of planets and satellites. Gravitational potential energy, energy in orbital motion. Harmonic oscillator Simple harmonic motion, spring mass oscillator. The simple pendulum and physical pendulum. Energy of an oscillator, average values of energy. Damped harmonic oscillator and driven oscillator with damping, resonance.
Waves Classification of waves, phase velocity of a wave. Wave equation and its solution. Group velocity. Interference of waves. Standing waves, resonance. Introduction to thermodynamics Temperature and its measurements. Laws of thermodynamics, entropy. The Carnot cycle. Statistical interpretation of entropy. Electrostatics Electric field, electric field of a dipole, forces acting in an electric field.
Electric potential, electric potential of a point charge. Capacitance, parallel plate capacitor, connection of capacitors. Energy stored in an electric field. Variation of conductance with temperature. Electromotive force. Magnetic field Sources of magnetic field. Forces in a magnetic field. Spectrum and generation of EM waves.
Equation of EM wave, polarization. Reflection and refraction of light, total internal reflection. Chromatic dispersion. The aim of tutorials is consolidation of knowledge acquired during lectures and development of practical skills while dealing with fundamental principles and laws of physics. Students solve problems and tasks related to lecture topics in a test form. They have a chance to discuss their problems at class or at special consultations organized by a lecturer or an assistant.
Homework is required. Monitoring of results is carried out in a written form. Developing the ability of using vector calculus in physics Geometric and algebraic addition and subtraction of vectors, components of a vector. Scalar and vector products and their applications in physics. Velocity and acceleration Calculations of average and instantaneous velocities basing on definitions. Calculation of acceleration, components of acceleration in a circular motion.
Relationships between linear and circular quantities. Analysis of oblique projection, equation of the path. Motion of a body on the ramp. Inertial forces in noninertial reference frames. Calculation of work for the case of varying force. Work-kinetic energy theorem and its application for solving problems in dynamics.
Special theory of relativity Implications of Lorentz transformation: non-simultaneity of events, length contraction and time dilatation, relativistic velocity transformation. Solution of simple tasks of relativistic dynamics taking into account the equivalence of mass and energy.
Gravitation Motion of objects in nonuniform gravitational field of the Earth. Geosynchronous orbit, escape speed. Mechanical energy in orbital motion. Harmonic oscillator Discussion of a simple harmonic motion. Addition of harmonic oscillations.
Damped harmonic oscillator, energy loss in a damped oscillator. Solution of equation for driven oscillator with damping. Analogy between oscillating mechanical system and electrical circuit. Calculations of electrical potential and capacitance. Motion of a charged particle between the plates of a parallel plate capacitor. Calculation of equivalent capacitance for different connections of capacitors. Single loop circuit with electromotive force. Equivalent resistance.
Power in electric circuits. Magnetic field Charge particle in electric and magnetic fields, determination of particle path. Final assessment Students with positive assessments at least 3. Introductory and additional requirements Knowledge of the basics of physics and mathematics at the high school level is required. Additionally, the ability of use elementary differential and integral calculus is obligatory.
Halliday, R. Resnick, J. Kittel, W. Knight, M. Lectures and additional tests and teaching aids available at the website of the module Physics 1. Committee of Metallurgy.
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The aim is to present and reinforce basic knowledge within th escope of relativistic mechanics, nonrelativistic gravity, dynamics of discrete and continous systems. Interrelation of geometry and physics. Relativity of space. Material point. Free body. Galileo's principle of inertia.
General Motion of a Rigid Body
Generuj PDF tej strony. The aim of this module is to introduce a student to the principal laws of physics. This course has an introductory character, covers mechanics, electromagnetism, etc. The purpose of this course is to develop theoretical and practical skills in description of the real, natural world based on the fundamental laws and physical principles.