Course detail
Mechanics and Acoustics
FIT-IMKAcad. year: 2018/2019
The course gives an overview of basic concepts and laws in the field of mechanics. Students are acquainted with the procedures for compiling equations of motion and using software tools for their solution, with problems of choice of initial conditions, displaying and interpreting the obtained solution. There are presented basic quantities and principles of acoustics, especially physics, musical and physiological acoustics. Basic information on ultrasound and infrasound is also provided to the students.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
- Laboratory exercise: 30 points. Points are obtained for work and activity in exercises. No laboratory reports.
- Two individual projects: a total of 40 points.
- Final individual work (written work using software support): 30 points.
Exam prerequisites:
To take the credit it is necessary to take part in all laboratory and computer exercises. Well-excused exercises can be replaced.
During the semester it is possible to get a point assessment for final independent work (written work using software support), two projects and work in laboratory exercises. It is necessary to obtain at least 50 points to obtain a credit. Classification is performed according to the standard scale.
Course curriculum
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Compulsory lessons are laboratory exercises and computer exercises. Well-excused exercises can be compensated. In the laboratory exercises the students do not elaborate the reports, the evaluation of the measurements is made during the lesson.
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Recommended reading
Halliday, D.; Resnick, R.; Walker, J. Fyzika. Vysoké učení technické v Brně, VUTIUM, Prometheus Praha, 2000, 2003, 2006, 2013.
Support Electronic texts
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
- Kinematics of the mass point. Position, velocity and acceleration, linear and curvilinear motion, superposition principle, circular motion.
- Dynamics of the mass point. Newton's laws, equation of motion, inertial and noninertial systems, work and impulse of force, energy and momentum, moment of force and angular momentum.
- Gravitational field. Newton's law of gravity, intensity and potential, planetary and satellite movements.
- A set of mass points and a rigid body. Center of gravity, momentum theorem, angular momentum theorem, equilibrium and motion, kinetic energy, moment of inertia, friction, pendulums, gyroscope.
- Impact of bodies. Impact forces, perfectly elastic impact and inelastic impact, direct and oblique impact, rotating impact, ball, wall reflection, billiards, Newton's cradle.
- Deterministic chaos in mechanical systems. Conditions for chaotic behavior, attractor, strange attractor, double pendulum.
- Fundamentals of analytical mechanics. Generalized coordinates and forces, Lagrange equations of the 2nd type, mathematical pendulum, particles in a central force field, two-body and three-body problems.
- Oscillations. Oscillatory motion, oscillator, harmonic oscillations, superposition and decomposition of oscillations, free, damped and forced oscillations, coupled oscillators.
- Waves. Travelling wave, phase velocity, wave reflection, refraction, diffraction, superposition and interference, standing wave, resonance vibrations in a string and in a tube, wave equation.
- Physical acoustics. Acoustic displacement and pressure, sound propagation velocity, acoustic impedance, specific power and intensity, sound pressure and intensity levels, sound field, Doppler effect.
- Music acoustics. Tone and noise, musical interval, consonance and dissonance, musical scale, natural and equal temperament tuning, tone color, musical instruments, noise.
- Physiological acoustics. Sound perception, spectral composition, sum and difference tones, volume, sound masking, sound measurement, noise.
- Ultrasound and infrasound. Properties, sources and detectors, propagation, effects, utilization, ultrasound diagnostics and defectoscopy.
Laboratory exercise
Teacher / Lecturer
Syllabus
- Movement of the body on an inclined plane, impact forces.
- Moment of inertia, gyroscope.
- Study of oscillatory motion.
- Composition and decomposition of periodic signals, sum and difference tones, sound masking.
- Resonance vibrations of string.
- Sound/noise measurement, Doppler Phenomenon, ultrasound diagnostics.
Exercise in computer lab
Teacher / Lecturer
Syllabus
- Mass point mechanics - projectile motion, inclined plane, equation of motion, software tools for its solution, choice of initial conditions, display and interpretation of the solution.
- Gravitational Field - solving body motion in a central-force field.
- Rigid body - equations of motion for translational and rotational motion, gyroscope, impact of bodies.
- Pendulums - linear and nonlinear description, chaotic behavior of the double pendulum.
- Oscillations - free, dumped and forced oscillations, coupled oscillators, Lissajous figures.
- Acoustics - superposition and interference of waves, creation of sum and difference tones.
Project
Teacher / Lecturer
Syllabus
- Individual project No. 1 (20 points): Mechanics
- Individual project No. 2 (20 points): Acoustics