Title:  Mechanics and Acoustics 

Code:  IMK 

Ac.Year:  2019/2020 

Sem:  Summer 

Curriculums:  

Language of Instruction:  Czech 

Credits:  6 

Completion:  classified credit 

Type of instruction:  Hour/sem  Lectures  Seminar Exercises  Laboratory Exercises  Computer Exercises  Other 

Hours:  26  0  12  12  12 

 Exams  Tests  Exercises  Laboratories  Other 

Points:  0  30  0  30  40 



Guarantor:  Koktavý Pavel, prof. Ing., CSc. Ph.D. (DPHYS) 

Deputy guarantor:  Grmela Lubomír, prof. Ing., CSc. (DPHYS) 

Lecturer:  Koktavý Pavel, prof. Ing., CSc. Ph.D. (DPHYS) 
Instructor:  Koktavý Pavel, prof. Ing., CSc. Ph.D. (DPHYS) 

Faculty:  Faculty of Electrical Engineering and Communication BUT 

Department:  Department of Physics FEEC BUT 

Schedule: 

  Learning objectives: 

  Understand the basic physical phenomena of mechanics and acoustics with emphasis on mastering the description and finding solutions to the basic problems of these areas so that the acquired skills can be later used in some computer applications, eg in signal processing or in modelling and simulation.  Description: 

  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.  Knowledge and skills required for the course: 

  Vector
operations. Fundamentals of differential calculus and integral calculus. For
students of the first year, it is sufficient to obtain knowledge of
differential and integral calculus in the parallel course of Mathematical analysis
(IMA or IMA1).  Learning outcomes and competencies: 

  Students
understand the basic physical processes of mechanics and acoustics, they are
able to formulate relevant laws both verbally and mathematically, they can
solve the basic problems related to these processes using suitable software
support and can present and interpret the obtained results. They are able to
describe and explain the laboratory experiments.  Why is the course taught: 

  It is very important to be able to analyze, describe and solve technical problems and situations around them for students of this school. In addition to these general skills, the students will acquire a great deal of specific knowledge in mechanics and acoustics, which they will use advantageously in a number of other courses for example in signal processing or modelling and simulation.  Syllabus of lectures: 


 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 behaviour, 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, twobody and threebody 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 colour, 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.
 Syllabus of laboratory exercises: 

 Laboratory
exercises lasting 2 hours take place
once every 2 weeks.
 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.
 Syllabus of computer exercises: 

 Computer exercises lasting 2 hours take place once every 2 weeks. Mass point mechanics  projectile motion, inclined plane, the 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 centralforce field.
 Rigid body  equations of motion for translational and rotational motion, gyroscope, the impact of bodies.
 Pendulums  linear and nonlinear description, chaotic behaviour of the double pendulum.
 Oscillations  free, dumped and forced oscillations, coupled oscillators, Lissajous figures.
 Acoustics  superposition and interference of waves, the creation of sum and difference tones.
 Syllabus  others, projects and individual work of students: 

 Each student
solves two projects, each of them contains selected problems from the given
area. For each problem, the student makes the description and then, with
appropriate software support, performs the solution with a graphical
representation and discussion of the results or simulates the course of the
specified process.
 Individual project No. 1 (20 points): Mechanics
 Individual project No. 2 (20 points): Acoustics
 Fundamental literature: 


 Halliday, D.; Resnick, R.; Walker, J. Fyzika. Vysoké učení technické v Brně, VUTIUM, Prometheus Praha, 2000, 2003, 2006, 2013.
 Feynman, R; Leighton, R; Sands, M. Feynmanovy přednášky z fyziky 13, Fragment 2001, 2007, 2013.
 Study literature: 


 Halliday, D.; Resnick, R.; Walker, J. Fyzika. Vysoké učení technické v Brně, VUTIUM, Prometheus Praha, 2000, 2003, 2006, 2013.
 Support Electronic texts
 Controlled instruction: 

  Attendance at
lectures is not compulsory. Knowledge of students is verified by two individual
projects and a final individual work (written work using software support). Compulsory
lessons are laboratory exercises and computer exercises. Wellexcused 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.  Progress assessment: 

   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.
Wellexcused 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.  
