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Course Syllabus




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Ternopil State Technical University


Physics I Spring 2008

Course Syllabus



Course Overview


In a wide sense, physics is a science which describes a nature. To reveal the laws of the nature, physical science makes use of experiments, theoretical methods and computer modeling. In the course of Physics 1-2-3 an account of contemporary physical science will be done. Some of basic physical, already known by you will be reformulated, an attempt to unite all of physical science to produce an integral description of nature will be made. Questions not resolved so far, will be characterized from the point of view of contemporary physical theories. Emphasis will be made on developing practical skills in building up models of real processes and solving problems analytically. To improve experimental skills and to illustrate important theoretical questions, parallel laboratory sessions will be arranged. Note, that completing of the laboratory assignment is mandatory for passing the course.


Course goals


By the end of the 1st semester every student will/should be familiar with basic physical phenomena and laws; master the fundamental physical concepts and classical theories, methods of physical science, principles of physycal modeling, methods of problem solving, experimental technics, experimental data analysis; will develop skills in formulating models of physical features, solving problems on classical mechanics and thermodynamics.


Recommended Textbooks:

“Fundamentals of Physics” by D.Halliday, R.Resnick and J.Walker.

“Light and Matter” by Benjamin Crowell, www.lightandmatter.com

“Calculus Based Physics” by Jeffrey W.Schnick, creativecommons.org


Course WebPage: http://www.tu.edu.te.ua/kafedra/physics/phys_PK1.htm


Course Structure


^ Мodule 1 – Fundamentals of mechanics


Units

Academic hours*

Lectures


^ Problem solving

Laboratory

Independent

work

1

Kinematics and dynamics

3

4

2

9

2

Mechanical work and energy. Mechanical forces

3

2

2

8

3

Rotational motion of a solid

3

2

2

8

4

Motion in non-inertial reference frames. Fundamentals of special relativity

1



-

6

^ Total (hrs):

8

8

6

46



Мodule 2 – Oscillations and waves. Molecular physics and thermodynamics


Units

Academic hours

Lectures


^ Problem solving

Laboratory

Independent

work

1

Mechanical oscillations and waves

3

2

2

9

2

Ideal gas model.

2

2

2

6

3

Laws of thermodynamics

2

2

2

6

4

Condensed matter

1

2

2

9

^ Total (hrs):

8

8

8

30



*Every lecture, class or laboratory work lasts 1 hour and 20 min what is equal to two academic hours


1 semester


Lectures - 16

Problem solving - 16

Laboratory sessions - 16

Total workload (academic hours) - 48


Independent work - 82


2.1. Lectures




Topics

1.

Introduction. Methods of physical science. Metric system of units. Basic notions of dynamics: space, time, motion. Reference systems. Physical quantities, vectors in physics.

2.

Kinematics of translational and rotational motion.

3.

Newtonian dynamics of a mechanical system. Center of mass and its equation of motion. Conversation of momentum.

4.

Fundamental interactions. Gravitational forces. Weight and imponderability. Elastic deformations and Hooke’s law. Friction of rigid bodies and fluid.

5.

Mechanical work. Power. Kinetic and potential energy. Physical fields. Conservative and dissipative forces. Relation between potential energy and force. Conditions of equilibrium. Energy of a strained body. Energy of gravitational interaction. Energy conservation.

Motion of an ideal liquid. Bernoulli equation.

6.

Dynamics of rotational motion. Kinetic energy and work in rotational motion. Conservation of angular momentum. Giroscopes.

7.

Motion in non-inertial frames of reference. Forces of inertia.

8.

Special relativity. Postulates of special relativity. Lorentz transformations. Relativistic effects. Fundamentals of relativistic dynamics. Relation between mass and energy. Basics of general relativity.

9.

Free harmonic oscillations. Simple pendulum, physical pendulum, mass-spring system. Energy in harmonic motion. Superposition of oscillations. Damped oscillations. Forced oscillations. Resonance.

10.

Transverse and longitudinal waves in elastic continuum. Wave equation. Wave energy. The principle of wave superposition. Wave packet. Wave interferention and diffraction. Standing waves. Sound and its perception.

11.

Statistical and thermodynamic methods. Fundamentals of molecular kinetic theory. Ideal gas model. Heat capacity of ideal gas. Maxwell distribution of molecule velocities. Barometric formula. Boltzmann distribution for particles in external potential field. Mean free path of molecules. Diffusion, thermal transport, internal friction in a fluid.

12.

1st law of thermodynamics and its applications to iso-processes in gases. Adiabatic processes. Work in iso-processes.

13.


Reversible and irreversible processes. Cycles. Heat engines and refrigerating plants. Carnot cycle and its thermal efficiency. 2nd law of thermodynamics. Free energy and entropy.

14.

Deviations from ideal gas laws. Models of intermolecular interaction. Van-der-Waals equation. Critical state of a matter. Gases liquefaction.

15.

Characteristics of liqiuds. Viscosity and superfluidity. Structure and thermal properties of solid state. Defects in crystals.

16.

Phase equilibrium condition. The simplest phase diagram. Phase transitions of 1st and 2nd order. Clapeyron-Clausius equation. Matter at extreme conditions.


2.2. Problem solving





Topic

1.

Problem solving strategies. Kinematics.

2.

Dynamics of translational motion.

3.

Forces in dynamics. Work and energy.

4.

Rotational motion of a rigid body.

5.

Mechanical oscillations and waves. Motion in non-inertion reference frames. Fundamentals of special relativity.

6.

Molecular theory of an ideal gas.

7.

Laws of thermodynamics.

8.

Real gases, liquids and solids.



2.3. Laboratory sessions


1. Introductory lection: safety measures, physical measurements, data and error analysis. Estimations. Experimental techniques and appliances. (2 hrs.)

2. Team work on demo-assignment. Application of physical measurements technics, data and error analysis in the lab. (2 hrs.)

3. Work on individual assignments (12 hrs.)





Subject of laboratory experiment

Acronym

1.

Demonstration of physical measurements techniques, data and error analysis

on example of determination of a rigid body density

Lab 1

2.

Study of translational motion laws with Atwood machine

Lab 2

3.

Study of rotational motion of rigid body on Oberbek pendulum

Lab 3

4.

Determination of a fly-wheel moment of inertia and friction torque

Lab 4

5.

Determination of moment of inertia using torsion pendulum

Lab 5

6.

Determination of Young modulus by bending test of metallic bar

Lab 6

7.

Determination of free fall acceleration using physical pendulum

Lab 7

8.

Determination of logarithmic decrement and damping coefficient of oscillator

Lab 8

9.

Study of mechanical laws on example of torsion pendulum

Lab 9

10.

Determination of sound velocity by interferention method

Lab 10

11.

Determination of liquid viscosity by Stockes method

Lab 11

12.

Determination of liquid viscosity using capillar viscosimeter

Lab 12

13.

Determination of mean free path and effective diameter of molecule by measuring of air viscosity

Lab 13

14.

Determination of the rate of specific heats by Clemand-Desormes method

Lab 14

15.

Determination of surface tension coefficient by drops comparison method

Lab 15

16.

Determination of surface tension coefficient by a ring tearing from a liquid surface

Lab 16

17.

Determination of linear thermal expansion coefficient for a solid

Lab 17



^ 2.4. Topics for independent work




Topics

1.

Metric system of units. Basic notions of dynamics: space, time, motion. Reference systems. Vector algebra.

2.

Equations of kinematics for translational and rotational motion and their application to one-dimensional, two-dimensional and circular motions.

3.

Application of the law of momentum conversation to elastic collisions. Motion of a system with varying mass.

4.

Fundamental interactions. Gravitational forces. Weight and imponderability. Elastic deformations and Hooke’s law. Friction of rigid bodies and fluid.

5.

Mechanical work. Power. Kinetic and potential energy. Physical fields. Conservative and dissipative forces. Relation between potential energy and force. Conditions of equilibrium. Energy of a strained body. Energy of gravitational interaction. Energy conservation.

Motion of an ideal liquid. Bernoulli equation.

6.

Dynamics of rotational motion. Kinetic energy and work in rotational motion. Conservation of angular momentum. Giroscopes.

7.

Motion in non-inertial frames of reference. Forces of inertia.

8.

Special relativity. Postulates of special relativity. Lorentz transformations. Relativistic effects. Fundamentals of relativistic dynamics. Relation between mass and energy. Basics of general relativity.

9.

Free harmonic oscillations. Simple pendulum, physical pendulum, mass-spring system. Energy in harmonic motion. Superposition of oscillations. Damped oscillations. Forced oscillations. Resonance.

10.

Transverse and longitudinal waves in elastic continuum. Wave equation. Wave energy. The principle of wave superposition. Wave packet. Wave interferention and diffraction. Standing waves. Sound and its perception.

11.

Statistical and thermodynamic methods. Fundamentals of molecular kinetic theory. Ideal gas model. Heat capacity of ideal gas. Maxwell distribution of molecule velocities. Barometric formula. Boltzmann distribution for particles in external potential field. Mean free path of molecules. Diffusion, thermal transport, internal friction in a fluid.

12.

1st law of thermodynamics and its applications to iso-processes in gases. Adiabatic processes. Work in iso-processes.

13.


Reversible and irreversible processes. Cycles. Heat engines and refrigerating plants. Carnot cycle and its thermal efficiency. 2nd law of thermodynamics. Free energy and entropy.

14.

Deviations from ideal gas laws. Models of intermolecular interaction. Van-der-Waals equation. Critical state of a matter. Gases liquefaction.

15.

Characteristics of liqiuds. Viscosity and superfluidity. Structure and thermal properties of solid state. Defects in crystals.

16.

Phase equilibrium condition. The simplest phase diagram. Phase transitions of 1st and 2nd order. Clapeyron-Clausius equation. Matter at extreme conditions.

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