Institute of Information Engineering, Automation, and Mathematics

Course unit code:
N428F2_4B
Course unit title:
Physics I
Mode of completion and Number of ECTS credits:
Exm (5 credits)
Course contents:
1. Kinematics of a point mass. (allowance 2/2)

 a. Subject of physics, role of physics in the study of chemistry, relations to other subjects. Physical quantities, dimensions and units. International System of Units SI. Scalar and vector quantities. b. Kinematics of a point mass in scalar terms. Classification of motions from the point of view of the trajectory. Linear motion: position, velocity and acceleration. c. Clasifcation of motions from the point of view of the acceleration. Time dependence of the velocity and position for various types of the linear motion, initial conditions.

2. Kinematics of a point mass (continued). (allowance 2/2)

 a. Kinematics of a point mass in vector terms. Vector function of a scalar variable. Derivative of a vector function. General description of the position, position vector. Average and instantaneous velocity, average and instantaneous acceleration. b. Curved motion, decomposition of the acceleration to the tangential and normal component. c. Circular motion. Scalar and vector description of the circular motion, accelerations at the circular motion.

3. Dynamics of a point mass. (allowance 2/2)

 a. Newton's laws of motion, impulse. b. Equation of motion, methods of solving it. Examples - horizontal and skew throw. c. Limitations of the validity of the Newton's laws.

4. Dynamics of a point mass (continued). (allowance 2/2)

 a. Inertial forces in noninertial reference frames (frame in linear motion, rotating frame, centrifugal inertial force, Coriolis force. b. Work, power, efficiency. c. Conservative and nonconservative forces. Kinetic and potential energy and their relation to work.

5. Dynamics of a point mass (continued). (allowance 2/2)

 a. Potential energy for gravity and deformation forces. b. Law of conservation of mechanical energy of a point mass in a field of conservative forces.

6. Dynamics of a mass point system. (allowance 2/2)

 a. Degrees of freedom, center of mass, linear momentum theorem. b. Newton's second law for the motion of the center of mass. c. Angular momentum, angular momentum theorem.

7. Dynamics of a mass point system (continued). (allowance 2/2)

 a. Laws of conservation of the linear momentum, angular momentum, mechanical energy for a mass point system. b. First law of thermodynamics. c. Elastic and inelastic collisions of objects.

8. Dynamics of a rigid body. (allowance 2/2)

 a. Rigid body definition. Types of motion of a rigid body. b. Kinetic energy for rotational and combined motion of a rigid body. c. Rotational inertia about a rotational axis, parallel axis theorem (Steiner rule).

9. Dynamics of a rigid body (continued). (allowance 2/2)

 a. Work and power for rotational motion of a rigid body. b. Relation between the angular velocity and angular momentum. c. Equation of motion of a rigid body with a fixed axis, as example equation of motion of a physical pendulum.

10. Oscillations. (allowance 2/2)

 a. Harmonic oscillations, mechanical linear harmonic oscillator, energy of a mechanical linear harmonic oscillator. Solving of the equation of motion of a simple and physical pendulum. b. Oscillations of a diatomic molecule, reduced mass. Damped harmonic motion. c. Forced oscillations, resonance, resonance frequency and amplitude.

11. Oscillations (continued). (allowance 2/2)

 a. Composition of two parallel oscillations of the same and different frequencies. b. Composition of vertical oscillations.

12. Fluid mechanics. (allowance 2/2)

 a. Ideal fluid. b. Fluid dynamics. Description of fluid flow. Definition of a streamline, elementary volume flux and elementarry mass flux. Equation of continuity. Arial and volume forces. c. Mechanical energy of a flowing liquid and the work of the pressure forces - Bernoulli's equation. d. Examples of applications of the Bernoulli's equation - Torricelli's law, measurement of flux. e. Real liquids, definition of the viscosity. Laminar and turbulent flow.

13. Fluid mechanics (continued). (allowance 2/2)

 a. Fluid statics. Fundamental equation of fluid statics in a weight field. Hydrostatic pressure. b. Pascal's principle and Archimedes' principle.