Classical Mechanics 390-FS1-1MECH

Study profile: general academic
Form of study: full-time
Subject type: compulsory
Field and discipline of study: Field of exact and natural sciences, Discipline of physical sciences.
Level of education: first-cycle studies
Year of study/semester: 1st year/2nd year Semester
ECTS Credits: 7
Prerequisites:Students participating in lectures, calculation exercises, and laboratory classes should have basic knowledge of mathematics and physics acquired in the previous cycle of study.

Student Workload Balance:
- Participation in lectures (45 hours),
- Participation in tutorials (45 hours),
- Participation in laboratories (30 hours),
- Participation in consultations (15 hours),
- Student's own work at home (40 hours),

Quantitative Indicators:
- Student workload related to classes requiring direct teacher involvement - 5.4 ECTS;
- Student workload related to independent work - 1.6 ECTS.

Rules for the use of artificial intelligence (AI):
The use of AI systems during classes is permitted for the following purposes:
1. Machine translation of source texts from foreign languages.
2. Searching for and organizing scientific sources.
3. Creating simulations and modeling of physical phenomena discussed in lectures.

The use of AI systems during exams is prohibited.
If violations of the above rules are detected, the student may be held accountable under separate disciplinary regulations.

Students participate in lectures enriched with demonstrations of experiments illustrating the content. During calculus classes, students receive lists of problems to solve independently, the content of which is correlated with the lecture content. Laboratory classes involve independent conduct of basic mechanics experiments and writing a report, with particular emphasis on the analysis of measurement data and correct reasoning. During the classes, students present their solutions. The instructor pays particular attention to understanding the concepts used and the clarity of the presentation, and encourages questions and discussion among the group. The instructor strives to foster a sense of team responsibility within the group and encourages teamwork.

Course Content
1) Basic physical quantities, the International System of Units (SI), vector and scalar quantities, basic vector algebra, coordinate systems – Cartesian, polar, cylindrical, and spherical.
2) Kinematics of a material point – position vector, displacement, path, time, average and instantaneous velocity, average and instantaneous acceleration, equation of motion, relative motion.
3) Examples of motion in a plane – horizontal projection, oblique projection, circular motion (angular velocity and acceleration, tangential and centripetal acceleration).
4) Dynamics of a material point and a rigid body. Concepts of mass force, moment of inertia, momentum, and angular momentum. Inertial and non-inertial reference frames. Newton's laws of motion. Examples of important forces (gravity, friction, resistance, centripetal). Apparent inertial forces. The Coriolis force.
5) Universal gravitation. The law of universal gravitation, Kepler's laws, inertial and gravitational mass, the gravitational field and its intensity.
6) Work, energy, power. Kinetic energy, the work of gravity, the work of elastic forces, conservative and non-conservative forces, potential energy. The principle of conservation of energy.
7) The principle of conservation of momentum and angular momentum. The center of mass and the center of gravity, the momentum of a system of material points, elastic and inelastic collisions, the impulse of forces.
8) Rotational motion. The concept of a rigid body, the description of rotational motion, angular momentum, moment of inertia, Steiner's theorem, the second law of rotational motion, the principle of conservation of angular momentum, rotational kinetic energy, precession, the gyroscopic effect.
9) Waves in elastic media. Mechanical waves (transverse and longitudinal), variables describing wave motion, the simple harmonic wave equation. Elasticity, Hooke's law, the concepts of Young's modulus and bulk compressibility modulus. Wave interference, wave reflection, beats, sound waves, shock waves, the Doppler effect.
10) Fluid statics and dynamics. Parameters describing fluids. Pascal's principle, Archimedes' principle, fluid flow characteristics, the continuity equation, Bernoulli's principle, the motion of bodies in fluids.

Conversations:
Arithmetic exercises correlated with the lecture content.

Laboratory:
1) Overview of the principles of physics laboratory operation. Health and safety regulations.
2) Methodology for writing reports on completed experiments.
3) Completing exercises from the available list:
- Verifying Hooke's Law for a Spring
- Mathematical Pendulum
- Verifying Archimedes' Principle
- Verifying Steiner's Theorem
- Reversible Pendulum
- Uniformly Variable Motion
- Investigating Torsional Vibrations