Weekly outline
Actual aspects of the modern knowledge about nature. Mechanics.
THE THEME#1. Kinematics in actual aspects of the modern knowledge about nature
Study questions:
- Introduction: the concept of the scientific picture of the world, mechanics.
- The physical values, main properties.
- The kinematics of a material point, some general definitions.
Goal:
- learn the method of determining a physical quantity;
- master the method of calculating the speed of movement of a material point and its acceleration;
- learn how to solve problems from this section
TOPIC 2. Curvilinear motion.
Study questions:
1. Curvilinear movement.
2. Angular velocity and angular acceleration.
3. Examples of calculating car kinematic characteristics.
Goal:
- learn the method of describing curvilinear movement;
- master the method of calculating angular values;
- to learn the application of kinematic characteristics
TOPIC 3. Elements of kinematics and mechanics of a solid body in modern natural science.
Study questions:
1. Kinematic relations.
2. Determination of the moment of force.
3. The basic equation of the dynamics of rotary motion.
4. Moment of inertia, moment of momentum of a solid body.
Goal:
- learn the technique of describing the moment of force and the moment of impulse;
- master the method of calculating the moment of inertia of a solid body;
- learn to apply the basic equation of the dynamics of rotary motion.
TOPIC 4. Dynamics of the material point in the aspect of modern natural science.
Study questions:
1. Galileo's mechanics as the basis of Newton's mechanics.
2. Newton's first law.
3. Newton's second law.
4. Newton's third law.
5. The nature of mechanical forces
6. Equation of oscillations of the spring suspension of the car (optional!). Learning questions
Goal:
- learn the method of determining the forces acting on the body;
- master the method of calculating body movement under the action of certain forces. ;
- learn how to make equations of motion and solve them.
TOPIC 5. A modern view of forces in Newtonian dynamics.
Study questions:
1. Gravitational forces.
2. Elastic forces.
3. Friction forces.
4. Dynamics of rotation of a material point. A car on a convex bridge.
5. Examples of calculating traction forces when towing a car (independently!).
Goal:
- learn the method of determining the nature of interactions between bodies;
- master the method of calculating dynamic characteristics during rotational motion;
- learn to apply the laws of dynamics
TOPIC 6. Laws of conservation in the mechanics of modern natural science.
Study questions:
1. Law of conservation of momentum.
2. Law of conservation of energy.
3. An example of calculating the dynamics of an armored car (armored vehicle).
Goal:
- learn the method of determining the closed system and the potential field;
- master the method of obtaining the laws of conservation of energy and momentum, using Newton's laws;
- learn to apply conservation laws.
TOPIC 7. Modern views on oscillations in mechanics, resonance.
Study questions:
1. Periodic processes, fluctuations.
2. Forced oscillations, resonance.
Goal:
- learn the method of determining oscillatory processes;
- to master the method of calculating oscillation parameters;
- learn to investigate the phenomenon of resonance.
TOPIC 8. Relativistic mechanics, a modern view of the world structure.
Study questions:
1. The principle of relativity.
2. Lorentz transformation.
3. Consequences of Lorentz transformations.
4. Tachyons are particles with supersonic speeds.
5. Speed of light, mass, energy in space and time.
Goal:
- learn the mechanics of the special theory of relativity;
- to master the method of calculation in various inertial frames of reference, taking into account the existence of the limit speed of propagation of interactions;
- learn to use the consequences of Lorentz transformations when solving problems.