The mechanics are divided into three sections: kinematics, dynamics, and statics. In the kinematics section, kinematic characteristics of motion such as displacement, speed, and acceleration are considered. Here it is necessary to use the apparatus of differential and integral calculus.
Classical dynamics is based on three Newton's laws. Here it is necessary to pay attention to the vector nature of the forces acting on the bodies included in these laws.
Dynamics covers such issues as the law of conservation of momentum, the law of conservation of total mechanical energy, the work of force.
When studying the kinematics and dynamics of rotational motion, attention should be paid to the relationship between angular and linear characteristics. Here we introduce the concepts of angular momentum, moment of inertia, angular momentum and consider the law of conservation of angular momentum
Formulas for mechanics:
- Speed instant
- The module of the velocity vector
- Average speed (module)
- Instant acceleration
- The module of the acceleration vector in rectilinear motion
- Acceleration in curved motion
- Acceleration in curved motion
- angular velocity
- angular acceleration
- The relationship between linear and angular quantities
- Impulse of a material point
- The basic equation of the dynamics of translational motion (Newton’s II law)
- Formulas of forces
- The law of conservation of momentum for a closed system consisting of two bodies
- Potential body energy
- Kinetic energy of translational motion
- Work of constant force
- Total mechanical energy
- Law of energy conservation
- The moment of inertia of bodies of mass m relative to the axis
- The moment of inertia of the body about an arbitrary axis (Steiner theorem)
- Moment of force (module)
- The basic equation of the dynamics of rotational motion
- moment of momentum
- The law of conservation of angular momentum
- Kinetic energy of rotational motion
- Work with rotational movement
Classical dynamics is based on three Newton's laws. Here it is necessary to pay attention to the vector nature of the forces acting on the bodies included in these laws.
Dynamics covers such issues as the law of conservation of momentum, the law of conservation of total mechanical energy, the work of force.
When studying the kinematics and dynamics of rotational motion, attention should be paid to the relationship between angular and linear characteristics. Here we introduce the concepts of angular momentum, moment of inertia, angular momentum and consider the law of conservation of angular momentum
Formulas for mechanics:
- Speed instant
- The module of the velocity vector
- Average speed (module)
- Instant acceleration
- The module of the acceleration vector in rectilinear motion
- Acceleration in curved motion
- Acceleration in curved motion
- angular velocity
- angular acceleration
- The relationship between linear and angular quantities
- Impulse of a material point
- The basic equation of the dynamics of translational motion (Newton’s II law)
- Formulas of forces
- The law of conservation of momentum for a closed system consisting of two bodies
- Potential body energy
- Kinetic energy of translational motion
- Work of constant force
- Total mechanical energy
- Law of energy conservation
- The moment of inertia of bodies of mass m relative to the axis
- The moment of inertia of the body about an arbitrary axis (Steiner theorem)
- Moment of force (module)
- The basic equation of the dynamics of rotational motion
- moment of momentum
- The law of conservation of angular momentum
- Kinetic energy of rotational motion
- Work with rotational movement
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