← General Physics: Mechanics

⇄ Sync
Length

Program
History and progress transfer
Choose a topic — problems will keep coming one after another for as long as you like

Theory of all steps of the program by blocks. Open a topic to read it.

How a session goes

A session is 10–90 minutes: a warm-up on what you've learned, new steps with short theory and problems, practice. Each problem gives two tries: 100 points on the first, 60 on the second; after the second mistake the correct answer is shown. You move on in the program if 70 % of the problems are solved.

Problems with numbers are generated anew every time a step is repeated. A fractional answer can be entered with a comma, a point or as a fraction: 0,5, 0.5, 1/2. In Practice any topic is available without a timer.

About the course

Kinematics with vectors and derivatives, curvilinear motion, dynamics of a particle, momentum and the centre of mass, work as an integral and potential energy, rotation of a rigid body: moment of inertia, the parallel axis theorem, angular momentum. Harmonic, damped and driven oscillations, resonance. Basics of special relativity.

Course program: 33 lessons

Kinematics

  1. Position vector, velocity and acceleration
  2. The inverse problem: integration
  3. Curvilinear motion: aτ and aₙ
  4. Projectile motion
  5. Kinematics: more problems
  6. Checkpoint: kinematics

Dynamics and momentum

  1. Newton's second law in components
  2. Drag force
  3. Non-inertial frames and inertial forces
  4. Momentum and the centre of mass
  5. Rocket propulsion, Tsiolkovsky's equation
  6. Dynamics and momentum: more problems
  7. Checkpoint: dynamics and momentum

Work and energy

  1. Work of a variable force and power
  2. Potential energy and force
  3. Conservation of energy
  4. Elastic and inelastic collisions
  5. Checkpoint: work and energy

Rotation of a rigid body

  1. Moment of inertia and the parallel axis theorem
  2. Torque and the equation of rotation
  3. Rotational energy and rolling
  4. Angular momentum and its conservation
  5. Rotation: more problems
  6. Checkpoint: rotation of a rigid body

Oscillations

  1. Harmonic oscillations and pendulums
  2. Adding oscillations and beats
  3. Damped oscillations
  4. Forced oscillations and resonance
  5. Checkpoint: oscillations

Special relativity

  1. Postulates of relativity and the Lorentz transformation
  2. Relativistic velocity addition
  3. Energy and momentum in relativity, E = mc²
  4. Checkpoint: relativity