Corresponding to each module, as described in the lectures section, the teachers handed out one or more sample problems. These are worked out examples that illustrate how to work with a certain method.

Next to the given sample problems, several recommended exercises are given. These exercises can be found in the textbook of this course (Analytical Mechanics, by Josef S. Tőrők). More on this textbook can be found in the readings section.

Sample problems:

Recommended exercises:

Solve the exercises in the provided order.

• 4.23 (The disk is mounted on the midpoint of the shaft, at a distance l/2 from each support. Find the reactions for the represented configuration first and then for an arbitrary time t)
• 4.73
• 4.74 (Read carefully)
• 4.75
• 4.76 (Determine also the moment transmitted by the motor supports to the airplane)
• 4.34
• 4.27
• 4.25 (Neglect terms involving the square of the precession. Why can that approximation be made?)
• 4.26 (Make the same approximation as for 4.25)
• Additional exercise: Identify the Euler angles in problem 4.73 and show that the turbine can be seen as a top with angle of nutation θ=π/2. Solve the problem taking this into account and compare with your previous results.