Dynamics and Stability – Exercises Module 2: Work and Energy

Course week(s) 2. Work and Energy

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:

Bungee Jumper It is shown how to derive the equations of motion of a bungee jumper, as it is modeled as a mass-spring system. In this sample problem, the equations of motion are derived using the Lagrange approach (energy approach). More on this approach will be discussed in the following module.

Recommended exercises:

Solve the exercises in the provided order:

2.1
2.22
2.31 (with downward gravity)
2.17 (with downward gravity)
2.24 (with downward gravity)
2.16 (with downward gravity)
2.20 (with downward gravity, important exercise!)

Answers exercises This file contains answers and hints corresponding to the following recommended exercises of this module: 2.1, 2.16, 2.17, 2.20, 2.22, 2.24, 2.31.

Elaboration exercises This file contains elaboration of the following exercises: 2.17, 2.22, 2.53.

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