## AEM 2021: Statics and Dynamics

### Catalog Description

**Syllabus**

**AEM 2021**

Statics and Dynamics

4 credits

**Catalog Description**:

Force and moment vectors, resultants. Principles of statics and free-body diagrams. Applications to simple trusses, frames, and machines. Properties of areas, second moments. Internal forces in beams. Laws of friction. Principles of particle dynamics. Mechanical systems and rigid-body dynamics. Kinematics and dynamics of plane systems. Energy and momentum of 2-D bodies and systems.

**Course Web Address**:

http://www.aem.umn.edu/courses/aem2021/

**Prerequisites by Topic**:

- Multivariable Calculus (Math 2374, concurrent)
- Particle Mechanics (Physics 1301)

**Text**:

Beer and Johnston, *Vector Mechanics for Engineers,
Statics and Dynamics, *8^{th} ed., McGraw-Hill, 2007.

**Format of Course**:

4 hours of lecture per week and 1 hour of recitation per week

**Computer Usage**:

(none)

**Course Objectives**:

Develop an understanding of the principles of statics and dynamics, and the ability to analyze problems in a systematic and logical manner, including the ability to draw free-body diagrams. Ability to analyze the statics of trusses, frames and machine and the dynamics of particles, systems of particles and rigid bodies.

**Course Outcomes**:

Students who successfully complete the course will demonstrate the following outcomes by tests, homework, and written reports:

- An ability to construct free-body diagrams and to calculate the reactions necessary to ensure static equilibrium.
- An understanding of the analysis of distributed loads.
- A knowledge of internal forces and moments in members.
- An ability to calculate centroids and moments of inertia.
- A knowledge of kinematic and kinetic analyses and energy and momentum methods for particles and systems of particles.
- A knowledge of kinematic and kinetic analyses and energy and momentum methods for rigid bodies.

**Relationship of course to program objectives**:

This course develops the fundamentals of engineering mechanics and problem solving skills essential for mechanical engineering.

**Relationship of course to program outcomes**:

This course provides the following outcomes:

- Apply mathematics
- Identify engineering problems

**Course Outline**:

Lectures |
Topics |

4 |
Equilibrium of Particles in 2-D and 3-D |

6 |
Equivalent Systems of Forces, moments, couples |

1 |
Equilibrium of Rigid Bodies in 2-D |

2 |
Equilibrium of Rigid Bodies in 3-D |

2 |
Centroids and Centers of Gravity |

2 |
Analysis of Structures: frames and machines |

4 |
Forces in Beams |

2 |
Friction |

5 |
Kinematics of Particles |

3 |
Kinetics of Particles: Newton’s second law |

5 |
Energy and Momentum Methods for Particles |

4 |
Systems of Particles |

7 |
Plane Motion of Rigid Bodies: Kinematics |

4 |
Plane Motion of Rigid Bodies: Kinetics |

3 |
Plane Motion of Rigid Bodies: Energy and Momentum Methods |

**Outcome Measurement**:

Accomplished through homework, periodic quizzes and exams, and a final exam.

**Student Survey Questions:**

** **

In this course, I gained:

1. An ability to apply knowledge of math, science, and engineering.

2. An ability to identify, formulate, and solve engineering problems.

Please answer the following questions regarding the course:

3. The textbook was clearly written and appropriate for the course.

4. The homework helped me to understand the concepts presented in the course.

5. The tests were appropriate in length and content.

6. The level of work required in this course was appropriate for the credit given.

In this course I acquired the following:

7. A knowledge of the principles of statics.

8. An ability to construct free-body diagrams.

9. An understanding of the statical analysis of trusses, frames and machines.

10. A knowledge of internal forces in members.

11. An ability to calculate centroids and moments of inertia.

12. A knowledge of the laws of friction.

13. A knowledge of the general principles of dynamics.

14. A knowledge of kinematic and kinetic analysis of particles and systems of particles.

15. A knowledge of momentum methods for particles and systems of particles.

16. A knowledge of energy methods for particles and systems of particles.

17. A knowledge of kinematic and kinetic analysis of rigid bodies.

18. A knowledge of momentum methods for rigid bodies.

19. A knowledge of energy methods for rigid bodies

**Last modified**:

** **

2007-5-15

*Last Modified: 2007-07-24 at 10:04:44*
-- this is in
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