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Kinematics of paths and particle motion; kinetics of particles, rigid bodies and multi-body systems; Lagrangian formulation for mechanics of mechanical systems; holonomic and non-holonomic constraints; Lagrange's equations; Hamilton's principle for holonomic systems; classification and stability of vibratory systems; simple applications to vehicle dynamics, orbital motion, robotics.

## ME56200

3

### Learning Objective:

To provide a comprehensive understanding of the principles of dynamics of rigid bodies and multi-body systems, an introductions to ideas of stability, and to develop an ability to analyze such systems

### Description:

Kinematics of paths and particle motion; kinetics of particles, rigid bodies and multi-body systems; Lagrangian formulation for mechanics of mechanical systems; holonomic and non-holonomic constraints; Lagrange's equations; Hamilton's principle for holonomic systems; classification and stability of vibratory systems; simple applications to vehicle dynamics, orbital motion, robotics. Spring 2017 Syllabus (UPDATED) PDF.

### Topics Covered:

Kinematics of paths and particle motion, kinetics of particles, rigid bodies and multi-body systems; momentum and energy methods; linearized equations for mechanical systems; Lagrangian formulation for mechanics of mechanical systems; holonomic and non-holonomic constraints; Lagrange's equations; Hamilton's principle for holonomic systems; classification and stability of vibratory systems; applications to vehicle dynamics, orbital motion, robotics.

### Prerequisites:

Vectors and matrices; linear algebra and elements of ordinary differential equations--material covered in most undergraduate curricula in mechanical engineering and physics; undergraduate course in dynamics.

30 / 70

TBA

### Homework:

Homework will be assigned at completion of major topics. Approximately 6-8 homeworks will be assigned. Homeworks may be submitted via the blackboard website for the course.

Not required.

### Exams:

One (1-hour) midterm exam and one (two-hour) final exam.

### Textbooks:

Required--D.T. Greenwood, "Principles of Dynamics," Prentice-Hall, 1988, ISBN 013-709-9819.

### Computer Requirements:

ProEd minimum computer requirements.

None.

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