# DYNM08005 2019 Dynamics 4

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**Description**

Dynamics is the study of moving objects. It analyses the forces involved and the resulting motion. This module takes the student from the basics of Newton's laws, displacement, velocity and acceleration, through to analysing linear and rotational systems and vibrations.

### Learning Outcomes

*On completion of this module the learner will/should be able to;*

**1.**

Apply Newton's laws to a variety of fundamental linear and rotational problems.

**2.**

Solve problems using the calculus relationships between displacement, velocity and acceleration.

**3.**

Solve problems involving variable or constant acceleration motion.

**4.**

Analyse linear systems, rotational systems and a combination of the two.

**5.**

Solve problems using energy methods.

**6.**

Appreciate the nature of vibrations and solve fundamental problems.

**7.**

Appreciate the use of Excel and other software as a tool to help solve dynamics problems..

### Teaching and Learning Strategies

Lectures and some associated laboratory work and demonstrations.

### Module Assessment Strategies

Continuous assessment (30%) to be made up of class tests, assignments and laboratory work as deemed appropriate.

Final written exam (70%)

### Repeat Assessments

A repeat written exam to be set for students who fail the module.

### Indicative Syllabus

**Foundation topics:**Newton's laws, momentum and impulse, friction, work, conservation of energy, power, vectors, centre of gravity (also with integration), centre of mass, equivalent force system.**Linear motion:**Displacement, velocity, acceleration, graphical representation, calculus relationships, variable acceleration, constant acceleration motion.**Curvilinear motion:**Projectile motion (drag force, air resistance considerations), polar coordinate system, angular velocity, circular motion.**Rotational system:**Angular acceleration and torque, moment of inertia for standard shapes and composite shapes, parallel and perpendicular axis theorems, kinetic energy due to rotation.**Undamped free vibrations:**simple harmonic motion, spring/mass system, pendulum (simple and compound), rotational system, natural frequency, stiffnesses in series and parallel.**Combined rotational and linear motion:**drum/mass system and other problems. Also solution by energy methods.**Dynamic balancing:**masses in single plane, masses in several transverse planes.**Damped free vibration:**overdamped, critically damped, underdamped, logarithmic decrement.**Gyroscopic motion:**angular momentum, conservation of angular momentum, gyroscopic torque, reactions at bearings.**Forced vibrations:**undamped and damped; harmonic force applied to mass, harmonic displacement applied to support, resonance. Reducing vibrations.**Mechanisms:**mechanism examples, relative velocity, velocity and acceleration diagrams,torque, power. Piston/crank mechanism.

### Coursework & Assessment Breakdown

**Coursework & Continuous Assessment**

**End of Semester / Year Formal Exam**

### Coursework Assessment

Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
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1 | Class tests / Assignments | Continuous Assessment | Assessment | 20 % | OnGoing | 1,2,3,4,5,6 |

2 | Laboratory work | Practical | Assessment | 10 % | OnGoing | 1,2,3,4,6,7 |

### End of Semester / Year Assessment

Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
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1 | Written Exam | Final Exam | Closed Book Exam | 70 % | End of Semester | 1,2,3,4,5,6 |

### Full Time Mode Workload

Type | Location | Description | Hours | Frequency | Avg Workload |
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Lecture | Flat Classroom | Lecture | 4 | Weekly | 4.00 |

Laboratory Practical | Engineering Laboratory | Practical work | 2 | Fortnightly | 1.00 |

### Required & Recommended Book List

**Recommended Reading**

2015

*Engineering Mechanics*

ISBN 1292088729 ISBN-13 9781292088723

**Recommended Reading**

1990-11-11

*Dynamics*Macmillan International Higher Education

ISBN 9781349104482 ISBN-13 1349104485

One of a new series of first year texts for undergraduate engineers, this book covers all of the Dynamics required by most Mechanical and other Engineering courses at this level. Its carefully structured programmed approach makes it suitable for use in self-paced learning. For series details and a list of other titles in the series, see Foundations of Engineering section.

**Recommended Reading**

1998

*Mechanical Technology*

ISBN 0831131357 ISBN-13 9780831131357

Completely revised to reflect the changing policies of the Business and Technician Education Council (BTEC) for courses leading to Higher National qualifications in mechanical engineering, Mechanical Technology, Third Edition provides full coverage of stress analysis, dynamics, thermodynamics, and fluid mechanics without sacrificing depth of treatment. It is unmatched by any other book in its class, and is a necessary reference for any engineer's library.

**Recommended Reading**

2005

*Physics for Scientists and Engineers*Benjamin-Cummings Publishing Company

ISBN 0131420941 ISBN-13 9780131420946

The third edition of this best-selling book remains vigorous while including a number of new elements which emphasize conceptual understanding. These elements include conceptual examples, "Thing About This" sections, and worked examples. Twenty-five percent of the end-of-chapter problems are new or revised. (Midwest).

### Module Resources

**Non ISBN Literary Resources**

Access to library.

Purchase by student of books on recommended reading list.

**Journal Resources**

As appropriate.

**URL Resources**

As appropriate.

**Other Resources**

As appropriate.