ENGINEERING MECHANICS ME 502 Lecture : 3 Year : II Tutorial : 1 Part : I Practical : 0

Course Objective:

To provide the fundamental principles, concepts and application of mechanics for solving engineering problems. To become familiar with the analytical/graphical methods for solving problems of mechanics, mainly of dynamics.

 1. Virtual Work (2 hours) 1.1 Definition of Work and Virtual Work 1.2 Principal of Virtual Work for a Particle and a Rigid Body 1.3 Uses of the Principal of Virtual Work 1.4 Virtual Work Done by Moments
 2. Kinetics of Particles: Force, Mass and Acceleration (6 hours) 2.1 Newton’s Second Law of Motion 2.2 Consistent System of Units 2.3 Equations of Motion: Radial and Transverse Components 2.4 Dynamic Equilibrium: Inertia Force 2.5 Principle of Motion of the Mass Centre 2.6 Motion due to a Central Force, Conservation of Momentum 2.7 Newton’s Law of Gravitation
 3. Kinetics of Particles: Work Energy Principles (4 hours) 3.1 Work Done by a Force 3.2 Kinetic Energy of a Particle 3.3 Principle of Work and Energy, Applications 3.4 Power and Efficiency 3.5 Potential Energy 3.6 Conservation of Energy
 4. Kinetics of Particles: Impulse and Momentum (6 hours) 4.1 Principle of Impulse and Momentum 4.2 Impulsive Motion and Impact 4.3 Direct Central Impact 4.4 Oblique Central Impact
 5. Kinematics of Rigid Bodies (7 hours) 5.1 Introduction to Plane Kinematics of Rigid Bodies 5.2 Translation, Rotation and General Plane Motion 5.3 Absolute and Relative Velocity in Plane Motion 5.4 Instantaneous Centre of Rotation

5.5Absolute and Relative Acceleration in Plane Motion

5.66.6 Motion Relative to Rotating Axis; Coriolis Acceleration

6.Plane Kinetics of Rigid Bodies: Force, Mass and Acceleration (8 hours)

6.1Mass Moment of Inertia

6.1.1Moment of Inertia of Mass

6.1.3Parallel Axis Theorem

6.1.4Mass moment of inertia of Composite Bodies

6.2Force and Acceleration

6.2.1Equations of Motion for a Rigid Body

6.2.2Angular Momentum of a Rigid Body in Plane Motion

6.2.3Plane Motion of a Rigid Body: D’Alembert’s Principle

6.2.4Application of Rigid Body Motion in the Plane

6.2.5Constrained Motion in the Plane

 7 Plane Motion of Rigid Bodies: Work and Energy Method (4 hours)

7.1Work Energy Relations

7.2Work of a Force on a Rigid Body

7.3Kinetic Energy of a Rigid Body

7.4Principle of Work and Energy for a Rigid Body

7.5Acceleration from Work Energy Method

8.Plane Motion of Rigid Bodies: Impulse and Momentum Method (4 hours)

8.1Impulse and Momentum of a Rigid Body

8.2Conservation of Angular and Linear Momentum

8.3Impulsive Motion and Eccentric Impact of Rigid Bodies

 9. Lagrangian Dynamics (4 hours) 9.1 Degree of Freedom in mechanical systems and Generalized Coordinates 9.2 D’Alembert’s – Lagrange Principle and Lagrange Equations of motion 9.3 Differential equation of motion for a system of particles 9.4 Conservation Theorems

Tutorials

There should be at least one assignment from each chapter and 2 assessment tests during the semester.

References

1.F.P. Beer and E.R. Johnston, “Mechanics for Engineers – Statics and Dynamics”, Mc Graw Hill.

2.R.C. Hibbler, “Engineering Mechanics – Dynamics”, Pearson, New Delhi.

3.J.C. Jong and B.G. Rogers, “Engineering Mechanics, Statics and Dynamics”- Saunders College Publishing, International Edition

4.Bela I. Sandor, “Engineering Mechanics – Dynamics”, Prectice Hall, Inc.,Englewood Cliffs.

5.J.L. Meriam.,”Engineering Mechanics – Statics and Dynamics”, John Wiley and Sons.

Evaluation Scheme:

The questions will cover all the chapters of the syllabus. The evaluation scheme will be as indicated in the table below:

 Unit Chapter Topics Marks 1 2 & 3 all 16 2 4 & 7 all 16 3 5 all 16 4 6 all 16 5 1, 8 & 9 all 16 Total 80
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