Lecture : 2 Year : II
Tutorial : 1 Part : I
Practical : 0
Course Objectives:
The purpose of the course is to provide basic knowledge of engineering mechanics dynamics portion to the students such that they can understand the basics of kinematics and kinetics for both particles and rigid bodies and their motion. Read more syllabus for Bachelor in Geomatics Engineering (BGE).
 Curvilinear Motion of Particles (4 hours)
 Position vector, velocity and acceleration
 Derivatives of vector functions
 Rectangular component of velocity and acceleration
 Motion relative to frame in translation
 Tangential and normal components
 Radial and transverse components
 Kinetics of particles: Energy and Momentum Methods (5 hours)
 Work done and force
 Potential and kinetic energy of particles
 Principles of work and energy: applications
 Power and efficiency
 Conservation of energy
 Principle of impulse and momentum
 Impulsive motion and impact
 Direct central and oblique impact
 System of particles (5 hours)
 Newton’s laws and a system of particles
 Linear and angular moment for a system of particles
 Motion of the mass centre
 Conservation of momentum
 Kinetic energy of system of particles
 Work energy principles; Conservation of energy for a system of particles
 Principles of impulse and momentum for a system of particles
 Steady stream of particles
 System with variable mass
 Kinematics of Rigid Bodies (6 hours)
 Introduction
 Translation and rotation
 General plane motion
 Absolute and relative velocity in plane motion
 Instantaneous centre of rotation
 Absolute and relative frame; Coriolis acceleration in plane motion
 Rate of change of a general vector with respect to a rotating frame; Coriolis acceleration
 Motion about a fixed point
 General motion
 Threedimensional motion of a particle relative to a rotating frame; coriolis acceleration
 Plane Motion of Rigid Bodies:Forces, Moments, and Accelerations (4 hours)
 Definitions: rigid bodies
 Equation of motion for a rigid Body in plane motion
 Angular momentum of a rigid body in plane motion
 Plane motion of rigid body: D’Alembert’s principle
 Application of rigid body motion in the plane
 Constrained motion in the plane
 Plane motion of rigid bodies: energy and momentum methods (6 hours)
 Principle of work and energy for a rigid body
 Work done by external forces
 Kinetic energy for a system
 Conservative and nonconservative systems
 Work – energy applications
 Impulse and momentum for systems for rigid bodies
 Conservation of angular and linear momentum
 Impulsive motion and eccentric impact
Tutorials:
6 tutorials, 2 mini projects
References:
 Hibbler, R.C. “Engineering Mechanics” (Statics and Dynamics)”,
 Beer F.P. and E.R. Johnson “Vector Mechanics for Engineers”, , 2nd Edition, Tata McGraw Hill Publishing Co. Ltd., 1998
 Shames, I.H “Engineering Mechanics – Statics and Dynamics”., 3rd Edition, New Delhi, Prentice Hall of India, 1990
 Egor .P. Popov “Engineering Mechanics of Solids”, , 2nd Edition, New Delhi, Prentice Hall of India, 1996
Evaluation Scheme:
The questions will cover all the chapters of the syllabus. The evaluation scheme will be as indicated in the table below:
Chapters

Hours

Marks distribution*

1

4

4

2

5

8

3

5

8

4

6

8

5

4

4

6

6

8

Total

30

40

*There may be minor deviation in marks distribution.