Vector Analysis and Mechanics

Prerequisite(s): Calculus-I and Calculus-II

Credit Hours: 3+0

Objectives of the course:

This course shall assume background in calculus. It covers basic principles of vector analysis, which are used in mechanics.

Course Contents:

Vector Analysis: Scalar and vector triple product, differentiation and integration of vector functions. gradient, divergence, and curl of vector point functions.

Mechanics: Composition and resolution of co-planar forces. moments, couples and conditions of equilibrium under the action of co-planar forces, frictional forces, laws of friction, equilibrium of bodies on rough surfaces, principle of virtual work and related problems, center of gravity, center of mass of various bodies, kinematics of a particle in Cartesian and polar co-ordinates, linear and angular velocity, rectilinear motion with uniform and variable acceleration, simple harmonic motion, projectile motion, motion along horizontal and vertical circles, orbital motion, planetary motion and keplar’ laws, conservative forces, damped and forced vibrations.

Recommended Books:

1.Munawar H., Saeed S.M. Ahmed C.B. Elementary Vector Analysis. 1st ed.
   Lahore:The Caravan Book House.

2. Yousuf S.M. Vector analysis. Lahore: Ilmi Ketab Khana.

3. Ashraf M. Vector analysis. Lahore: Ilmi Ketab Khana.

4. Ghori Q.K., Mechanics. Lahore: West Pakistan Publishing Company.

6. Mir K.L. Mechanics. Lahore: Ilmi Ketab Khana.

7. Young E.C. Vector and Tensor Analysis, Mareel Dekker, Inc, 1993

ASSESMENT CRITERIA

Mid Term exam: 30 marks

Sessional: 20 marks

Final Term Exam: 50 marks

Total: 100 marks