This course shall assume background in calculus. It covers basic principles of vector analysis, which are used in mechanics. Moreover, this course introduces the fundamental principles in mechanics. The course gives an overview and understanding of basic physics, with moderate use of mathematical formalism.

The primary aim of this course is to provide a solid foundation for students in the field of mechanical engineering.

**Pre-Requisites:**

Calculus-I & Calculus-II

**Intended Learning Outcomes**

Upon successful completion of this course, students should be able to

- Identify and manipulate forces and their resultants in one- two- and three dimensions.
- Recognise and classify moments and couples created by forces.
- Centre of mass and inertia tensor of mechanical systems.
- Application of the vector theorems of mechanics and interpretation of their results.
- Analyse and demonstrate the stability conditions of mechanical equilibrium.

**Contents**

**Vector Analysis:**

- Scalar and vector triple product
- Differentiation of vector functions
- 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:**

- Munawar H., Ahmed C.B. Elementary Vector Analysis. 1st ed. Lahore:The Caravan Book House.
- Yousuf S.M. Vector analysis. Lahore: Ilmi Ketab Khana.
- Ashraf M. Vector analysis. Lahore: Ilmi Ketab Khana.
- Ghori Q.K., Mechanics. Lahore: West Pakistan Publishing Company.

**Suggusted Books:**

- Mir K.L. Mechanics. Lahore: Ilmi Ketab Khana.
- Young E.C. Vector and Tensor Analysis, Mareel Dekker, Inc, 1993

**Description of system of evaluation (homework, midterms, final, assignments etc.): **

- Homework, Exercises, Attendance, Assignments: 20%
- Midterm: 30%, Final Term: 50 %

Wednesday: 9:30am-11:00am (Regular) & 12:30pm-2:00pm (Self Support)

Thursday: 8:00am-9:30am (Regular) & 12:30pm-2:00pm (Regular)

Commencement of Classes January 13, 2020

Mid Term Examination March 09-13, 2020

Final Term Examination May 04-08, 2020

Declaration of Result May 19, 2020