Classical Mechanics
Course Code: MATH-302
Prerequisite(s): Vector Analysis and Mechanics 
Credit Hours: 3+0
Objectives of the course:
To provide solid understanding ofclassical mechanics and enable the students to use thisunderstanding while studying courses on quantum mechanics,statistical mechanics, electromagnetism, fluid dynamics, space-flightdynamics, astrodynamics and continuum mechanics.

Course Contents:
Kinematics: Rectilinear motion of particles.Uniformly accelerated rectilinear motion. Curvilinear motion of particle,rectangular components of velocity and acceleration, tangential andnormal componentsof velocity and acceleration, radial and transverse components of velocity and acceleration. Projectile motion with air resistance. Kinetics: Work, power, kinetic energy and energy principal, conservative force fields, conservation of energy theorem, impulse, torque. Conservation of linear andangular momentum. Non-conservative forces.
Resisted Motion and Damped Forced Oscillator: Vertical motion with air resistance. Damped harmonic oscillator. Resonance frequency. Damped forced oscillations. Central Forces and Planetary Motion: Central force fields, equations of motion, potential energy, orbits. Kepler’s law of planetary motion.Apsides and apsidal angles for nearly circular orbits. Motion in aninverse square field. Escape velocity. Planer Motion of Rigid Bodies: Introduction to rigidbodies, translations, rotations. Linear and angular velocity of a rigid body about a fixed axis, moments and products of inertia. Parallel and perpendicular axistheorem.
Motion of Rigid Bodies in Three Dimensions: General motion ofrigid bodies in space. Angular momentum and moment of inertia.Principal axes and principal moments of inertia. Determination ofprincipal axes by diagonalizing the inertia matrix.Equimomental systems.
Euler Equations of Motion of a Rigid Body:Rotating axes theorem. Euler;s dynamical equations. Free rotation of arigid body with three different principal moments,torque free motion of a symmetrical top.The Eulerian angles,angular velocity and kinetic energy in terms of Euler angles..

Recommended Books:
1. DiBenedettoE. Classical Mechanics. Theory andMathematicalModeling,Birkhauser 
    Boston, (2011).
2. John R. Taylor. Classical Mechanics, University of Colorado,(2005).
3. Goldstein H.Classical Mechanics, Addison-Wesley PublishingCo, (1980). 
4. SpiegelM. R. Theoretical Mechanics, 3rd Edition, Addison-Wesley Publishing  
    Company,(2004).
5. FowlesG. R. and CassidayG. L. Analytical Mechanics, 7thedition, Thomson
    Brooks/COLE, USA,(2005).
6.  Richard Fitzpatrick. Classical Mechanics.The University of Texas at Austin,(2006).
7.  Mir K.L. Theoretical Mechanics:Ilmi Ketab Khana. Lahore, (2007).
8.  Ashraf M. Vector analysis and Mechanics: Ilmi Ketab Khana. Lahore, (2006).

Assessment Criteria:

Mid term. :30 marks

Sessional :20 marks

Final term:50 marks

Total.        :100 marks