To provide solid understanding of classical mechanics and enable the students to use this understanding while studying courses on quantum mechanics ,statistical mechanics, electromagnetism, fluid dynamics, space-flight dynamics, astrodynamics and continuum mechanics.

Learning Outcomes

1. define and understand basic mechanical concepts related to discrete and continuous mechanical systems,
2. describe and understand the vibrations of discrete and continuous mechanical systems,
3. describe and understand planar and spatial motion of a rigid body,
4. describe and understand the motion of a mechanical system 

Contents

Kinematics: Rectilinear motion of particles. Uniformly accelerated rectilinear motion. Curvilinear motion of particle, rectangular components of velocity and acceleration, tangential and normal components of 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 and angular 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 an inverse square field. Escape velocity. Planer Motion of Rigid Bodies: Introduction to rigid bodies, translations, rotations. Linear and angular velocity of a rigid body about a fixed axis, moments and products of inertia. Parallel and perpendicular axis theorem. Motion of Rigid Bodies in Three Dimensions: General motion of rigid bodies in space. Angular momentum and moment of inertia. Principal axes and principal moments of inertia. Determination of principal 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 a rigid 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. Goldstein H. Classical Mechanics, Addison-Wesley Publishing Co, (1980).

2. Spiegel M. R. Theoretical Mechanics, 3rd Edition, Addison-Wesley Publishing 

    Company, (2004).

3.  Mir K.L. Theoretical Mechanics: Ilmi Ketab Khana. Lahore, (2007).           

Suggested Books

1. Goldstein H. Classical Mechanics, Addison-Wesley Publishing Co, (1980).

2. Spiegel M. R. Theoretical Mechanics, 3rd Edition, Addison-Wesley Publishing 

    Company, (2004).

Reserah Products / Practicals /Labs /Assignments

Exercises are given as assignments to student to check their level of understanding.

Assignments criteria

Sessional: 20 (Presentation / Assignment 10, Attendance 05, Quiz 05)

Mid-Term Exam:   30

Final-Term Exam: 50

Key Dates and Time of Class Meeting

BS (Math Reg)

Monday                                                                                   8:00 am-9:30 am

Tuesday                                                                                  8:00 am-9:30 am

BS (Math SS)

Monday                                                                                   12:30 pm-2:00 pm

Tuesday                                                                                  12:30 pm-2:00 pm

Commencement of Classes                                                   February 22, 2021

Mid Term Examination                                                            April 19-23, 2021

Final Term Examination                                                          June 21-25, 2021

Declaration of Result                                                              July 02, 2021