**Description**

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 and continuum mechanics.

**Pre Requisites**

Vector Analysis & Mechanics

**Learning Outcomes**

In the end of this course, students will be able to understand a set of core concepts—space, time, mass, force, momentum, torque, and angular momentum in order to solve the most famous physics problem, the motion of the planets.

**Contents**

- Differential operators and its applications in classical motion,
- Curvilinear coordinates and motion of particles, rectangular components of velocity and acceleration,
- Line integrals and motion of particles in streaming, applications of del. operator to classical motion,
- Curl, divergence and gradients for the motion of particles,
- Surface and volume integrals in the streaming of particles,
- Gauss and Stokes theorem with significance,
- Green’s theorem and its applications,
- Green’s 1st and 2nd identity with related integrals,
- Central Forces and Planetary Motion: Central force fields, equations of motion, potential energy,
- Classical theory in planetary motion and law of inertia,
- Motion in an inverse square field. 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 diagonal zing the inertia matrix. Equimomental systems,
- Euler Equations of Motion of a Rigid Body: Rotating axes theorem. Euler’s dynamical equations,
- Free rotation of rigid body with three different principal moments, torque free motion of a symmetrical top and rotational kinetic energy,
- The Euler angles, angular velocity and kinetic energy in terms of Euler angles.

Recommended Books

- K.L. Mir,
*Theoretical Mechanics*(Ilmi Ketab Khana, Lahore, 2007). - K.R. Sankara,
*Classical Mechanics*(Prentice Hall of India, New Dehli, 2005).

Suggested Books

1 R. Murray Spiegel, Vector Analysis and an Introduction to Tensor Analysis (Schaum’s outlines, 1980).

**Assessment 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**

Monday & Tuesday 03:30 PM-05:00 PM (BS-VI Ex-PPP)

Tuesday & Wednesday 08:00 AM-09:30 PM (BS-VI Regular)

Wednesday & Thursday 12:30 PM-02:00 PM & 03:30 PM-05:00 PM (BS-VI BS-VI Self Support)

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