# Mechanics

Instructor : Dr Pervez Hoodbhoy, Dr Fakharul Inam
Term : Fall 2011
Course Code : PHY 101
Course Status : SSE Core
Course Outline

## Course Description

Introduces the principles of classical mechanics. Straight-line kinematics; motion in a plane; relative inertial frames and relative velocity; forces; particle dynamics with force; work, conservative forces, potential energy and conservation of energy; conservation of momentum, center of mass and the center of mass reference frame; rigid bodies and rotational dynamics; conservation of angular momentum; central force motions; fluid mechanics.

### WEEKLY TOPICS, ASSIGNMENTS,QUIZZES, EXAMS

 Week Starting Date Lectures Tentative Topics Assignments Quizzes Exams 1-2 7-Sep, 12-Sep 2011 1(a,b,c)- 2–3–4 Review of calculus, functions and limits, derivatives of algebraic and trigonometric functions. ‘L’ Hospital rule and its applications.Derivatives of exponential and logarithmic function Assignment 1 Solution 3 19-Sep-2011 Dengue Break 4 26-Sep-2011 5(a,b)-6 -7(a,b) Integration. Fundamental theorems of calculus and their applications Assignment 2 Solution 5 3-Oct-2011 8–9 Dimensions and its applications, system of units, derived units. Kinematics (introduction to position, displacement, velocity, acceleration) Assignment 3 Solution Quiz 1 Solution 6 10-Oct-2011 10(a,b)-11–12 Vectors, types of vectors (negative vector, zero vector, position vector, etc.), multiplication of vectors, scalar product and its properties, vector product and its properties, algebraic approach to vectors, basic vectors Assignment 4 Solution 7 17-Oct-2011 13–14–15 Motion under gravity, projectile motion, dynamics (inertia, friction), Newton Laws Assignment 5 Solution 8 24-Oct-2011 16–17–18 Motion on an incline plane, free body diagram, relative velocity, acceleration, rotational motion Assignment 6 Solution 9 31-Oct-2011 19-20–21 Canonical pendulum, work, conservative and non-conservative field and force, momentum, collisions; Elastic collisions 10 7-Nov-2011 Eid-ul-Azha 11 14-Nov-2011 22–23–24 Center of mass, angular momentum, moment of inertia, mechanics of many particles Midterm Solution 12 21-Nov-2011 25-26–27 Many particle systems. Application of moment of inertia, torque, angular momentum to many particle systems Assignment 7 Solution 13 28-Nov-2011 28–29–  30(a,b) Newton’s Law of Gravitation, Kepler’s Law of planetary motion, motion of center of mass 14 5-Dec-2011 31-32-33 Fictitious forces, periodic motion (oscillations), spring-mass system, rotation of a disk, simple pendulum Assignment 8 Solution 15 12-Dec-2011 34-35–36 Equilibrium and its types (stable, unstable, neutral), simple harmonic motion, damped simple harmonic oscillator Assignment 9 Solution 16 19-Dec-2011 Quiz 2 Solution 17 26-Dec-2011 37–38 Gravity, gravitational potential energy, consequences of inverse square law Final Exam Solution