PH211 : Classical Mechanics І

Department

Physics

Academic Program

Bachelor in Physics

Type

Compulsory

Credits

04

Prerequisite

PH111

Overview

This course aims to introduce the student to classical mechanics by covering a range of topics, such as identifying the center of mass of a system of bodies, as well as deducing the principle of conservation of linear momentum and how to apply it to study the movement of a system of fixed-mass and variable-mass particles, studying the issue of collision, identifying types of collision, and the relationship between impulse and quantity Motion and rotational motion around a fixed axis of rotation and a moving axis of rotation and the conclusion of Newton's second law of rotational motion as well as the application of the principle of conservation of energy to the study of rotational motion and the definition of angular momentum and the study of the equilibrium of rigid bodies and the link between the concept of the center of mass and the center of gravity and simple harmonic motion and the system of mass and spring wire And the pendulums..

Intended learning outcomes

By studying the course the student will be able to:1- Determine the position of many particles along an axis or plane, and locate their center of mass.2- Determine the location of the center of mass of a symmetric extended body using symmetry.3- Newton's second law applies to a system of particles by relating the total force (the forces acting on the particles) to the acceleration of the center of mass of the system.4- Compare translational motion variables and rotational motion variables.5- Deduce the principle of conservation of angular momentum and the necessary condition for its application.6- Solve rotational kinematics problems, as well as problems involving a combination of rotational motion and translational motion.7- Deduce the laws of equilibrium of rigid bodies by linking the point of influence of the force on the rigid body and the type of movement produced.8- Calculate the simple harmonic motion variables for different systems such as the mass system, the spring wire, the simple pendulum, the compound pendulum, and the torsion pendulum.

Teaching and learning methods

1- Lectures.

2- Solve problems and discuss various exercises.

Methods of assessments

1- Written first midterm exam 25%

2- Written second midterm exam 25%

3- Written final exam 50%

4- A passing score of 50% or more

5- The total assessment of the course is 100%.

Course contents

Week Due

exercises

Lectures

contact hours

Topics List

2

4

6

10

Conservation of Linear Momentum: Centre of mass of two particles systems and many particles systems; Centre of mass of continuous bodies; Motion of the centre of mass; Linear momentum of system of particles; Conservation of linear momentum; Some applications of the momentum principle .

Systems of variable mass.

2

4

6

10

Collisions: Conservation of momentum during collisions; Collisions in one dimension; Collision in two and three dimensions; Elastic collision in one dimension; Elastic collision in two dimensions; Impulse and momentum.

2

4

6

10

Rotational Kinematics: Rotational motion; Rotational kinematics-the variables; Rotational with constant angular acceleration; Rotation quantity as vectors; Relation between linear and angular kinematics for a particle in circular motion-scalar form; Relation between linear and angular kinematics for a particle in circular motion-vector form.

3

6

9

15

Rotational Dynamics: Torque acting on a particle; Angular momentum of a particle; System of particles; Kinetic energy of rotation and rotational inertia; Rotation dynamics of rigid body;Combined translational and rotational motion of a rigid body.

1

2

3

5

Angular Momentum: Angular momentum and angular velocity; Conservation of angular momentum; The spinning top.

2

4

6

10

Equilibrium of Rigid Body: The equilibrium of rigid body; Centre of gravitation. Stable, unstable, and neutral equilibrium of rigid body in a gravitational field.

2

4

6

10

Oscillations: Oscillating; The simple harmonic oscillators; The simple harmonic motion; Energy considerations to simple harmonic motion;Applications of simple harmonic motion; Relation between simple harmonic motion and uniform circular motion.

Learning Resources

Text Book

References name

publisher

Release

Author

Fundamental of Physics

John Wiley & Sons, Inc..2011

9th Edition

R.Resnick&D.Halliday

Additional References

University Physics

John Wiley & Sons, Inc..,1995

Revised Edition

Harris Benson

Physics for Scientists and Engineers with Modern Physics

Thommson Learning Academic Resource Centre, 2008

7th

Edition

John W.Jewett, Jr& Raymond A. Serway

Physics for Scientists & Engineers

Prentice Hall, 2000

3th

Edition

Douglas C.Giancoli