General Mechanics 3

General Data
Academic program	ECAM ENGINEERING PROGRAM			:
Type d'EC	Classes
Lectures : 12h00 Tutorials : 12h00 Total duration : 72h00	Status :	Period : Semester 3	Education language : English

Learning Outcomes
Upon completion of this course, the students are expected to: 1. Differentiate between linear and angular momentum. 2. Calculate the impulse due to forces acting on a particle. 3. Analyze collision phenomenon. 4. Use Newton's laws of motion both with linear and angular motion 5. Differentiate between sliding and rolling motions. 6. Deal with a system of particles.

Content
1. Linear Momentum and Center of Mass • Linear Momentum • Newton's Second Law • System of Particles • Center of Mass 2. Impulse, Reduced Mass, Kinetic Energy of a System • Impulse of a Particle and a System • Impulse due to a Constant Force • Reduced Mass of a System • Kinetic Energy of a System 3. Elastic and Inelastic Collisions • Types of Collision • Coefficient of Restitution 4. Momentum • Linear and Angular Momentum • Moment due to Resultant Forces • Rigid Body • Linear and Angular Momentum of a Rigid Body 5. Impulse and Variable Mass System • Linear and Angular Impulse • Variable Mass Systems 6. Rolling, Rigid Body, and Pendulum • Rolling Motion • Sliding and Rolling • Kinetic Energy and Work of a Rigid Body • Physical Pendulum

Content

1. Linear Momentum and Center of Mass
• Linear Momentum
• Newton's Second Law
• System of Particles
• Center of Mass
2. Impulse, Reduced Mass, Kinetic Energy of a System
• Impulse of a Particle and a System
• Impulse due to a Constant Force
• Reduced Mass of a System
• Kinetic Energy of a System
3. Elastic and Inelastic Collisions
• Types of Collision
• Coefficient of Restitution
4. Momentum
• Linear and Angular Momentum
• Moment due to Resultant Forces
• Rigid Body
• Linear and Angular Momentum of a Rigid Body
5. Impulse and Variable Mass System
• Linear and Angular Impulse
• Variable Mass Systems
6. Rolling, Rigid Body, and Pendulum
• Rolling Motion
• Sliding and Rolling
• Kinetic Energy and Work of a Rigid Body
• Physical Pendulum

Pre-requisites / co-requisites
General Mechanics 2

Bibliography
Essential resources: Not required Recommended resources: David Halliday, Robert Resnick and Jearl Walker Fundamentals of Physics. Robert Resnick, David Halliday, Kenneth S. Krane. Physics. Feynman, Leighton and Sands. The Feynman Lectures on Physics: http://www.feynmanlectures.info/ H.C. Corben. P. Stehle. Classical Mechanics.

Assessment(s)
N°	Nature	Coefficient	Observable objectives
1	Students will have a mid-term at the mid-course about the topics covered in the first half of the course.	0,35	In this midterm, the students will be evaluated in the following topics: - Linear momentum and center of mass - Impulse, Reduced Mass, Kinetic Energy of a System - Elastic and Inelastic Collisions
2	At the end of the course, there will be a final exam about all the concepts covered in the course. The exam consists of short questions as well as thorough analysis problems.	0,55	The final exam tests the students’ understanding of the entire course, which includes: - Linear momentum and center of mass - Impulse, Reduced Mass, Kinetic Energy of a System - Elastic and Inelastic Collisions - Angular momentum and moment due to forces of a rigid body - Impulse and Variable Mass System - Rolling, Rigid Body, and Pendulum - Work and energy of a rigid body
3	The students should expect a drop quiz in each session about the previous lesson. The students will be also evaluated on their behavior in class.	0,10	Continuous Assessment