MM207 : Dynamics

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

Prerequisite

MM206 MM214

Overview

This course introduces the students to the basic concepts of particle kinematics, motion in a straight line, and motion in a plane with Cartesian, eigenvector, and polar coordinates. It also deals with the equilibrium of a set of non-concurrent forces in three-dimensional space and in two dimensions, and reactions. This course aims to develop the student's ability to determine the kinematics of a rigid body, the velocity of one point with respect to another, And a point wheel relative to another in rotation, rotation with transition, it also deals with particle kinematics, Newton's laws and applications in all types of motion, in addition to motion in a resistive medium, particles of variable mass, projectile motion, small oscillations, restricted motion, linear and rotational momentum and applications on collision and recoil coefficient Work, power, linear and rotational motion of particles and a rigid body.

Intended learning outcomes

By the end of the course, the students should be able to:

1. Recognize the particle's kinematics in terms of movement in a straight line, velocity, and acceleration in coordinate groups (Cartesian, polar, and normal).

2. Determine rotational motion, angular velocity, angular acceleration and simple rotational motion

3. The student should explain the dynamics of the particle (Newton's second law _ equation of motion _ solving the equation when giving special forms of force).

4. Distinguish the centripetal force and Kepler's laws of planetary motion and the interfacial equation

5. Explain body and particle kinematics

6. Show body dynamics

7. Give examples of motion in a straight line, velocity and acceleration in coordinate groups

8. Analyze the rotational motion of bodies and some of the relationships between distance, speed, and acceleration.

9. Discuss Newton's second law, the equation of motion, and solve the equation when special forms of force are given.

10. Deduce the centripetal force and Kepler's laws of planetary motion and an interfacial equation

11. Find out the kinematics of the rigid body and the group of particles

12. Analyze the concepts and laws of rigid body dynamics

13. Velocity and acceleration are used in Cartesian and polar coordinates.

14. Solve a number of exercises and problems about the rotational movement of bodies.

15. Apply Newton's laws in examples from nature

16. Give examples of centripetal force.

Teaching and learning methods

1- Practical and theoretical lectures .

2- Discussion and dialogue .

3- Brain storming .

4- Working papers, case study .

5- Presentations .

6- Videos and e-learning

7. Use of software and computer applications such as (MATLAB, Geogebra, Geometer)

8- Intensifying applications, solving problems, and linking ideas with reality and life situations.

Methods of assessments

1. A written exam (essay + topical ) = 25 marks, or its assessment of the course instructor.

2. Short tests (written or oral), demonstration tasks, applications, exercises, and presentation = 15 marks or the course instructor assessment.

3. Written final exam (essay + objective) = 60 marks

محتوى المقرر

Week	Scientific subject	Number of hours	Lecture	Practicum
1-2	Particle kinematics: motion in a straight line _ velocity and acceleration in coordinate sets (Cartesian, polar and normal).	6	4	2
3-4	Rotational motion _ Angular velocity _ Angular acceleration _ Simple rotational motion.	6	4	2
5	First Midterm Exam (2 hours)
5-6-7	Particle dynamics: Newton's second law - equation of motion - solving the equation when giving special forms of force	7	5	2
8-9	Centripetal force _ Kepler's laws of planetary motion _ Interphase equation _ Momentum Work Kinetic energy _ Conservative forces and potential energy _ Motive and collision forces _ Bound motion.	6	4	2
10	Second Midterm Exam (2 hours)
10-11-12	Solid body kinematics and particle group: Parallel plane motion - general motion of the body - motion around a fixed axis - Euler angles and motion around a fixed point.	7	5	2
13-14	Solid body dynamics: the general laws of the body and the group of particles to conserve the quantity of motion and the quantity of energy.	6	4	2
15-16	Final Exam

Reference

Reference Name

publisher

Version

Author

location

Mechanics part 2

Dar Jamahia

Musrata

First

Dr. Ali

Aween

Library

Arabic language 1 (AR103)
Linear Algebra 1 (MM105)
Planar and Analytical Geometry (MM103)
Quranic Studies 1 (AR101)
computer 1 (CS100)
General Mathematics 1 (MM101)
General English1 (EN100)
Fundamentals of Education (EPSY101)
General Psychology (EPSY 100)
Introduction to Statistics (ST101)
Quranic studies2 (AR102)
Aerospace Engineering (MM114)
General Mathematics 2 (MM102)
Linear Algebra (2) (MM215)
Developmental Psychology (EPSY 203)
General Teaching Methods (EPSY 201)
General English2 (EN101)
Computer 2 (CS101)
Introduction to the science of Probabilities (ST102)
Arabic language 2 (AR104)
Basics Of Curriculums (EPSY 202)
Mathematical Logic (MM317)
Educational Psychology (EPSY 200)
Arabic language 3 (AR105)
Ordinary Differential Equations 1 (MM202)
Static (MM206)
General Mathematics3 (MM211)
Ordinary Differential Equations 2 (MM311)
Vector analysis (MM214)
Mathematical statistics (ST202)
Set Theory (MM213)
Arabic language 4 (AR106)
Research Methods (EPSY301)
Measurements and Evaluation (EPSY 302)
Methods of teaching mathematics (MM208)
Teaching learning Aids (EPSY 303)
Word processing (CS 202)
Psychological Health (EPSY 401)
School mathematics 1 (MM309)
Complex Analysis 1 (MM305)
Real Analysis 1 (MM303)
Dynamics (MM207)
Abstract Algebra 1 (MM302)
Complex Analysis 2 (MM306)
School mathematics2 (MM310)
Real Analysis 2 (MM304)
Abstract Algebra 2 (MM403)
Numerical Analysis (MM308)
measurement theory (MM410E)
Integral equations (MM409E)
Operations Research (MM408E)
History of Mathematics (MM407E)
Functional Analysis (MM406E)
linear programming (MM405E)
Partial Differential Equations (MM401)
Teaching applications (MM400)
Graduation project (MM404)
Teaching Practice (EPSY 402)