MM206 : Static

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

03

Prerequisite

MM105MM114

Overview

This course introduces the student to the basic concepts of force, its torque around a pivot point, and the reduction of a group of forces that do not meet at a point to a force and coupling, and the Brama result. It also deals with the equilibrium of a group of forces that do not meet in triple space and in two dimensions, and reactions. This course also aims to develop the student's ability to determine friction, slip and overturning, and the moment of inertia, and to know the parallel and perpendicular axes and the moment of inertia of geometric bodies, the two main inertia and the two main levels

Intended learning outcomes

At End theCourse, the Student Should be able to

1 . Distinguishing vector algebra and drawing forces as vectors graphically

2. Learn about space forces (in three dimensions).

3. Explain the meaning of equilibrium.

4. Clarification of singles and doubles

5. Analyze and evaluate his knowledge of vector algebra

6. Compare forces in two dimensions and in three dimensions

7. Prove theories and laws related to equilibrium.

8. Infer and explain moments of inertia

9. Use the laws of vector algebra

10. Apply and use powers in three dimensions in issues with more than one idea

11. Apply theories and laws of equilibrium

12. Solve problems with multiple ideas on moments of inertia.

Teaching and learning methods

1. Practical and theoretical lectures

2. Discussion and dialogue

3. Brainstorm

4. Worksheet, case study

5. Presentations

6. Videos and e-learning

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

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

Methods of assessments

1. A written exam (essay + objective) = 25 marks, or its assessment is left to the course instructor

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

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

Course content

the week

Scientific subject

number of hours

a lecture

practicum

1-2

Vector algebra in statics: vector torque about a point - vector torque about an axis - the rest of the particles in the plane - the group of plane forces - the resultant forces - the forces that meet at a point

6

4

2

3-4

Parallel forces - particle equilibrium - application of equilibrium conditions.

6

4

2

5

First Midterm Exam (2 hours)

5-6

Space forces (in three dimensions): Define the force in the triple space with the information of the magnitude and two points on their line of action - the group of the receiving forces.

4

3

1

7

Dualities in space - resultant double moment - Farinon's theorem - force group reduction - chiral force

3

2

1

8

Rigid body equilibrium in plane and space: reactions - friction.

3

2

1

9-10

Center of masses: Determination of the center of masses by division - by integration - center of masses of areas, volumes and lengths - Papas rule

4

2

2

10

Second Midterm Exam (2 hours)

12-13

Moments of inertia: second moment of areas and volumes - finding moments by integration - polar moment of inertia

6

4

2

13-14

Parallel axes theorem - central moments - hypothetical work: power work - hypothetical work principle and its applications

6

4

2

15-16

Final Exam

Group

42

Reference

Reference Name

publisher

Version

Author

location

Mechanics part 1

Venus Publishing Corporation

Second

Dr. Ahmed Abdel-Motal

Department library

Mechanics part 1

Venus Publishing Corporation

FIRST

Dr. Ali Owen.

Department 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)