Mechanics for Engineers

Course Code (Credit):

CUTM1006(2-1-0)

Course Objectives:

To provide the students with a clear and thorough understanding on fundamentals of mechanics as applied to solve real-world problems

Learning Outcomes:

Upon successful completion of this course student should be able to:

Use scalar and vector analytical techniques for analyzing forces in statically determinate structures.
Analyze the frictional forces involved in planes, ladder friction and belt friction.
Determine the centroid and moment of inertia of composite shapes.
Apply fundamental concepts of kinematics and kinetics of particles to the analysis of simple, practical problems.
Apply basic knowledge of mathematics and physics to solve real-world problems

Course Syllabus:

Module I: Force and Moment:

Law of Transmissibility of a Force, Composition and Resolution of Forces, Resultant and Equilibrant, Resultant of Two and Several Forces, Moment of a Force and a Couple, Varignon’s Principle of Moment

Practice

1. Verification of laws of parallelogram law of forces

Module II: Equilibrium:

System Isolation and Free Body Diagram, Particle Equilibrium, Lami’s theorem, General Conditions of Equilibrium, Types of Supports and Support Reactions, Rigid Body Equilibrium.

Practice

2. To verify the condition of equilibrium by finding reactions at the support of a beam

Module III: Friction:

Basic Terms used in Dry Friction, Laws of Coulomb Friction, Equilibrium of Bodies on a Inclined Plane, Ladder Friction, Belt Friction

Practice

3. Determination of Angle of Repose

Module IV: Centroid:

Axis of Symmetry, Centroid of Lines, Areas and Volumes, Centroid of Composite Section.

Module V: Moment of Inertia:

Rectangular and Polar Moment of Inertia, Radius of Gyration, Parallel Axis Theorem and Perpendicular Axis Theorem, Moment of Inertia of Composite Section.

Practice

4. Determination of Moment of Inertia of a fly wheel.

Module VI: Kinematics of Linear Motion:

Kinematics of a Particle, Uniform and Variable Acceleration, Motion under Gravity.

Module VII: Kinetics of Linear Motion:

Principles of Dynamics such as Newton’s Second Law, Work-Energy Principle, Impulse-Momentum Principle, Law of Conservation Law of Momentum and Energy

Practice

5. Verification of Newton’s second law of motion

6. Verification of conservation of momentum in collision

Text Books:

Engineering Mechanics; Statics and Dynamics by A. K. Tayal, Umesh Publications

Reference Books:

Engineering Mechanics by S. Timoshenko, D.H. Young and J.V. Rao, Tata McGraw Hill
Engineering Mechanics by D.S. Kumar, S.K. Kataria and Sons

Session Plan:

Session	Topic	Reference Link (if any)
1	Introduction, Law of Transmissibility of a Force	YouTube Study Material: MFE-1 PPT: Mechanics for Engineers-1
2	Composition and Resolution of Forces, Resultant and Equilibrant	YouTube Study Material: MFE-2 PPT: Mechanics for Engineers-2
3	Resultant of Two and Several Forces	YouTube Study Material: MFE-3
4	Moment of a Force and a Couple, Varignon’s Principle of Moment	YouTube Study Material: MFE-4
5	Practice-1: Verification of laws of parallelogram law of forces	YouTube Vlab
6	System Isolation and Free Body Diagram	YouTube Study Material: MFE-6
7	Particle Equilibrium, General Conditions of Equilibrium	YouTube Study Material: MFE-7
8	Types of Supports and Support Reactions, Rigid Body Equilibrium	YouTube 1 YouTube 2 Study Material: MFE-8
9	Practice-2: Reactions at the support of a beam	YouTube Vlab
10	Dry Friction, Laws of Coulomb Friction	YouTube Study Material: MFE-10
11	Ladder Friction, Belt Friction	YouTube Study Material: MFE-11
12	Practice-3: Determination of Angle of Repose	YouTube 1 YouTube 2 Virtual Lab
13	Axis of Symmetry, Centroid of Lines, Areas and Volumes	YouTube Study Material: MFE-13
14	Centroid of Composite Sections	YouTube Study Material: MFE-14
15	Moment of Inertia, Radius of Gyration	YouTube Study Material: MFE-15
16	Parallel and Perpendicular Axis Theorems	YouTube Study Material: MFE-16
17	Moment of Inertia of Composite Sections	YouTube Study Material: MFE-17
18	Practice-4: Moment of Inertia of a flywheel	Vlab
19	Kinematics of a Particle, Uniform acceleration	YouTube Study Material: MFE-19
20	Variable Acceleration, Motion under Gravity	PhysClip Study Material: MFE-20
21	Projectile Motion	YouTube
22	Newton’s Second Law	YouTube Study Material: MFE-22
23	Work-Energy and Impulse-Momentum Principles	YouTube: Work-Energy YouTube: Impulse-Momentum Study Material: MFE-23
24	Conservation of Momentum and Energy	YouTube Slideshare
25	Practice-5: Newton’s second law	Vlab
26	Practice-6: Conservation of momentum in collision	Vlab