MTE 201 • Tüm Sınavlar • Engineering Mechanics

Introduction and Fundamental Concepts

Units of Measurement and Numerical Calculations

Vector Operations, Vector Addition of Forces

Resultant Force Example-1

Vector Components Example

Resultant Force Example-2

Addition of Coplanar Forces

Resultant of Coplanar Forces Example-1

Cartesian Vectors

Cartesian Vectors Example-1

Cartesian Vectors Example-2

Cartesian Vectors Example-3

Position Vectors, Unit Vector and Force Vector Along A Line

Position Vector Example-1

Force Vector Example-1

Position Vector Example-2

Position Vector Example-3

Dot (Scalar) Product of Vectors

Dot Product Example-1

Dot Product Example-2

Dot Product Example-3

Chapter Review

Equilibrium, How to Draw a Free Body Diagram (FBD)

Coplanar Force Systems (Equilibrium in 2D)

Coplanar Force Systems Example-1

Coplanar Force Systems Example-2

Three Dimensional Force Systems (Equilibrium in 3D)

Three Dimensional Force Systems Example-1

Three Dimensional Force Systems Example-2

Chapter Review

What is Moment?

Moment of a Force: Scalar Formulation

Moment of a Force: Vector Formulation

Moment of a Force Example-1

Moment of a Force Example-2

Moment of Force Components: Varignon's Theorem

Moment of Force Components Example

Moment of a Force About an Axis

Moment About an Axis Example

Moment of a Couple

Moment of a Couple Example-1

Moment of a Couple Example-2

Simplification of a Force and Couple System

Reduction to a Given Point Example

Further Simplifications of a Force and Couple System

Reduction to a Single Force Example

Reduction of a Parallel Force System Example

Reduction of a Simple Distributed Loading

Distributed Loading Example

Chapter Review

Equilibrium in Two Dimensions

Free Body Diagram Example-1

Free Body Diagram Example-2

Equations of Equilibrium in 2-D

Equilibrium in 2-D Example-1

Equilibrium in 2-D Example-2

Equilibrium in 2-D Example-3

Equilibrium in 2-D Example-4

Two and Three Force Members

Equilibrium in Three Dimensions

Free Body Diagram in 3-D Example

Equations of Equilibrium in 3-D

Equilibrium in 3-D Example

Constraints and Statical Determinacy

Chapter Review

Vectors (Resultant and Components Along Given Axes)

Vectors (3D Vectors and Direction Cosines)

Equilibrium in of a Particle

Equilibrium of a Particle in 2D

Equilibrium of a Rigid Body in 2D

Moment of a Couple in 3D

Moment of a Force About an Axis

Equilibrium of a Rigid Body in 3D

Simple Trusses, Method of Joints

Method of Joints Example-1

Method of Joints Example-2

Zero Force Members (ZFMs)

Zero Force Members Example

Method of Joints Example-3

Method of Sections

Method of Sections Example-1

Method of Sections Example-2

Space Trusses

Space Trusses Example

Frames and Machines

Frames and Machines Example-1

Frames and Machines Example-2

Frames and Machines Example-3

Chapter Review

Internal Loadings in Structural Members

Internal Loadings at a Point Example-1

Internal Loadings at a Point Example-2

Shear and Moments Equations and Diagrams: Method of Sections

Diagrams with Method of Sections Example-1

Diagrams with Method of Sections Example-2

Relations Between Internal Loads: Graphical Approach

Diagrams with Graphical Approach Example-1

Diagrams with Graphical Approach Example-2

Cables with Concentrated Loads

Cables with Concentrated Loads Example

Cables with Distributed Loads

Cables with Distributed Loads Example

Cables with Their Own Weight

Chapter Review

Characteristics of Dry Friction

Friction Example-1

Friction Example-2

Wedges

Wedges Example

Frictional Forces on Flat Belts

Friction Belts Example-1

Friction Belts Example-2

Chapter Review

Center of Gravity, Mass, Volume and Centroid of an Area

Centroid of an Area Under a Function Example-1

Centroid of an Area Under a Function Example-2

Centroid of a Curved Line

Centroid of a Composite Area

Centroid of a Composite Area Example

Centroid of a Composite Line Example

Centroid of a Composite Volume Example

Theorems of Pappus and Guldinus

Pappus and Guldinus Example

Chapter Review

Moment of Inertia Under a Function, Parallel Axis Theorem, Radius of Gyration

Moment of Inertia Under a Function Example

Moment of Inertia for Composite Areas

Moment of Inertia for Composite Area Example

Chapter Review

Vectors (Conceptual Question)

Equilibrium of Rigid Body in 2D

Equilibrium for Rigid Body in 3D

Equilibrium of Rigid Body in 3D

Force System Resultants

Force System Resultants

Equilibrium of Rigid Body in 3D

Equilibrium in 3D (Moment About an Axis)

Equilibrium in 3D (Moment About an Axis)

Structural Analysis: Trusses

Structural Analysis: Trusses

Structural Analysis: Trusses

Structural Analysis: Trusses

Structural Analysis: Trusses

Structural Analysis: Frames and Machines

Structural Analysis: Frames and Machines

Structural Analysis: Frames and Machines

Structural Analysis: Frames and Machines

Structural Analysis: Frames and Machines

Structural Analysis: Frames and Machines

Structural Analysis: Frames and Machines

Internal Forces

Internal Forces

Internal Forces: Shear Force and Moment Diagrams

Internal Forces: Shear Force and Moment Diagrams

Internal Forces: Shear Force and Moment Diagrams

Internal Forces: Shear Force and Bending Moment Diagrams

Internal Forces: Shear Force and Bending Moment Diagrams

Centroid

Centroid

Area Moment of Inertia

Area Moment of Inertia

Area Moment of Inertia

Area Moment of Inertia

Centroid and Moment of Inertia

Introduction and General Principles

Kinematics of Particles: Definitions

Rectilinear Motion

Exam Like Question - 1

Exam Like Question - 2

Exam Like Question - 3

Curvilinear Motion: Which Coord. System to Use?

Rectangular Coordinates for 3D Motion

Exam Like Question - 1

Exam Like Question - 2

Projectile Motion: A Special Case for x-y Coord. System

Exam Like Question - 1

Exam Like Question - 2

Normal and Tangential Coordinates

Exam Like Question - 1

Exam Like Question - 2

Exam Like Question - 3

Polar Coordinates

Exam Like Question - 1

Exam Like Question - 2

Now We Know Which Coord. System to Use!

Fall 2020 Quiz Question

Fall 2021 Midterm-1 Question

Fall 2019 Midterm-1 Question

Constrained Motion

Exam Like Question - 1

Exam Like Question - 2

Relative Motion (with Translating Axes)

Exam Like Question - 1

What is Kinetics?

Force and Acceleration in x-y, n-t and r-teta Coordinates

Exam Like Question - 1

Exam Like Question - 2

Exam Like Question - 3

Exam Like Question - 4

Exam Like Question - 5

Exam Like Question - 6

Exam Like Question - 7

Exam Like Question - 8

Exam Like Question - 9

Fall 2020 Midterm Question

Kinetics of Particles: Work and Energy

Power and Efficiency

Solution Procedure for Questions

Exam Like Question - 1

Exam Like Question - 2

Exam Like Question - 3

Exam Like Question - 4

Exam Like Question - 5

Exam Like Question - 6

Exam Like Question - 7

Linear Momentum and Linear Impulse

Angular Momentum and Angular Impulse

Impact

Solution Procedure for Impact Problems

Exam Like Question - 1

Exam Like Question - 2

Exam Like Question - 3

Exam Like Question - 4

Exam Like Question - 5

Fall 2019 and 2023 Midterm-1 Question

Fall 2020 Quiz Question

Fall 2021 Midterm-1 Question

Exam Like Question - 9

Exam Like Question - 10

Exam Like Question - 11

Exam Like Question - 12

Introduction to Rigid Bodies

Types of Motion and Pure Translation

Fixed Axis Rotation: Rigid Body Itself

Math Review: Cross Product of Two Vectors

Fixed Axis Rotation: Point on a Rigid Body

General Plane Motion, Relative Velocity (Vectorial Approach) for Velocity Analysis

ICZV (Instant. Center of Zero Velocity) (Scalar Approach) for Velocity Analysis

Acceleration Analysis

Rolling Without Slip

Relative Motion of Two Objects using Rotating Axes: Corriolis Effect

Relative Motion of Slot-Connected Bodies using Rotating Axes

Exam Like Question - 1

Exam Like Question - 2

Exam Like Question - 3

Exam Like Question - 4

Exam Like Question - 5

Exam Like Question - 6

Exam Like Question - 7

Exam Like Question - 8

Fall 2019 Midterm-1 Question

Fall 2019 Midterm-1 Question

Fall 2020 Midterm Question

Fall 2021 Midterm-1 Question

Exam Like Question - 13

Exam Like Question - 14

Exam Like Question - 15

Fall 2023 Midterm-1 Question

Fall 2023 Final Question

Plane Kinetics of Rigid Bodies: Force and Acceleration

Mass Moment of Inertia

Slide (Slip) or Tip? Which one first?

Exam Like Question - 1

Exam Like Question - 2

Exam Like Question - 3

Exam Like Question - 4

Exam Like Question - 5

Exam Like Question - 6

Exam Like Question - 7

Fall 2019 Midterm-2 Question

Exam Like Question - 9

Exam Like Question - 10

Exam Like Question - 11

Fall 2023 Midterm-2 Question

Fall 2020 Midterm and Fall 2023 Final Question

Exam Like Question: Kinetics of Particles Force and Accel.

Exam Like Question: Kinetics of Particles Force and Accel.

Exam Like Question: Kinematics of Particles Using n-t Coordinates

Exam Like Question: Kinetics of Particles Conservation of Energy

Exam Like Question: Kinetics of Particles Angular Momentum

Exam Like Question: Kinetics of Particles Linear Momentum and Impact

Constrained Motion

Projectile with n-t Coordinates

Exam Like Question: Kinematics of Rigid Bodies Fixed Axis Rotation

Exam Like Question: Kinematics of Rigid Bodies General Plane Motion

Exam Like Question: Kinematics of Rigid Bodies Fixed Axis Rotation

Exam Like Question: Kinetics of Rigid Bodies Force and Acceleration

Exam Like Question: Kinematics of Rigid Bodies General Plane Motion

Conservation of Energy for a Rigid Body

Exam Like Question - 1

Exam Like Question - 2

Exam Like Question - 3

Exam Like Question - 4

Exam Like Question - 5

Exam Like Question - 6

Exam Like Question - 7

Exam Like Question - 8

Exam Like Question - 9

Exam Like Question - 10

Linear and Angular Impulse and Momentum

Exam Like Question - 1

Exam Like Question - 2

Exam Like Question - 3

Exam Like Question - 4

Exam Like Question - 5

Exam Like Question - 6

Exam Like Question

Exam Like Question

Exam Like Question

Exam Like Question

Exam Like Question

Exam Like Question

Plane Kinematics of Rigid Bodies

Plane Kinematics of Rigid Bodies

Plane Kinetics of Rigid Bodies: Force and Acceleration

Plane Kinetics of Rigid Bodies: Work and Energy

Plane Kinetics of Rigid Bodies: Force and Acceleration

Plane Kinetics of Rigid Bodies: Impulse and Momentum