Learn dynamics: kinematics, kinetics, energy and momentum
157
Sub Topics
261
MCQs
122
MCOs
194
True/False
115
Fill Blanks
35
Rearrange
105
Matching
60
Comprehensions
100
Flashcard Decks
Curriculum
What You'll Learn
01 Introduction to Dynamics 4 topics
1 Fundamentals of Dynamics
- Definitions and Terminology
- Historical Development of Dynamics
- Relationship to Other Engineering Fields
2 Kinematics vs. Kinetics
- Distinguishing Features
- Applications in Engineering
3 Frames of Reference
- Inertial Frames
- Non-inertial Frames
- Transformation Between Frames
4 Vector Analysis in Dynamics
- Vector Operations
- Coordinate Systems
- Vector Derivatives
02 Kinematics of Particles 4 topics
1 Rectilinear Motion
- Position, Velocity, and Acceleration
- Uniform and Non-uniform Motion
- Graphical Representations
2 Curvilinear Motion
- Rectangular Coordinates
- Normal and Tangential Coordinates
- Polar Coordinates
- Cylindrical Coordinates
- Spherical Coordinates
3 Relative Motion
- Relative Position and Displacement
- Relative Velocity
- Relative Acceleration
4 Constrained Motion of Particles
- Motion Along a Specified Path
- Motion Under Geometric Constraints
03 Kinetics of Particles 4 topics
1 Newton's Laws of Motion
- First Law: Inertia
- Second Law: F = ma
- Third Law: Action-Reaction
- Law of Gravitation
2 Equations of Motion
- Rectangular Coordinates
- Normal and Tangential Coordinates
- Polar Coordinates
3 Work and Energy
- Work of a Force
- Kinetic Energy
- Potential Energy
- Conservation of Energy
- Power and Efficiency
4 Impulse and Momentum
- Linear Impulse
- Linear Momentum
- Conservation of Linear Momentum
- Impact and Collisions
- Coefficient of Restitution
04 Systems of Particles 4 topics
1 Center of Mass
- Definition and Properties
- Calculation for Systems of Particles
- Motion of the Center of Mass
2 Angular Momentum of a System
- Definition and Calculation
- Conservation of Angular Momentum
3 Kinetic Energy of a System
- Translational Energy
- Rotational Energy
4 Variable Mass Systems
- Rocket Propulsion
- Conveyor Systems
- General Variable Mass Problems
05 Kinematics of Rigid Bodies 4 topics
1 Rigid Body Motion
- Translation
- Rotation About a Fixed Axis
- General Plane Motion
2 Relative Velocity in Rigid Body Motion
- Instantaneous Center of Zero Velocity
- Relative Velocity Method
3 Relative Acceleration in Rigid Body Motion
- Instantaneous Center of Zero Acceleration
- Relative Acceleration Method
4 Three-Dimensional Motion of Rigid Bodies
- General Motion
- Euler Angles
- Angular Velocity and Acceleration Vectors
06 Kinetics of Rigid Bodies in Plane Motion 4 topics
1 Moments of Inertia
- Definition and Calculation
- Parallel Axis Theorem
- Composite Bodies
- Products of Inertia
2 Equations of Motion for Rigid Bodies
- Translation
- Rotation About a Fixed Axis
- General Plane Motion
3 Work and Energy for Rigid Bodies
- Kinetic Energy in Plane Motion
- Work of Forces and Couples
- Conservation of Energy
4 Impulse and Momentum for Rigid Bodies
- Linear and Angular Momentum
- Principle of Impulse and Momentum
- Conservation of Momentum
- Eccentric Impact
07 Kinetics of Rigid Bodies in Three Dimensions 4 topics
1 Moments and Products of Inertia
- Inertia Tensor
- Principal Moments of Inertia
- Principal Axes
2 Angular Momentum and Kinetic Energy
- Angular Momentum of a Rigid Body
- Kinetic Energy of a Rigid Body
3 Equations of Motion
- Motion of a Gyroscope
- Motion of a Top
4 Motion of a Rigid Body in Space
- Euler Angles and Parameters
- Poinsot's Construction
- Free and Forced Motion
08 Vibrations 4 topics
1 Free Vibration of Particles
- Undamped Free Vibration
- Damped Free Vibration
- Critical Damping
2 Forced Vibration of Particles
- Harmonic Excitation
- Resonance
- Base Excitation
- Vibration Isolation
3 Systems with Multiple Degrees of Freedom
- Natural Frequencies and Mode Shapes
- Modal Analysis
- Coupled Systems
4 Vibration of Continuous Systems
- Strings and Cables
- Rods and Beams
- Membranes and Plates
09 Analytical Dynamics 6 topics
1 Generalized Coordinates
- Degrees of Freedom
- Constraint Equations
- Virtual Displacements
2 Principle of Virtual Work
- Virtual Work for Particles
- Virtual Work for Rigid Bodies
- Applications to Equilibrium
3 D'Alembert's Principle
- Inertial Forces
- Applications to Motion
4 Lagrange's Equations
- Derivation from D'Alembert's Principle
- Lagrangian Function
- Generalized Forces
- Conservative Systems
5 Hamilton's Principle
- Principle of Least Action
- Hamilton's Equations
- Canonical Transformations
6 Hamilton-Jacobi Theory
- Hamilton-Jacobi Equation
- Action-Angle Variables
- Applications to Periodic Motion
10 Computational Dynamics 4 topics
1 Numerical Integration Methods
- Euler Method
- Runge-Kutta Methods
- Multi-step Methods
- Stability and Accuracy
2 Finite Element Method in Dynamics
- Mass and Stiffness Matrices
- Eigenvalue Problems
- Time Integration Schemes
3 Computer Simulation of Dynamic Systems
- Modeling Techniques
- Software Packages
- Validation and Verification
4 Multibody Dynamics
- Formulation of Equations of Motion
- Constraint Stabilization
- Applications to Mechanical Systems
11 Special Topics in Dynamics 4 topics
1 Nonlinear Dynamics
- Phase Space Analysis
- Stability of Motion
- Bifurcations
- Chaos Theory
2 Impact Dynamics
- Wave Propagation in Solids
- High-Speed Impact
- Crash Mechanics
3 Fluid-Structure Interaction
- Added Mass Effects
- Hydroelasticity
- Aeroelasticity
4 Robotic Dynamics
- Forward and Inverse Dynamics
- Trajectory Planning
- Control of Dynamic Systems
12 Applications of Dynamics in Engineering 5 topics
1 Automotive Engineering
- Vehicle Dynamics
- Suspension Systems
- Crash Safety
2 Aerospace Engineering
- Aircraft Dynamics
- Spacecraft Dynamics
- Orbital Mechanics
3 Mechanical Systems
- Rotating Machinery
- Reciprocating Engines
- Power Transmission Systems
4 Civil Engineering
- Structural Dynamics
- Earthquake Engineering
- Wind Effects on Structures
5 Biomechanics
- Human Body Dynamics
- Sports Mechanics
- Prosthetics and Orthotics
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