Equations of Motion Courses and Certifications

Gautam Varde

Velocity and Acceleration Equations in Simple Harmonic Motion

Master the derivation of velocity and acceleration equations for particles in Simple Harmonic Motion through clear mathematical explanations and step-by-step problem-solving approaches.

• YouTube
• 19 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Reynold's Stress: Governing Equations for Fluctuating Fluid Motion - Part I

Explore the governing equations for fluctuating fluid motion, focusing on Reynolds stress equations in fluid dynamics.

• YouTube
• 25 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Reynold's Stress: Governing Equations for Fluctuating Fluid Motion - Part II

Delve into the governing equations for fluctuating fluid motion, focusing on Reynolds stress and its mathematical formulation.

• YouTube
• 21 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

RANS Equations II - Governing Equations for Fluctuating Fluid Motion

Delve into the governing equations for fluctuating fluid motion through Reynolds-Averaged Navier-Stokes (RANS) equations.

• YouTube
• 19 minutes
• On-Demand
• Free Video

MonashPhysicsAndAstronomy

Self-Consistent Spin, Tidal, and Dynamical Equations of Motion in REBOUND Framework

Explore the integration of equilibrium tide theory into REBOUND N-body simulator, covering tidal interactions, rotational deformation, and planetary spin dynamics in astrophysical simulations.

• YouTube
• 52 minutes
• On-Demand
• Free Video

IISc Bangalore;  NPTEL

Robotics: Basics and Selected Advanced Concepts

Comprehensive robotics course covering basics to advanced concepts, including kinematics, dynamics, control, and specialized robot types. Combines theory with simulations and experiments for practical understanding.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

IIT Guwahati;  NPTEL

Nonlinear Vibration

Explore nonlinear vibration analysis through simulations, covering equation development, solution methods, and practical applications in mechanical systems for enhanced understanding and real-world relevance.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

NPTEL;  IIT Madras

Gas Dynamics

This course discusses topics in gas dynamics. Review of fundamentals: concepts from fluid mechanics, basic thermodynamic relations. Compressible flow: the concept of waves in a fluid, mach waves, compression waves, expansion waves.

• YouTube
• 1 day 23 hours
• On-Demand
• Free Video

NPTEL;  IIT Madras

Special Topics in Classical Mechanics

Comprehensive exploration of advanced classical mechanics topics, including equations of motion, oscillations, relativity, electrodynamics, and chaotic systems.

• YouTube
• 1 day 16 hours
• On-Demand
• Free Video

NPTEL;  IIT Madras

Special - Select Topics in Classical Mechanics

Explore advanced topics in classical mechanics, from equations of motion to chaotic systems. Gain deep insights into oscillators, relativity, fluid dynamics, and electrodynamics.

• YouTube
• 1 day 16 hours
• On-Demand
• Free Video

NPTEL;  IIT Madras

Fundamentals of Gas Dynamics

2 reviews

The course introduces compressible flow and its constitutive equations. The physical concepts behind isentropic flows, area-Mach number relation etc will be discussed with practical problems in mind.

• YouTube
• 1 day 2 hours
• On-Demand
• Free Video

NPTEL;  IIT Madras

Dynamics of Ocean Structures

2 reviews

Explore the principles and behavior of ocean structures, including motion equations, design considerations, and environmental impacts. Gain insights into marine engineering and offshore technology.

• YouTube
• 1 day 10 hours
• On-Demand
• Free Video

Ross Dynamics Lab

Hamiltonian Systems Introduction - Why Study Them?

Explore Hamiltonian systems and their advantages in mechanics. Learn about generalized momentum, canonical equations, and the transformation from Lagrangian to Hamiltonian formalism.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Kane's Method, Kane's Equations, Avoiding Lagrange Multipliers - Quasivelocities & Dynamic Equations

Introduces Kane's method for efficient modeling of constrained systems using quasivelocities, avoiding Lagrange multipliers. Covers theoretical foundations and practical examples like vehicle stability and semi-truck dynamics.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Lagrange’s Equations with Conservative and Non-Conservative Forces - Phase Space Introduction

Explore Lagrange's equations for conservative and non-conservative forces, rigid body systems, and phase space analysis. Learn to solve and classify motions using advanced analytical dynamics techniques.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video