Hanging Chain Problem | Geodesic of Hanging Cable |Calculus of Variations |18mat31|Dr Prashant Patil

In this video, The hanging chain (Cable) problem is solved on a geodesic of calculus of variations and it is shown that the nature of the curve is catonary. #DrPrashantPatil#Geodesic#CalculusofVariations#18MAT31_Module05#Lecture14 For more videos and playlist of Engineering Mathematics go through the playlists 1)18MAT31- TRANSFORM CALCULUS, FOURIER SERIES AND NUMERICAL TECHNIQUES: 1) Laplace Transforms [18MAT31-Module 01]:    • Laplace Transforms   2) Inverse Laplace Transform [18MAT31-Module 01]:    • Inverse Laplace Transform || Dr Prashant P...   3) Fourier Series | 18mat31 | Module 02 | Dr Prashant Patil    • Fourier Series | 18mat31 | Module 02 | Dr ...   4) Numerical Methods for ODE | 18mat31 | Module 04 & 05 | Dr Prashant Patil    • Numerical Methods for ODE | Module 04 & 05...   5) Calculus of Variations | 18mat31 | Module 05 | Dr Prashant Patil    • Calculus of Variations | 18mat31 | Module ...   2)18MAT21- Advanced Calculus and Numerical Techniques: 1) Vector Calculus [18MAT21-Module 01]:    • Vector Calculus || BMATE201   2) Ordinary Differential Equation of Higher order[18MAT21-Module 02]:    • Ordinary Differential Equation of Higher o...   3) Partial Differential Equations [18MAT21-Module 03]:    • Partial Differential Equations | 18matdip4...   4) Infinite Series [18MAT21-Module 04]:    • Infinite Series [18MAT21-Module 04]   3) 18MAT41- Complex Analysis, Probability and Statistical Methods: 1) Conformal Transformations[18MAT41-Module 02]    • Conformal Transformations || 18MAT41 || Dr...   2) Complex Integration[18MAT41-Module 02]    • Complex Integration || 18MAT41 ||  Dr Pras...   3) Probability Distributions[18MAT41-Module 03]    • Probability Distributions[18MAT41-Module 03]   4) Joint Probability Distribution and Sampling [18MAT41-Module 05]    • Joint Probability Distribution and Samplin...   4)18MATDIP41- Additional Mathematics II: 1) Probability[18MATDIP41-Module05]    • 18MATDIP41 | Additional Mathematics II | P...  

Geodesic of the arc length || on surface 𝒔=∫√(𝒙(𝒂+(𝒚′ )^𝟐 ) ) 𝒅𝒙 || 18mat31 || Dr Prashant Patil
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Geodesic of the arc length || on surface 𝒔=∫√(𝒙(𝒂+(𝒚′ )^𝟐 ) ) 𝒅𝒙 || 18mat31 || Dr Prashant Patil

Geodesic on a plane is St. line || Calculus of Variations || 18mat31 || Dr Prashant Patil
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Geodesic on a plane is St. line || Calculus of Variations || 18mat31 || Dr Prashant Patil

Why Aliens Would NEVER Invade Africa
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Why Aliens Would NEVER Invade Africa

𝑻𝒉𝒆 𝑩𝒓𝒂𝒄𝒉𝒊𝒔𝒕𝒐𝒄𝒉𝒓𝒐𝒏𝒆 𝑷𝒓𝒐𝒃𝒍𝒆𝒎 || Shortest  time Problem || 18mat31 || Dr Prashant Patil
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𝑻𝒉𝒆 𝑩𝒓𝒂𝒄𝒉𝒊𝒔𝒕𝒐𝒄𝒉𝒓𝒐𝒏𝒆 𝑷𝒓𝒐𝒃𝒍𝒆𝒎 || Shortest time Problem || 18mat31 || Dr Prashant Patil

Shakira, Burna Boy - Dai Dai (Official Video)
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Shakira, Burna Boy - Dai Dai (Official Video)

Türkei – USA Highlights | Gruppe D, FIFA WM 2026 | sportstudio
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Türkei – USA Highlights | Gruppe D, FIFA WM 2026 | sportstudio

Derivation of Euler's Equation || Calculus of Variations || 18mat31 || Dr Prashant Patil
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Derivation of Euler's Equation || Calculus of Variations || 18mat31 || Dr Prashant Patil

The Infinite Pattern That Never Repeats
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The Infinite Pattern That Never Repeats

You're doing push-ups wrong... this is why you're not getting stronger
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You're doing push-ups wrong... this is why you're not getting stronger

Iranian Jazz • Our Ceilings Fell Apart | 1 Hour Instrumental Jazz Melodies
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Iranian Jazz • Our Ceilings Fell Apart | 1 Hour Instrumental Jazz Melodies

My DIY Solar Generator Is WAY More Powerful Than I Thought..
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My DIY Solar Generator Is WAY More Powerful Than I Thought..

Trumps Pool-Fiasko | Peinliche Videos von Politikern zur WM | extra 3 vom 25.06.2026 · Teil 2/2
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Trumps Pool-Fiasko | Peinliche Videos von Politikern zur WM | extra 3 vom 25.06.2026 · Teil 2/2

Fourier Sine & Cosine Transform || 18mat31 || Dr Prashant Patil
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Fourier Sine & Cosine Transform || 18mat31 || Dr Prashant Patil

NERVOUS 12-Year-Old Who Can Sing Without Opening Her Mouth Earns Mel B's GOLDEN BUZZER!
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NERVOUS 12-Year-Old Who Can Sing Without Opening Her Mouth Earns Mel B's GOLDEN BUZZER!

How Do You Find The Shape of  Hanging Rope? Classic Physics Problem
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How Do You Find The Shape of Hanging Rope? Classic Physics Problem

Practical Harmonic Analysis upto first harmonic || Fourier Series || 18mat31 || Dr Prashant Patil
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Practical Harmonic Analysis upto first harmonic || Fourier Series || 18mat31 || Dr Prashant Patil

Japan – Schweden Highlights | Gruppe F, FIFA WM 2026 | sportstudio
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Japan – Schweden Highlights | Gruppe F, FIFA WM 2026 | sportstudio

China's J-10 defeats Eurofighter 9 to 0!
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China's J-10 defeats Eurofighter 9 to 0!