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generalized
August 24, 2023
by rsroybaruah ADV-MATHEMATICS

Generalized Displacement, Generalized Velocity, Generalized Acceleration

The minimum number of independent coordinates or variables which is required to describe the motion of a dynamical system is known as generalized coordinates. For a system of N particles and for k constraints and d dimension, the number of independent co ...

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degree of freedom
August 24, 2023
by rsroybaruah ADV-MATHEMATICS

Degree of Freedom and Generalized Coordinates in Classical Mechanics

The concept of degrees of freedom is crucial in describing and analyzing the behavior of physical systems. It's used to determine the minimum number of coordinates needed to specify the complete state of a system. Degree of Freedom The degree of fr ...

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3
postulates
August 18, 2023
by rsroybaruah ADV-MATHEMATICS

Postulates of Special Theory of Relativity and Galilean Transformation

In 1905, famous scientist Albert Einstein introduced the special theory of relativity. This special relativity is based on the following two fundamental postulates. These two postulates are called fundamental postulates of the special theory of relativit ...

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1
frame of reference
August 18, 2023
by rsroybaruah ADV-MATHEMATICS

Frame of Reference: Inertial and Non-inertial Frames of References

No motion is detectable without reference to a second body reflects the fundamental nature of motion in our universe. It underscores the need for a frame of reference to describe and measure motion accurately, highlighting the interconnectedness of objec ...

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1
motion
August 15, 2023
by rsroybaruah ADV-MATHEMATICS

Motion and Relative Motion: No Motion is Detectable Without Reference to a Second Body

Motion refers to an object's change in position over time, relative motion emphasizes the importance of considering the motion of one object with respect to another object or observer. Motion Motion refers to the change in the position of an object ...

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1
special relativity
August 8, 2023
by rsroybaruah ADV-MATHEMATICS

Einstein’s Vision: The Imperative Importance of the Special Theory of Relativity

In the vast expanse of the cosmos, where time and space intertwine in ways beyond imagination, Albert Einstein's Special Theory of Relativity stands as a monumental pillar of modern physics. With its groundbreaking insights and mind-bending implications, ...

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Newtonian mechanics
July 29, 2023
by rsroybaruah ADV-MATHEMATICS

Exploring the Fundamentals of Newtonian Mechanics: Concepts and Applications

Welcome to the exciting world of Newtonian Mechanics, inquisitive minds! We'll go on a journey to understand the fundamental principles of this branch of classical physics in this blog post. Newtonian Mechanics, developed in the 17th century by Sir Isaac ...

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constraints
July 28, 2023
by rsroybaruah ADV-MATHEMATICS

Constraints and their Classifications: Classical Mechanics

Constraints The limitations on the motion of a system are called constraints or the conditions imposed on the motion of a particle are called constraints. A constraint is a restriction or condition that limits the possible motion of a system of partic ...

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python programming
July 17, 2023
by rsroybaruah PROGRAMMING

Beginner’s Guide to Python Programming

Programming is similar to giving instructions to a computer in a language it understands. Programmers, like us, communicate with computers using unique codes and instructions. Python programming is a versatile and beginner-friendly language known for its ...

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0
Aryabhata
July 16, 2023
by rsroybaruah INSIGHTS

Exploring the Life and Contributions of Aryabhata: The Great Indian Mathematician and Astronomer

Introduction: Who Was Aryabhata? Aryabhata, an extraordinary figure in the history of mathematics and astronomy, remains an inspirational icon for many. Born in 476 CE in Kusumapura (modern-day Patna, India), Aryabhata was a pioneering mathematician a ...

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