Recent content by Yug Ahuja

Thank you everyone for the fascinating discussion. It is clear that explaining this factor rigorously requires advanced tools like Noether's Theorem and Lagrangian Mechanics, which are currently outside my scope as an incoming undergrad. Since I need to prioritize my upcoming exams, I won't be...

Thanks for the feedback, sophiecentaur. You're absolutely right that in mathematical physics and engineering, we dump the word "inertia" and just stick to ##(m)## and ##(I)## to avoid ambiguity. My goal was to look at it from a pedagogical standpoint. Textbooks frequently introduce Newton’s...

but Sir, if we take angular momentum as starting axiom, how do we define it such that its formulation naturally come out to be ##\vec p \times \vec v##

momentum and inertia aren't the same quantity! lets talk about momentum first The best definition of it as i know is 'the amount of motion'. This quantity remains conserved in an isolated system. it changes when an external force acts on the system And the beauty of this definition is that it...

I am trying to understand the physical and intuitive origin of the ##𝑟^2## factor in the moment of inertia (𝐼=𝑚𝑟2) from first principles, but I keep running into circular or unsatisfactory definitions in standard textbooks. Usually, the [𝑟2] factor is justified using one of two methods: The...

I am Yug Ahuja, an undergrad from india preparing for entrance exam to get into college. I love physics, mathematics, computer science.