Yug Ahuja's latest activity
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YYug Ahuja reacted to PeroK's post in the thread Undergrad Why does Moment of Inertia have an R^2 dependence (logically)? with
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If momentum of a particle is conserved, then angular momentum about any point is conserved, where angular momentum is defined as ##\vec... -
YYug Ahuja reacted to robphy's post in the thread Undergrad Why does Moment of Inertia have an R^2 dependence (logically)? with
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You may be interested in https://en.wikipedia.org/wiki/Moment_(mathematics) In the spirit of @wrobel 's first post, one could uncover... -
YYug Ahuja reacted to A.T.'s post in the thread Undergrad Why does Moment of Inertia have an R^2 dependence (logically)? with
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Note that you can derive the concept of torque from linear forces based on a simple static truss-structure, without relying on energy or... -
YYug Ahuja reacted to Herman Trivilino's post in the thread Undergrad Why does Moment of Inertia have an R^2 dependence (logically)? with
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Are you okay with an introductory notion of torque as leverage? Think about using a pry bar. It's a lever. As you operate the lever the... -
YYug Ahuja replied to the thread Undergrad Why does Moment of Inertia have an R^2 dependence (logically)?.Thank you everyone for the fascinating discussion. It is clear that explaining this factor rigorously requires advanced tools like...
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YYug Ahuja replied to the thread Undergrad Momentum vs inertia.Thanks for the feedback, sophiecentaur. You're absolutely right that in mathematical physics and engineering, we dump the word "inertia"...
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YYug Ahuja reacted to Matterwave's post in the thread Undergrad Why does Moment of Inertia have an R^2 dependence (logically)? with
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One thing I'd like to emphasize here, just in case it gets lost in the math a little, is that the cylindrical coordinates are used here... -
YYug Ahuja reacted to Dale's post in the thread Undergrad Why does Moment of Inertia have an R^2 dependence (logically)? with
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I would use a Lagrangian approach for this. For a free body in cylindrical coordinates the Lagrangian is: $$L = \frac{1}{2}m \left( \dot... -
YYug Ahuja reacted to wrobel's post in the thread Undergrad Why does Moment of Inertia have an R^2 dependence (logically)? with
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I get it. That’s not really my area — I mostly just solve problems. But this forum has experts on the otherworldly essence of... -
YYug Ahuja replied to the thread Undergrad Why does Moment of Inertia have an R^2 dependence (logically)?.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...
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YYug Ahuja replied to the thread Undergrad Momentum vs inertia.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...
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YYug Ahuja posted the thread Undergrad Why does Moment of Inertia have an R^2 dependence (logically)? in Mechanics.I am trying to understand the physical and intuitive origin of the ##𝑟^2## factor in the moment of inertia (𝐼=𝑚𝑟2) from first...
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YWelcome to PF! :smile:
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YI am Yug Ahuja, an undergrad from india preparing for entrance exam to get into college. I love physics, mathematics, computer science.