Rotational Dynamics, 1.68(SS.Krotov) and 1.264(Irodov)

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Homework Help Overview

The discussion revolves around two problems from rotational dynamics, specifically comparing solutions from Krotov and Irodov. Participants are examining the differences in the questions and the implications of those differences on the solutions provided.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to identify discrepancies between the two problems, particularly focusing on the moments of inertia and the treatment of kinetic energy in the solutions. Questions arise regarding the assumptions made in the problems and how they affect the final equations.

Discussion Status

There is an ongoing exploration of the differences in the problems, with some participants noting the omission of rotational kinetic energy in Krotov's solution. Guidance is being offered regarding the interpretation of moments of inertia and their relevance to the problems at hand.

Contextual Notes

Participants mention that the setup involves light wheels on a heavy axle, suggesting that the rotational kinetic energy may be negligible in this context. There is also a reference to the figures provided in the original post, which may influence the understanding of the problems.

Shridhar
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Homework Statement


I have attatched both the problems. The figure is essentially the same.

Homework Equations


1. Energy conservation
2.mgcosx - N = mv^2/r , where N is zero in limiting case.

The Attempt at a Solution


I solved the whole question and got the answer given in irodov(0.33 gR(7cosx-4))^1/2 .
But answer given in krotov is different.
So, there must be a difference in questions but i am unable to grasp it.
Thanks in advance.
 

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Shridhar said:
there must be a difference in questions
The moments of inertia are different.
 
haruspex said:
The moments of inertia are different.
Well, in the detailed answer Krotov has ignored Kinetic energy due to rotational motion completely.His final equation is
mv^2/2 = mV^2/2 - mgr(1-cosx).
Anyways, moment of inertia of solid cylinder and disk are same
 

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