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

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SUMMARY

The discussion focuses on the differences between two physics problems from Irodov and Krotov regarding rotational dynamics. The key equations involved include energy conservation and the equation mgcosx - N = mv^2/r, with N being zero in the limiting case. The participant solved the problem and found the answer from Irodov to be (0.33 gR(7cosx-4))^1/2, while noting discrepancies in Krotov's approach, particularly the omission of rotational kinetic energy. The moments of inertia for a solid cylinder and disk are confirmed to be the same, but Krotov's treatment leads to different conclusions due to the assumptions made about the system.

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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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