Limiting case for an angle in an equation

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Homework Help Overview

The discussion revolves around finding limiting cases for an angle in a specific equation related to theoretical physics, particularly from Landau's course on Classical Theory of Fields. The original poster expresses difficulty in understanding how to determine these limiting cases under different conditions involving variables V and v0.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the concept of independent variables in relation to extrema, specifically questioning whether tetha_0 is the correct independent variable when V and v0 are held constant. There is also an inquiry into the process of finding extrema of the cotangent expression.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the independent variable and exploring the implications of setting certain variables constant. Some guidance has been offered regarding the examination of the cotangent expression, but no consensus has been reached.

Contextual Notes

The original poster notes that this problem is not a traditional homework assignment, indicating a more exploratory approach to the topic. There is an acknowledgment of the complexity of the problem, which has led to a request for advice and derivation steps.

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Homework Statement


7691_F9_E4254_AB9929_EB8_EFE7135_F1_BF765_F8820_D71_ABADB.jpg


Homework Equations


The one in the middle with cot (big tetha)

The Attempt at a Solution


I have no ideea how he finds the limiting cases for V<v0; v0<V and for V> v0/sqrt (1-v0^2) .
The problem is from Landau course for theoretical physics, volume 2: The Classical Theory of Fields. page 35.
I have been struggling with this problem for quite some time but made no real progress. Any bit of advice or even a full derivation step by step would be much appreciated. Is not a homework in the real sense btw. Thank you.
 
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What is the independent variable for finding the extrema of
upload_2016-11-4_14-22-13.png

?
 
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TSny said:
What is the independent variable for finding the extrema of
View attachment 108463
?

I would say the independent variable is tetha_0 since for each case we set V and V0 constant.
 
Xsnac said:
I would say the independent variable is tetha_0 since for each case we set V and V0 constant
Yes. Did you try finding the extrema of the right-hand side of the cotΘ expression?
 

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