Doubt regarding the terms used in the solution

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Discussion Overview

The discussion revolves around the terminology used in a solution related to angular momentum and moment of inertia, specifically the terms Lcm and Icm. Participants seek clarification on the meanings of these terms and their implications in the context of a sphere's motion, including the translational velocity notation.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant questions the meaning of Lcm and Icm, suggesting that "cm" likely stands for center of mass and inquires about the relevance of angular momentum from the center of mass of the sphere.
  • Another participant confirms that Lcm and Icm refer to the angular momentum and moment of inertia of the sphere from the axis passing through the center of mass, respectively.
  • Concerns are raised regarding the notation "vο" for translational velocity, with participants suggesting it may be a misprint and should simply be "v".

Areas of Agreement / Disagreement

There is agreement among participants regarding the meanings of Lcm and Icm. However, the discussion about the notation "vο" remains unresolved, with multiple participants questioning its correctness.

Contextual Notes

The discussion does not resolve whether "vο" is indeed a misprint, leaving the notation's accuracy open to interpretation.

tbn032
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In the solution, the term Lcm and Icm is used. Explain the meaning of these terms? I think cm stands for centre of mass. why that is used in the subscript?does the term angular momentum from the centre of mass of the sphere makes sense? Is the term Lcm and Icm stand for angular momentum of the sphere from the axis passing through the centre of mass of the sphere and moment of inertia of sphere from the axis passing through the centre of mass of the sphere respectively.
 
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tbn032 said:
View attachment 313101 Is the term Lcm and Icm stand for angular momentum of the sphere from the axis passing through the centre of mass of the sphere and moment of inertia of sphere from the axis passing through the centre of mass of the sphere respectively.
Yes.
 
Also in the solution it is written "suppose the translational velocity of the sphere after it start rolling,is vο"is this a misprint ?, and it should have been written v instead of vο.
 
tbn032 said:
Also in the solution it is written "suppose the translational velocity of the sphere after it start rolling,is vο"is this a misprint ?, and it should have been written v instead of vο.
Yes!
 

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