Doubt regarding the terms used in the solution

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SUMMARY

The discussion clarifies the terms Lcm and Icm, which refer to the angular momentum and moment of inertia of a sphere, respectively, calculated from the center of mass (cm) of the sphere. The use of "cm" in the subscripts indicates that these values are derived from the center of mass axis. Additionally, the term "vο" for translational velocity is identified as a misprint, and it should correctly be represented as "v" in the context of the sphere's rolling motion.

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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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