What do Lcm and Icm mean in angular momentum problems?

[tbn032]

In the solution, the term L_cm and I_cm 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 L_cm and I_cm 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.

 

[PeroK]

View attachment 313101 Is the term L_cm and I_cm 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.

 

[tbn032]

Also in the solution it is written "suppose the translational velocity of the sphere after it start rolling,is v_ο"is this a misprint ?, and it should have been written v instead of v_ο.

 

[PeroK]

Also in the solution it is written "suppose the translational velocity of the sphere after it start rolling,is v_ο"is this a misprint ?, and it should have been written v instead of v_ο.

Yes!