Doubt regarding the terms used in the solution

In summary, the terms Lcm and Icm are used in the solution and refer to the angular momentum and moment of inertia of a sphere from the axis passing through the center of mass, respectively. The term cm stands for center of mass and is used in the subscript. The term "suppose the translational velocity of the sphere after it starts rolling, is vο" may be a misprint and should potentially be corrected to v.
  • #1
tbn032
34
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20220822_165235.jpg

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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  • #2
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.
 
  • #3
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.
 
  • #4
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!
 

1. What does "solution" mean in the context of science?

In science, a solution refers to a homogeneous mixture of two or more substances. It is composed of a solute (the substance being dissolved) and a solvent (the substance in which the solute is dissolved).

2. What is the difference between a solute and a solvent?

A solute is the substance that is being dissolved in a solution, while a solvent is the substance in which the solute is dissolved. In most cases, the solvent is present in a larger amount than the solute.

3. What is a concentration in a solution?

Concentration in a solution refers to the amount of solute present in a given amount of solvent. It can be expressed in various units such as molarity, molality, and mass percent.

4. How do I calculate the concentration of a solution?

To calculate the concentration of a solution, you need to know the amount of solute and solvent present in the solution. The concentration can then be calculated using various formulas, depending on the units used. Some common formulas include molarity = moles of solute / liters of solution and mass percent = (mass of solute / mass of solution) x 100%.

5. What is a supersaturated solution?

A supersaturated solution is a solution that contains more solute than it can normally hold at a given temperature. This results in an unstable solution that can easily form crystals or precipitate out the excess solute.

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