B Doubt regarding the terms used in the solution

AI Thread Summary
The terms Lcm and Icm refer to the angular momentum and moment of inertia of a sphere, respectively, as measured from the center of mass. The "cm" indeed stands for center of mass, indicating that these calculations are based on the sphere's center of mass axis. There is a discussion about a potential misprint in the solution regarding the translational velocity, suggesting it should be "v" instead of "vο." This clarification is important for accurate understanding and application of the concepts. Overall, the terms and their usage in the solution are confirmed to be correct, with the noted misprint being the only issue.
tbn032
Messages
34
Reaction score
7
20220822_165229.jpg

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.
 
Physics news on Phys.org
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!
 

Thread 'Average velocity as a weighted mean'

Hello everyone, Consider the problem in which a car is told to travel at 30 km/h for L kilometers and then at 60 km/h for another L kilometers. Next, you are asked to determine the average speed. My question is: although we know that the average speed in this case is the harmonic mean of the two speeds, is it also possible to state that the average speed over this 2L-kilometer stretch can be obtained as a weighted average of the two speeds? Best regards, DaTario
View full post »

Thread 'Inclined treadmills and Galilean Invariance'

This has been discussed many times on PF, and will likely come up again, so the video might come handy. Previous threads: https://www.physicsforums.com/threads/is-a-treadmill-incline-just-a-marketing-gimmick.937725/ https://www.physicsforums.com/threads/work-done-running-on-an-inclined-treadmill.927825/ https://www.physicsforums.com/threads/how-do-we-calculate-the-energy-we-used-to-do-something.1052162/
View full post »

Similar threads

Rotating Sphere: Conceptual Question
Replies
10
Views
3K
I Effects of External Torques on the Angular Momentum of Asymmetric Bodies
Replies
3
Views
2K
Is angular momentum taken about a point or an axis?
Replies
17
Views
2K
I Angular velocity of a rod and what formula to use while solving.
Replies
15
Views
2K
How can angular velocity be independent of the choice of origin?
Replies
42
Views
6K
A question about angular momentum and torques....
Replies
6
Views
2K
Moment of inertia of a thin uniform rod
Replies
5
Views
3K
B The physics of flywheel launchers (like tennis ball shooters)
2
Replies
60
Views
4K
B Reducing resonance in a rotating "World"
Replies
8
Views
776
Angular Momentum: Testing Understanding With Sphere Rotation
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top