Rotation of a solid body about CM?

  • Context: Undergrad 
  • Thread starter Thread starter gursimran
  • Start date Start date
  • Tags Tags
    Body Rotation Solid
Click For Summary

Discussion Overview

The discussion revolves around the rotation of a solid body about its center of mass (CM) when subjected to an impulsive force in a vacuum. Participants explore the theoretical explanations for why rotation occurs about the CM rather than any other axis, considering factors such as air drag and the implications of internal forces.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions why a body rotates only about the CM and not another axis, suggesting that instinct might not fully explain the phenomenon.
  • Another participant references Newton's first law to explain that if no forces act on the body after an impulse, the CM must move with constant speed in a straight line, implying that rotation about another point would contradict this motion.
  • There is a suggestion that a body could rotate about a point other than the CM in the presence of air drag.
  • Participants discuss the concept of moment of inertia, with one stating that it is least about the CM, allowing for easier rotation, while another challenges the relevance of "effort" in this context.
  • Some participants express confusion regarding the relationship between moment of inertia and rotation about the CM, indicating a need for clarification on these concepts.

Areas of Agreement / Disagreement

Participants exhibit some agreement on the fundamental principles of motion and rotation, particularly regarding the role of the CM. However, there are disagreements about the implications of moment of inertia and the influence of external factors like air drag, leaving the discussion unresolved on these points.

Contextual Notes

Some participants express uncertainty about the definitions and relationships between concepts such as moment of inertia and rotation, indicating potential limitations in their understanding of the underlying physics.

gursimran
Messages
35
Reaction score
0
We know when a body is given a impulsive force in total vaccum, it rotates along with translation about the centre of mass. Now the question is why does it rotate only about the CM and not any other axis. We al know this seems obvious due to insinct but how can the theory explain it. Does any other effects like air drag effect this?

PS -consider the cases when the body does not rotate about its CM and put emphasis on geometric centre.. why does the not rotate naturally about geometric centre..
 
Physics news on Phys.org
welcome to pf!

hi gursimran! welcome to pf! :smile:

it's good ol' Newton's first law …

(ok, strictly that's only for point masses, but we can extend it to rigid bodies using Newton's third law to cancel out all the internal forces! :wink:)

if the only force is impulsive, that means that after the impulse time, there are no forces acting on it

if there are no forces acting on it, then its centre of mass must move with constant speed in a straight line

if it was rotating about some other point in the body, that would have to be moving in a straight line …

they can't both be moving in a straight line unless there's no rotation :wink:
 


tiny-tim said:
hi gursimran! welcome to pf! :smile:

it's good ol' Newton's first law …

(ok, strictly that's only for point masses, but we can extend it to rigid bodies using Newton's third law to cancel out all the internal forces! :wink:)

if the only force is impulsive, that means that after the impulse time, there are no forces acting on it

if there are no forces acting on it, then its centre of mass must move with constant speed in a straight line

if it was rotating about some other point in the body, that would have to be moving in a straight line …

they can't both be moving in a straight line unless there's no rotation :wink:


Thanks tiny-tim for reply, I got it. I just seem to forget the fundamentals..
1.Does it means that a body can rotate about a point other than CM in air (due to drag)

2.Ok then how do you relate this to that a body has minimum centre of interia about the CM..

3. Another thing that comes is that its not possible for a body to rotate about a point other that CM if only internal forces act inside the body..
 
hi gursimran! :smile:

(just got up :zzz: …)
gursimran said:
1.Does it means that a body can rotate about a point other than CM in air (due to drag)

yes
2.Ok then how do you relate this to that a body has minimum centre of interia about the CM..

(you mean moment of inertia :wink:)

sorry, not following you :confused:
3. Another thing that comes is that its not possible for a body to rotate about a point other that CM if only internal forces act inside the body..

yes, because with no external forces, the centre of mass must move in a straight line :smile:
 
tiny-tim said:
hi gursimran! :smile:

(just got up :zzz: …)


yes


(you mean moment of inertia :wink:)

sorry, not following you :confused:


I mean we can explain the other way around in a bit non technical fashion like this. The moment of intertia is least about the CM of a body and so it rotates with minimum effort. So the body rotates about the axis where the effort is minimum. I know its very non technical but...
 
gursimran said:
The moment of intertia is least about the CM of a body and so it rotates with minimum effort. So the body rotates about the axis where the effort is minimum.

no

the moment of inertia is in an equation relating torque to angular velocity

but the angular velocity is the same about any point

"effort" has nothing to do with it :confused:
 
ok then thankyou very much ... i think i got most of the stuff :)
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
1K
  • · Replies 33 ·
2
Replies
33
Views
4K
  • · Replies 19 ·
Replies
19
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K