Does every object rotate around its center of gravity?

Click For Summary

Discussion Overview

The discussion revolves around the question of whether every object rotates around its center of gravity (CG), with a focus on the differences in rotational behavior between rockets, planes, and boats. Participants explore theoretical and practical implications of rotation in various contexts, including fluid dynamics and the mechanics of motion.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants argue that rockets and planes rotate about their center of gravity, while questioning why boats do not follow the same principle.
  • Others point out that boats have additional structures like keels and centerboards that influence their pivot points and rotational dynamics.
  • A participant mentions that the AC75 racing boat's design allows it to rotate around a point outside its hull, emphasizing the importance of considering all forces, not just gravity.
  • There is a discussion about how planes can be viewed as pitching about a horizontal axis through the wings, while sailboats can be seen as yawing about a vertical axis through the centerboard.
  • Some participants express confusion regarding the relationship between center of gravity and center of pressure in rockets, particularly in terms of stability and rotation.
  • It is noted that the choice of reference point for describing rotation is flexible, and different points can yield valid descriptions of motion.
  • Participants highlight that a rigid object in isolation will typically rotate about its center of mass, but external forces can alter this behavior.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether all objects rotate around their center of gravity, with multiple competing views and ongoing confusion regarding the implications of fluid dynamics and rotational mechanics.

Contextual Notes

Participants mention various assumptions and conditions, such as the effects of external forces on rotation and the influence of fluid density on the behavior of boats compared to aircraft.

  • #121
kinsler33 said:
It will then rotate around its center of mass.
Or around any other reference point you choose to describe its motion.
 
  • Like
Likes   Reactions: etotheipi
Physics news on Phys.org
  • #122
But only the center of mass will precisely follow the trajectory of a thrown and spinning object. I think every physics text has a stock photograph of a thrown adjustable wrench.
 
  • #123
kinsler33 said:
But only the center of mass will precisely follow the trajectory of a thrown and spinning object.
Yes, the CM follows the motion resulting from linear Newtons 2nd Law. That makes it often a convenient choice for a reference point.
 
  • Like
Likes   Reactions: etotheipi
  • #124
I feel like I'm watching Groundhog Day. Given a set of questions, is it really necessary to ask all possible permutations of the same set of questions?
 
  • Haha
  • Love
  • Like
Likes   Reactions: etotheipi, russ_watters and Delta2
  • #125
Good question. I will admit that I didn't look at all the replies to this inquiry, principally because there were five or six pages of them. The solution to that administrative quandry is left as an exercise for the site owner.

M Kinsler
 
  • #126
A.T. said:
Or around any other reference point you choose to describe its motion.
If you do that, then the reference point won't be stationary.
 
  • #127
kinsler33 said:
Turn off the boat's engine and lift it out of the water. Now fling it into the air. It will then rotate around its center of mass.
A.T. said:
Or around any other reference point you choose to describe its motion.
Shane Kennedy said:
If you do that, then the reference point won't be stationary.
Neither is the center of mass, if you fling something it into the air.
 
  • #128
John Mcrain said:
It is said that rocket,plane rotate about center of gravity ,why this is is not case for boats?
Boat pivot point is not in center of gravity.




When you have multiple variables, placing one of them at the origin of your frame of reference makes the calculations easier. Some of the videos you posted, that I watched, are simply placing the CoM as the origin of the grid space used to conduct calculations because zeroes are easy to deal with in calculations. It is an unconscious decision for most people to define their grid space in this way so when people see these explanations, they come to incorrect conclusions.

You see this, sometimes, when dealing with simple gravity problems because common language does not distinguish gravitational acceleration "downwards" as negative acceleration while altitude "above" a reference plane is considered positive. Without realizing that the origin is set to the "ground," a ball thrown "up" has a positive displacement, a positive velocity, and a negative acceleration. Once it hits the apex of its travel, its displacement is at its maximum positive displacement, its velocity is zero, and its negative acceleration remains constant (relatively speaking). As it begins to "fall", its displacement decreases, its velocity continues to decrease into negative values, and its acceleration remains constant. Just before it hits the "ground," its displacement is almost zero, its velocity has the same magnitude but negative of its launch velocity, and its negative acceleration remains constant.

However, if you chose the apex of flight as the origin, the calculations are different but give the same results. If you chose the center of the Earth as the origin, the calculations are more complicated still, but the results will still be the same.

Things rotate "around their CoM" because the calculations derived from that choice of origins for your grid space makes all the calculations easier. Basically, it is a short hand way of saying, "I am choosing the CoM" as the origin of my grid space to make my calculations easier." just like saying, "I am choosing the ground as zero altitude to make my calculations easier for the flight of a baseball."
 

Similar threads

  • · Replies 141 ·
5
Replies
141
Views
8K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 29 ·
Replies
29
Views
3K
  • · Replies 15 ·
Replies
15
Views
3K
  • · Replies 49 ·
2
Replies
49
Views
5K
  • · Replies 38 ·
2
Replies
38
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 51 ·
2
Replies
51
Views
5K
  • · Replies 24 ·
Replies
24
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K