Does every object rotate around its center of gravity?

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Objects like rockets and planes typically rotate around their center of gravity (CG), while boats do not due to their unique design and interaction with water. Boats pivot around their centerboard or keel rather than their CG, which is influenced by the forces acting on them, including buoyancy and drag. The center of buoyancy plays a significant role in a boat's stability and rotation, differing from the aerodynamic forces acting on aircraft. The choice of pivot point for rotation is flexible, depending on the scenario and forces involved, but the change in orientation remains constant regardless of the reference point chosen. Understanding these dynamics is crucial for analyzing the motion of different vehicles in their respective environments.
  • #121
kinsler33 said:
It will then rotate around its center of mass.
Or around any other reference point you choose to describe its motion.
 
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  • #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.
 
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  • #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?
 
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  • #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."
 

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