Does every object rotate around its center of gravity?

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SUMMARY

The discussion centers on the rotational dynamics of various objects, specifically comparing rockets, planes, and boats. It establishes that while rockets and planes rotate around their center of gravity (CG), boats do not due to their unique design features, such as keels and centerboards, which influence their pivot points. The conversation emphasizes that the center of buoyancy and the geometry of the hull play critical roles in determining the rotation axis for boats, contrasting with the simpler dynamics of rockets and planes.

PREREQUISITES
  • Understanding of rotational dynamics and torque
  • Familiarity with the concepts of center of gravity and center of buoyancy
  • Knowledge of fluid dynamics, particularly in relation to air and water
  • Basic principles of mechanics, including forces and motion
NEXT STEPS
  • Research the principles of buoyancy and how they affect boat stability
  • Study the mechanics of rotational motion in rigid bodies
  • Explore the design and function of keels and centerboards in sailing
  • Learn about the differences in fluid dynamics between air and water
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Physics students, aerospace engineers, marine engineers, and anyone interested in the mechanics of motion in different fluid 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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