Linked Questions
20 questions linked to/from Do objects rotate around the torque vector or its center?
61
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10
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Why does a body always rotate about its center of mass? [duplicate]
I found after searching that this question has been asked before. But all the answers were not convincing.
Suppose I have a body which is free, not constrained always rotate about its center of mass (...
8
votes
4
answers
1k
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Paradox in applying Newton's second law [duplicate]
Suppose I apply two vertical but opposite forces with the same magnitude in a body like is shown in the picture:
According to newton's second law, the center of mass shouldn't accelerate, since the ...
1
vote
2
answers
2k
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Will there be translation + rotational motion? [duplicate]
If a rod is on a frictionless plane, and a force is applied on one of it's end, will there be both, translation + rotation motion?
Also, if only a single force is applied on a body that does not pass ...
2
votes
2
answers
997
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At what point does force stop translating an object and start purely rotating it? [duplicate]
At what point (or distance) from the axis of rotation, does force applied on a rigid body stop translating and purely rotating the body? Can such a point even exist? Does the body always have to ...
1
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2
answers
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Does a body always rotate purely about its center of mass? [duplicate]
For example : A rod is held stationary in vertical position on a smooth horizontal ground and then released. Now the center of mass has velocity and acceleration and every point of the rod has some ...
-1
votes
1
answer
3k
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Relation between centre of mass and axis of rotation [duplicate]
Why is that in absence of a manually fixed point, a body shows its turning effect on application of a torque with its axis of rotation through its centre of mass?
my attempt:
is there a definition of ...
1
vote
3
answers
783
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Object Pushed by Multiple Forces [duplicate]
If we have a general object and we have multiple forces acting on it at several points.
Assuming we know the center of mass, mass and moment of inertia of the object:
Will the object rotate only ...
0
votes
2
answers
178
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Does an object rotate around its COM when no torque is given? [duplicate]
Does an object rotate around its COM when no torque is given?
For example if I were to throw a baseball bat in the air(I will hold it by the end of its shaft while I am throwing it and swing it ...
21
votes
8
answers
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What is the proof that a force applied on a rigid body will cause it to rotate around its center of mass?
Say I have a rigid body in space. I've read that if I during some short time interval apply a force on the body at some point which is not in line with the center of mass, it would start rotating ...
19
votes
1
answer
15k
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Derivation of Newton-Euler equations
I am in search of a simplified version of the derivation of Newton-Euler equations (both translational and rotational) for a rigid body (3D block) that has a body fixed frame and where the center of ...
2
votes
3
answers
1k
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Multiple Centers of Mass [closed]
This may sound like a trivial question, but I am wondering: is it possible for there to be multiple centers of mass? And if it isn't, why?
For example, take some arbitrary 3-Dimensional object, ...
0
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3
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Torque on a disc?
In the following diagram:
Point(c) is a going into the page and attached to the disc, Point(c) applies a torque($\tau$) to the disc, and it starts to rotate due to that torque.
And if point(c) was ...
1
vote
1
answer
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Does mass distribution/center of mass affect free fall?
An everyday is example would be cars. If you were to drop a car, not taking air resistance into account, would a front-heavy car tumble forward as it fell? And a car with a perfect 50/50 front/rear ...
1
vote
1
answer
1k
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One force applied to one point of a rigid body: centre of mass and torque [duplicate]
Let us suppose that one force is applied to a point of a rigid body that is not acted upon by any other force. I think an example can approximatively be a rock in deep space, far from any relevant ...
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1
answer
833
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In pure translation why the body does not exhibit rotation only and only about the CM? [closed]
Suppose I have a rod in pure translation as shown in the picture with some constant acceleration. The two forces $F_1$ and $F_2$ act as shown. So clearly due to the definition of pure translation ...