Linked Questions

61 votes
10 answers
46k views

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 (...
Shashaank's user avatar
  • 2,827
8 votes
4 answers
1k views

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 ...
JLagana's user avatar
  • 327
1 vote
2 answers
2k views

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 ...
Sachin Chaudhary's user avatar
2 votes
2 answers
997 views

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 ...
Vatsal Manot's user avatar
1 vote
2 answers
1k views

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 ...
Tripti Khulbe's user avatar
-1 votes
1 answer
3k views

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 ...
Fatimah Rashid's user avatar
1 vote
3 answers
783 views

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 ...
Amjad Gd's user avatar
0 votes
2 answers
178 views

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 ...
hykkr's user avatar
  • 61
21 votes
8 answers
11k views

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 ...
Alraxite's user avatar
  • 1,375
19 votes
1 answer
15k views

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 ...
Lanae's user avatar
  • 313
2 votes
3 answers
1k views

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, ...
joshuaronis's user avatar
  • 3,125
0 votes
3 answers
3k views

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 ...
Pupil's user avatar
  • 1,120
1 vote
1 answer
1k views

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 ...
Michael H's user avatar
1 vote
1 answer
1k views

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 ...
Self-teaching worker's user avatar
-1 votes
1 answer
833 views

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 ...
Subhranil Sinha's user avatar

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