A disc in space will rotate or not?

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Homework Help Overview

The discussion revolves around the dynamics of a uniform thin flat isolated disc in space, specifically examining the effects of an applied force on its rotation and acceleration. Participants are exploring whether the disc will rotate when a force is applied at a specific distance from its center.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses confusion about the conditions under which the disc would rotate versus just accelerate. They question the choice of the center of rotation and its implications. Another participant suggests setting up equations to analyze the situation.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the setup of equations, but no consensus has been reached on the behavior of the disc under the applied force.

Contextual Notes

There is a focus on the assumptions regarding the center of rotation and the effects of the applied force, which may not be fully defined in the problem statement.

mooncrater
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Homework Statement


Consider this question:
"A uniform thin flat isolated disc is floating in space. It has radius R and mass m. A force F is applied to it at a distance ##d=\frac {R}{2}## from the centre of the disc. So,
Will the disc rotate with accelerating in the direction of force or it won't rotate and will accelerate only?

Homework Equations

The Attempt at a Solution


I think it won't rotate. If it will then it's not clear which point is chosen as the centre of rotation. If it is the centre of the disc, then why is it chosen? I am confused about this thing.
 
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Why don't you just set up the equations, and see what they tell you?

Chet
 
mooncrater said:

Homework Statement


Consider this question:
"A uniform thin flat isolated disc is floating in space. It has radius R and mass m. A force F is applied to it at a distance ##d=\frac {R}{2}## from the centre of the disc. So,
Will the disc rotate with accelerating in the direction of force or it won't rotate and will accelerate only?

Homework Equations

The Attempt at a Solution


I think it won't rotate. If it will then it's not clear which point is chosen as the centre of rotation. If it is the centre of the disc, then why is it chosen? I am confused about this thing.

Suppose a disc is rotating about a point on its edge. What can you say about the motion of its centre of mass?
 
imageRB1.jpg
 
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