A disc in space will rotate or not?

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SUMMARY

The discussion centers on the dynamics of a uniform thin flat isolated disc in space when a force F is applied at a distance of d = R/2 from its center. Participants conclude that the disc will not rotate but will accelerate in the direction of the applied force. The confusion arises regarding the choice of the center of rotation, with emphasis on the importance of understanding the motion of the center of mass when the disc is subjected to external forces.

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  • Knowledge of center of mass and its significance in motion
  • Basic principles of forces acting on rigid bodies
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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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