Force acting on rotatble object

  • Thread starter LonelyStar
  • Start date
  • #1
Hi everybody,
I've the following problem:
I have a force "F" pulling a body at point "P" while the center of gravity of the body is at "A". The Body has a Moment of Inertia of "I" and a mass of "M".

The question is: What is the acceleration of the centre of gravity and what is the angular acceleration of the body.

If the centre of gravity would be fixed, I would know what to do, but it is not.
If "A-P" and "F" would be in linear relation to each other, the solution would be F=M*a, would it not?

But what happens in general?

Any help/Ideas?
Thanks!!!
Nathan
 

Answers and Replies

  • #2
Doc Al
Mentor
45,180
1,506
translation plus rotation

That force will produce a translational acceleration of the center of mass (F = ma) as well as exert a torque about the center of mass producing an angular acceleration about the center of mass ([itex]\tau = I \alpha[/itex]).
 
  • #3
OK, did not know that it is that simple. I thought there would be some special trick to it.
Thanks!
Nathan
 

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