Centripetal Force: Spinning, Ejected Matter & Velocity

[THE 1]

If you had a piece of matter which was loosly held together by gravitational interaction spinning on an axis and the centripetal force being produced was larger than the gravitational force holding the matter together would the matter that has become separate due to the centrapetal force still be spinning or would it be ejected with no spin? Also if another piece of matter was ejected after the original piece would it have a larger or smaller velocity than that of the original ejected piece?

 

[Chi Meson]

If you had a piece of matter which was loosly held together by gravitational interaction spinning on an axis and the centripetal force being produced was larger than the gravitational force holding the matter together would the matter that has become separate due to the centrapetal force still be spinning or would it be ejected with no spin? Also if another piece of matter was ejected after the original piece would it have a larger or smaller velocity than that of the original ejected piece?

Centripetal force is NOT "produced." Centripetal force is "required" in order for an object to undergo circular motion. In this case the gravitational force would be the centripetal force. In other words, there are not two forces, just one, gravity, which in this case will be "centripetal" (which is a directional indicator, meaning "pointing to center").

So, in the case that the spin is so much that the gravitational force is not enough to provide the necessary centripetal force, the parts that make up the object will travel further apart.

As the parts travel away from each other they will still conserve angular momentum, and will continue rotating themselves. Since it is the net (total) angular momentum that is conserved, and since the parts will have some dynamic interaction amonst themselves (for a while at least) it would be a very difficult calcualtion to predict how much spin each part will have.

 

[charng]

I can say that the matter would still be spinning even after being separated due to the centripetal force being larger than the gravitational force holding it together. This is because the spinning motion is a result of the initial angular momentum of the matter and it would continue to spin unless acted upon by an external force.

If another piece of matter is ejected after the original piece, its velocity would depend on various factors such as the magnitude of the centripetal force, the distance from the axis of rotation, and the mass of the ejected piece. It is difficult to determine the exact velocity without knowing these factors. However, in general, the ejected piece would have a smaller velocity compared to the original piece as it would have to overcome the gravitational force of the original piece before gaining its own velocity.