Pulling Tablecloth Under Steel Ball, Finding Speed

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The discussion revolves around a physics problem involving a steel ball on a tablecloth being pulled horizontally. The key point is that when the tablecloth is pulled, the ball experiences friction, which causes it to roll. The TA suggests that the ball's speed is zero when it reaches a state of rolling without slipping, as no external force acts directly on the ball. A contributor highlights the importance of conservation of angular momentum, indicating that it should be analyzed concerning the contact point of the ball. Understanding these principles is essential for solving the problem accurately.
GingerBread27
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Ok so I'm guessing my TA made up this problem on his own so I don't know how to start, considering there are no numbers and lol I just love having numbers to work with. Anyways here goes again lol I tried all weekend to get the solution and it's not working. Got help a week ago from this board but didn't understand the help.

A tablecloth covers a horizontal table and a steel ball lies on top of it. The tablecloth is pulled from under the ball (in a perfectly horizontal fashion), and friction causes the ball to move and roll. What is the ball's speed on the table when it reaches a state of rolling without slipping? Assume that the table is large enough that the ball does not fall off of it.

Help! :cry:

Our TA said the answer is 0 but I don't know at all how he got that.
 
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Thats because no force acts on the ball but on the cloth. So th ball is moved only by the act of friction by the movement of the cloth.Since it tell you to calculate the speed of the ball when it reaches a state of rolling without slipping(act of frictions) the answer is that it doesn't have any speed... enough??
 
GingerBread:
This is a neat example of conservation of angular momentum.
You should be able to show that angular momentum WITH RESPECT TO A POINT COINCIDENT WITH THE CONTACT POINT OF THE SPHERE is always conserved THROUGHOUT THE ENTIRE MOTION.
(that is time spent on cloth plus time spent off cloth up to the point of rolling on table)
 
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