A scientist assembled large amount of cable. The longest piece of cable that is hung vertically and does not break under its own weight is of length k. He then places another piece of the cable on a friction-less table. A small part of the cable is hanging over one side and the cable begins to slide after the scientist released it. What is the maximum length of the piece of cable on the table if it is not to break while sliding?
Force of gravity = m * a.
Tension = Force of gravity
The Attempt at a Solution
I am at a total lost on this one. I assume that the part hanging over the table is infinitesimal at the beginning right?
I don't need / want full answer, I need a hint on how to start on this problem.
Thank you :)