Question

consider a uniform rope of mass per unit length 'p' and length 'a' suspended above the table as shown in the figure,. if the rope is released from rest at the top, what is the force on the table when a length 'x' of the rope has dropped onto the table?

Answer 1

Assuming that the rope doesn't have compressional tension -
Force on the table will be due to -
-weight of the part of rope already lying on the table
-impulse of the differential element of rope hitting the table