Question

A horizontal frictionless table has a small hole in its center. Block A on the table is connected to block B hanging vertically beneath by an unstretching string of negligible mass which passes through the hole. Suppose that the blocks are each subject to linear air resistance. (Large objects moving through air, such as these, are actually in the quadratic regime, but that makes the problem too hard so instead assume that the linear regime applies.) Obtain the differential equations of motion for the two blocks using cylindrical coordinates. You do not need to solve the equations, but write them out with all forces and constraints included.

Answer 1