Two Masses Are Attached to a 1-Meter Rope as Shown

Multiple Choice

Two masses are attached to a 1-meter rope as shown such that part of the rope hangs vertically below the frictionless table.m₁ (= 2 kg) is set into circular motion with speed 3.0 m/s.What is the length of rope hanging vertically below the table if tension in the rope if m₂ (= 5 kg) is to remain stationary?

A) 0.18 m
B) 0.60 m
C) 0.82 m
D) 0.71 m
E) 0.29 m