A mass m rotating freely in a horizontal circle of radius 1 m on a frictionless smooth table supports a stationary mass 2m, attached to the other end of the string passing through smooth hole O in table, hanging vertically. Find the angular velocity of rotation.

Question

G1 Physics · Accepted Answer

The hanging mass 2m is stationary, so T=2mg. For the rotating mass m at radius 1 m, T=mω²(1). Thus ω²=2g and ω=√(2g) rad/s.