Two identical particles are attached at the ends of a light string which passes through a hole at the center of a table. One of the particles is made to move in a circle on the table with angular velocity ${\mathrm{\omega }}_1$ and the other is made to move in a horizontal circle as a contact pendulum with angular velocity ${\mathrm{\omega }}_2$. If l₁ and l₂ are the length of the string over and under the table, then in order to particle under the table neither moves down nor moves up, the ratio l₁/l₂ is