Two particles of mass 5 g and 10 g respectively are joined by a light string which passes through a small hole on a smooth table. The smaller particle describes a circle of radius R on the table at a rate of 4 revolutions per second while the heavier particle hangs at rest below the table. Sketch the situation showing forces acting and find R to the nearest millimeter.

To answer this question and find the value of R, we need to analyze the forces acting on the smaller particle and solve for the radius.

Let's start by sketching the situation to visualize the forces. We have two particles, one on the table and one hanging below the table. The smaller particle is describing a circle on the table with radius R.