Answer to Question #269782 in Physics for Fanah

Question

Two massless strings connect a sphere of mass 9.76kg to a vertical pole where d=1.17m and l=2.33m.The spheres revolves in a horizontal circle at a constant speed of 9.33 m/s (without the wires wrapping around the pole). Determine the magnitudes of the tension in each string.

Answer 1

The centripetal force is balanced by the tensions:

$$F_c=m\frac{v^2}r=T_1+T_2,\\\space\\ T_1=m\frac{v^2}r=726\text{ N},\\ T_2=0.$$