A 0.114 kg meterstick is supported at its 36.6 cm mark by a string attached to the ceiling. A 0.649 kg mass hangs vertically from the 4.67 cm mark. A mass is attached somewhere on the meterstick to keep it horizontal and in both rotational and translational equilibrium. If the force applied by the string attaching the meterstick to the ceiling is 23.2 N, determine the following:
a. the value of the unknown mass
b. the point where the mass attaches to the stick