In Fig. 16-43, an aluminum wire, of length `L_1= 60.0 cm,` cross-sectional area `1.25 xx 10^(-2)cm^(2)` and density `2.60 "g/cm"^(3),` is joined to a steel wire, of density 7.80 g/cm`""^(3)` and the same cross-sectional area. The compound wire, loaded with a block of mass m =10.0 kg, is arranged so that the distance `L_2` from the joint to the supporting pulley is 86.6 cm. Transverse waves are set up on the wire by an external source of variable frequency: a node is located at the pulley, (a) Find the lowest frequency that generates a standing wave having the joint as one of the nodes. (b) How many nodes are observed at this frequency?

Answer

(a) 289 Hz (b) eight nodes