Chapter 16, Problem 59P

GO In Fig. 16-43, an aluminum wire, of length L₁ = 60.0 cm, cross-sectional area 1.00 × 10⁻² cm², and density 2.60 g/cm³ is joined to a steel wire, of density 7.80 g/cm³ 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 L₂ 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?

Figure 16-43 Problem 59.