In Fig. 16-42, an aluminum wire, of length Ll = 60.0 cm,

Chapter 16, Problem 59

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In Fig. 16-42, an aluminum wire, of length Ll = 60.0 cm, cross-sectional area 1.00 X 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?

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