The figure shows an aluminum wire of length L 1 = 60.0 cm, cross-sectional area

Question

The figure shows an aluminum wire of length L 1 = 60.0 cm, cross-sectional area 1.00 x 10-2 cm2, and density 2600 kg/m3, 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 10.0 kg, is arranged so that the distance L 2from the joint to the supporting pulley is 86.6 cm. Transverse waves are set up on the wire by an external source of a variable frequency; a node is loacted at the pulley. [Hint: You may want to calculate the ratio of the number of loops in the steel compared to the aluminum. Then surmise which numbers will give you the desired lowest frequency.] What is the lowest frequency that generates a standing wave pattern that has the joint as one of the nodes? How many nodes are in the compound wire at this frequency?

Explanation / Answer

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