A vibrator, pulley, and hanging object are arranged as in Figure P18.21, with a compound string, consisting

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A vibrator, pulley, and hanging object are arranged as in Figure P18.21, with a compound string, consisting of two strings of different masses and lengths fastened together end-to-end. The first string, which has a mass of 1.56 g and a length of 65.8 cm, runs from the vibrator to the junction of the two strings. The second string runs from the junction over the pulley to the suspended 6.93-kg object. The mass and length of the string from the junction to the pulley are, respectively, 6.75 g and 95.0 cm.
(a) Find the lowest frequency for which standing waves are observed in both strings, with a node at the junction. The standing wave patterns in the two strings may have different numbers of nodes.
(b) What is the total number of nodes observed along the compound string at this frequency, excluding the nodes at the vibrator and the pulley?

A vibrator, pulley, and hanging object
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