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An aluminum wire of length .6 m, cross sectional area of .01 cm^2, density 2.60 g/cm^3, is tied to a steel wire of density 7.8 g/cm^3 and the same cross sectional area. The compound wire is joined to a pulley and then a block of mass 10 kg is tied at the end of the steel wire. Thisi is arranged so that the distance from the joint (where the 2 wires meet) to the pulley is .866m. Transverse waves are set up at a variable frequency with the pulley as a node. Find the frequency that generates a standing wave having the joint as one of the nodes.
aluminumxsteelpulley



10kg mass
So the length of the aluminum part is .6m and the steel part is .866m.
So do I find the total mass of the wire, then divide that by the length (1.466m) to find the density. And then I use v = sqrt(tension/density) and then f = n*v/2*L to find the frequency, where L is the length of the wire?
I don't see how both the .6m and the pulley can be a node? They aren't really multiples of one another, and so I'm wondering how I am to find n?
Thanks much!
aluminumxsteelpulley



10kg mass
So the length of the aluminum part is .6m and the steel part is .866m.
So do I find the total mass of the wire, then divide that by the length (1.466m) to find the density. And then I use v = sqrt(tension/density) and then f = n*v/2*L to find the frequency, where L is the length of the wire?
I don't see how both the .6m and the pulley can be a node? They aren't really multiples of one another, and so I'm wondering how I am to find n?
Thanks much!
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