Question

Chapter 16, Problem 059 GO In the figure, an aluminum wire, of length L 55.3 cm, cross-sectional area 1.81 x 10 cm2, and density 2.60 g/cm, is joined to a steel wire, of density 7.80 g/cm and the same cross-sectional area. The compound wire, loaded with a block of mass m 15 kg, is amranged so that the distance L2 from the joint to the supporting pulley is 39.9 cm. Transverse waves are set up in the wire by using 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, including the end nodes? Aluminum Steel (a) Number Units (b) Number Units Click if you would like to Show Work for thie auaatt dy

Answer 1

in ni loops 4= nix al mire - hvi f-mu or steel wire, 211 212 f = 12 V2 11 - VILL var ta force, pe=m = SAL = Sale = SIA v2 = 5 M2/n, = ₂ 32 = 0.399 0,553 v 72 = 1.25 mallest integers are m= f = 7. ® 2. ng 24 nL mg = 115X9.8 10. V 2.6 XIOJ X 1.81 X 106 fe 1967.Betz 885. letzed 639.2H2 (6) nodes = 4+5+1 - Tio