P17_037.PDF

is given by v = τ/µ = τL/M ,where τ is the tension in the wire, µ is the linear mass density of the

wire, and M is the mass of the wire. µ = M/L was used to obtain the last form. Thus

f =

2 L

M = n

LM = n

250N

(10 . 0m)(0 . 100 kg) = n (7 . 91 Hz) .

For n =1, f =7 . 91 Hz; for n =2, f =15 . 8 Hz; and for n =3, f =23 . 7Hz.

37. Possible wavelengths are given by λ =2 L/n ,where L is the length of the wire and n is an integer. The

corresponding fre quen cies are giv en by f = v/λ = nv/ 2 L ,where v is the wave speed. The wave speed

τL