Question

Two string tied together have different linear mass densities and hence different velocities. Reflection and transission coefficient in terms of amplitude:

a) supposed string 1 is a thick string and string 2 is thin. in which string is the speed larger?

b) What are R and T in the limit of v1 << v2?

c) What are R and T in the limit of v1 >> v2?

d) the power carried by a wave in a strong was found to be

u0 is maximum transverse particle speed, T and mu are the tension and the linear density for the string, and v is the speed of the wave. u0 = wA, A being amplitude

Tpower = Power transmitted / power incident

e) what is Rpower + Tpower?

Answer 1

a) Speed in string 2 will be larger.

b) R = 1 , T = 2

c) R = -1 , T = 0

d)

e) Rpower + Tpower = ( ( 3*v2 - v1 ) * - ( v2 + v1 ) ) / ( v2 + v1 )^2