Draw figures to explain your calculations. Write down the relevant formulas. (a)

Question

Draw figures to explain your calculations. Write down the relevant formulas. (a) String 1 has length L_1 and string 2 has length L_2. A student sends pulses in both directions pulling up on the knot, then releasing it. Find the ratio of the string masses m_1/m_2 if the reach the ends of the strings simultaneously. (b) If L_1 is twice as long. i.e., L_1 = 2L_2, how much heavier (or lighter) is m_1 compared to m_2. The two strings in the figure are of equal length and are being driven at equal frequencies. I of the left string equals mu_1, what is the linear density of the right string?

Explanation / Answer

2)

the relation between speed of wave in the string and frequency is

v = lamda f

sqrt T/u = lamda f

u = T/ ( lamda f)^2

uR/uL = ( Ts)R / ( lamd R fR)^2/ ( Ts)L / ( lamda L fL)^2

from the given data

( Ts)L= ( Ts)R= Ts

fL = fR = f

LL = LR = L

from the diagram lamda_L = L

lamda R = L/2

uR/ us = Ts/ ( Lf/2)^2/ Ts/ ( Lf)^2

= 4

uR = 4 * uL

As per guide lines I worked one problem kindly post remaining quesion in the next post

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