consider a transverse Gaussian wave pulse in a strong given by: a) what is the t

Question

consider a transverse Gaussian wave pulse in a strong given by:

a) what is the transverse velocity of the string?

b) for what value of (kx - wt) is te pulse a maximum?

c) for the above answer, what is the transverse velocity?

d) for what value of (kx - wt) does the transverse velocity have a maximum value?

e) what is the value of the maximum transverse speed?

f) a very long string of linear mass density 6 g/m has a tension of 3.75 N

find

     i) Phase velocity of the wave

     ii) maximum transverse speed of a particle of the wave for freq of 400 rad/s and an amplitude of 3 cm.

     iii) suppose we change the angular frequency to. Which of the following will change?

           phase velocity, maximum transverse speed

     iv) Instead suppose we change the value of . Which of the following will change?

          phase velocity, max transverse speed.

thanks!

Explanation / Answer

a) transverse velocity = w/k

b) for kx-wt =0 , the pulse is maximum

c) same

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