Hello i need help with this question i am not sure if my pro

Hello,

i need help with this question. i am not sure if my procedures are correct. Please SHOW ALL STEPS to receive full credit. Thank you so much for your help! I really appreciate it!

Problem 1 What is the required tension in a transmission line of length 15 m and linear density of 5 kg/m such that the transmission line\'s lowest natural frequency for transverse vibrations is 100 rad/s?

Solution

solution

Given data

mass = 5 X 15 = 75 kg

_n = 100 rad/s

now,

_n² = k / m

k = _n X (m)^1/2

  = 100 X (75)^1/2

= 866 N/m