Duration: 5:08

3 views

0

A rope hangs from a rigid support. A pulse is set by jiggling the bottom end. We want to design a rope
\( \mathrm{P} \) in which velocity \( v \) of pulse is independent of \( z \), the distance of the pulse from fixed end of the rope. If
W the rope is very long the desired function for mass per unit length \( \mu(z) \) in terms of \( \mu_{0} \) (mass per unit length of the rope at the top \( (z=0) \) is given by
(1) \( \mu(z)=\mu_{0} e^{-\frac{g z}{v^{2}}} \)
(2) \( \mu(z)=\mu_{0} e^{+\frac{g z}{v^{2}}} \)
(3) \( \mu(z)=\mu_{0} \log e\left(\frac{g}{v^{2}}\right) \)
(4) \( \mu(z)=\mu_{0} e^{+\left(\frac{v^{2}}{g z}\right)} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live