a) A string 1.75 cm long under tension is set in vibration so that five antidotes are produced. What is the wavelength of the vibration?

b) A cord of mass 200grams and length 2.5m is stretched between two supports 2.2 meters apart and given a tension of 678N.
I)How long will it take for a pulse to travel from one support to the other?

ii) What are the first three resonant frequency will the string produce if struck?

C) By what percentage should the tension on a stretched string on unknown length and mass be adjusted for the fundamental frequency to change by 10%?

a) A string 1.75 cm long under tension is set in vibration so that five antidotes are produced. What is the wavelength of the vibration?



I'll show you the first one. You try to figure out the others.

a) The graph, below, shows a string with five anti-nodes. The distance from left to right is the length of the string, 1.75 cm. Since there are six nodes, you should be able to figure out how much distance there is between two nodes. However, a wavelength goes through a full cycle -- i.e. up and down - so the distance between two adjacent nodes is just half the wavelength.

Yea---
The figure tells it quite good...