The concept related to solving the problem is called Standing Waves: This property relates to how, through a chain that is fixed at both ends, it has a fundamental frequency that relates the wavelength of a standing wave to the length of rope.
In other words, if we take a wave that travels in a direction on the rope from one direction, it will immediately tend to return but in the opposite direction. When having two waves traveling in the opposite direction, it is necessary to take into account that during the vibration two reflections are generated on each side. This concept sometimes called constructive interference results in a wave reflection of the type,
Where n is a positive integer,
λ is the wavelength
L is the length of the chain.
In this way it is possible to appreciate that <em>the length of the string is equal to half of a wavelength.</em>
Answer:
a)
b)
Explanation:
Part a
For this case we can begin finding the period like this:
Then we know that the centripetal acceleration is given by:
And the velocity is given by:
If we replace this into the acceleration we got:
And we can replace the values and we got:
Part b
For this case we want to find a value of k such that:
Where a = 9.74, so then we can solve for k like this: