Why Does the Second Harmonic Frequency Double in a Fixed Rope?

[test2morrow]

Homework Statement

If the fundamental frequency for a rope fixed at both ends is 30Hz, what is the frequency of the second harmonic?

Homework Equations

v=f*wavelength

The Attempt at a Solution

correct answer is 60Hz. Can somebody please explain? Thank you.

 

[rl.bhat]

In the fundamental mode of vibration, the rope contains one loop which is λ/2. In the second harmonic the number of loops are two. Then what is the new wavelength?