All Problems

Molecules and Crystals

Problem 6.182

Find the number of natural transverse vibrations of a string of length ll in the frequency interval from ω\omega to ω+dω\omega+d \omega if the propagation velocity of vibrations is equal to vv. All vibrations are supposed to occur in one plane.

Reveal Answer
dNω=(l/πv)dω.d N_{\omega}=(l / \pi v) d \omega .