
A string of mass is fixed at both ends. The fundamental tone oscillations are excited with circular frequency and maximum displacement amplitude . Find:
(a) the maximum kinetic energy of the string;
(b) the mean kinetic energy of the string averaged over one oscillation period.

Important Questions on OSCILLATIONS AND WAVES


A stationary observer receives sonic oscillations from two tuning forks, one of which approaches, and the other recedes with the same velocity. As this takes place, the observer hears the beatings with frequency . Find the velocity of each tuning fork if their oscillation frequency is and the velocity of sound in air is .



A source of sound with natural frequency moves uniformly along a straight line, separated from a stationary observer by a distance . The velocity of the source is equal to fraction of the velocity of sound. Find:
(a) the frequency of sound received by the observer at the moment when the source gets closest to him;
(b) the distance between the source and the observer at the moment when the observer receives a frequency .


