Wave Mechanics Question 583

Question: The average value of potential energy for one complete oscillation cycle of a body of mass m executing S.H.M. having angular frequency $ \omega $ and maximum amplitude a is given by:

Options:

A) $ \frac{1}{2}m{{\omega }^{2}}a^{2} $

B) $ \frac{1}{4}m{{\omega }^{2}}a^{2} $

C) $ \frac{1}{8}m{{\omega }^{2}}a^{2} $

D) $ \frac{1}{16}m{{\omega }^{2}}a^{2} $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ U _{average}=\frac{1}{T}\int _{0}^{T}{Udt} $

$ \Delta y $