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 $