A uniform rod of length

L

and mass

m

is pivoted at its center. It is attached to two unstretched springs of equal constants

k

. When the bar is rotated through a small angle and released,\ a) Show the system exhibits simple harmonic motion.\ b) Find the angular frequency of the oscillation.\

(I_(cm)

)

=

(

(1)/(12)ML^(2))

\

\\\\omega =\\\\sqrt((\\\\omega n)/(m))

1. A uniform rod of length L and mass m is pivoted at its center. It is attached to two unstretched springs of equal constants k. When the bar is rotated through a small angle and released, a) Show the system exhibits simple harmonic motion. b) Find the angular frequency of the oscillation. (Icm=1/12ML2) =m6k