The 4-kg slender bar is 2 m in length. Aerodynamic drag on the bar and friction at the sup...

The 4-kg slender bar is 2 m in length. Aerodynamic drag on the bar and friction at the support exert a resisting moment about the pin support of magnitude 1 4(dθ/dt) N-m. where dθ/dt is the angular velocity in rad/s.

(a) What are the period and frequency of small vibrations of the bar?

---

(b) How long does it take for the amplitude of vibration to decrease to one-half of its initial value?