The uniform slender bar of mass m is initially in static equilibrium in the position shown.
The uniform slender bar of mass m is initially in static equilibrium in the position shown. The bar is then rotated slightly and released. (a) Derive the differential equation of motion in terms of the angular displacement θ of the bar. (b) If m = 6 kg and k = 3 kN/m, determine the damping coefficient c that will critically damp the vibration