The uniform rod of mass m shown in Figure A3.3 is pin supported at point O. It is supported at A by a viscous damper with damping coefficient c and at B by a spring with stiffness k. The spring has been adjusted that the bar is horizontal at rest. We analyse the system for small oscillations about its equilibrium position. b A Figure A3.3 a) Sketch a free body diagram of the bar including all forces acting on the bar. b) What is the equation of motion of the system? c) What is the natural angular frequency of the system? d) What is the damping ratio of the system? e) What is the damped natural angular frequency of the system? f) What is the value c = Cort which results in a critically damped system? B