(Solved): Prob. 2 (20 Points): Use the Principle of Virtual Displacements to derive the equation of motion o ...

Prob. 2 (20 Points): Use the Principle of Virtual Displacements to derive the equation of motion of the system shown below. Must include gravity effects and assume small-angle rotation of the rigid pendulum. Assume the applied distributed force remains perpendicular to the bar. Considering motion in the vertical plane only. a) Identify independent degree of freedom and sketch free-body (force) diagram b) Define virtual displacement(s) c) Define all forces d) Derive expressions for virtual work due to each force. e) Apply the Principle of Virtual Displacements to derive the equation of motion. f) Determine natural frequency of the system g) Identify each term in the differential equation of motion.