Question 2 (10 marks) For the system shown below, the linkage AB has a mass of m. The radius of gyration of the linkage about O is b. AO = 1, BO = 21. Assume the cart of mass m has small oscillations. a) Draw a free body diagram with respect to m b) Draw a free body diagram with respect to 3m c) Draw a free body diagram with respect to linkage AB d) Derive the equation of motion for the system in terms of the variable x e) Determine the natural frequency of the system on a x'- B