Three hydraulic cylinders control the motion of the backhoe arm and bucket in the following figure. In the position shown, a 14.0 kN horizontal force is applied to the bucket at point L. The bucket GEL has mass 100 kg at ml, arm EHDC 210 kg at m2, and arm DBKA 240 kg at m3. The vehicle has mass 600 kg and the center of mass at m4. Assume the weights of three cylinders (BC, GH, and JK) are negligible and all joints are pin joints. a) Draw the free-bodDetermine the forces on every joint (from A to K). b) After you calculated all forces, draw complete free-body diagrams of EACH piece in their relative positions with force directions and magnitudes. Bonus: c) Determine the center of gravity of the backhoe from front wheels. d) Determine the support forces on front and rear wheels (total four wheels). Are there any friction forces on the wheels? If no, what will happen? 140 kN 712m B AK 13 m 0.5 m 1.0 m 0.5 m 0.9 m 1.8 m ++ C 10.7 m 1.2 m 0.8 m 1.0 m IB 0.2 m D 0.3 m m3 m2 0.6 m 1.3 m 0.2 m m = 1.0 m 0.25 m 0.9 m m4 0.4 m 0.5 m 0.5 m m1 L 0.9 m N -3 m L. FA