Question

Problem 1 Equilibrium of a Body in 2D (50pts) The ramp of a ship has a weight of 500 lb and a center of gravity G. An operator weighing 180 Ib is standing at point E, 4.5 ft from A, as shown. Determine the tension on the cable CD needed to just start lifting the ramp, i.e when the reaction at B becomes zero. Also, determine the horizontal and vertical components of force at the hinge at A. Show Free body diagrams and all calculations for full credit. 35 180 lb E 45 ft 9 ft 30° 5 ft

Answer 1

Given The ramp of a ship has a weight of 500 lb and a center of gravity G. + uparrow sigma MA = 0 -T cos (35) (12 cos (30)) + T sin (35) (12 sin (30)) + 500 (9 cos (30)) + 180 (4.5 cos (30)) = 0 T = 906.7669 lb + uparrow E y = 0 T cos (35) - W - 180 - A y = 0 A y = 62.7799 lb + sigma F x = 0 T sin (35) - A x = 0 A x = 520 lb