17-50. If the cart's mass is 30 kg, determine the horizontal force P that should be applied to the cart so that the cord AB just becomes slack. The uniform rod BC has a mass of 15 kg. 30 1m B. 30

5-78. The hatch door has a weight of 80 lb and center of gravity at G. If the force F applied to the handle at C has coordinate direction angles of a = 60°, ß = 45°, and y = 60°, determine the magnitude of F needed to hold the door slightly open as shown. If the hinge at A becomes loose from its attachment and is ineffective, what are the x, y, z components of reaction at hinge B? 2 4 ft 3 ft. 2 ft 3 ft C B X F Probs. 5-77/78

5-67. Due to an unequal distribution of fuel in the wing tanks, the centers of gravity for the airplane fuselage A and wings B and C are located as shown. If these components have weights WA = 45 000 lb, WR = 8000 lb, and We = 6000 lb, determine the normal reactions of the wheels D, E, and Fon the ground. 8 ft F 6 ft 8 ft 6 ft 4 ft 20 ft 3 ft

The mobile crane is symmetrically supported by two outriggers at A and two at B to relieve the suspension of the truck upon which it rests and to provide greater stability. If the truck, crane, and counter-weight have a total mass of 18-tonnes and center of mass at G1, while the boom has a mass of 1.8-tonnes and a center of mass at G2, determine the critical angle where tipping starts to occur when the boom is supporting a load having a mass of 3-tonnes. Plot the total reactions at A and B (in kN) as functions of θ from θ=0° to the critical angle.

*5-16. Determine the tension in the cable and the horizontal and vertical components of reaction of the pin A. The pulley at D is frictionless and the cylinder weighs 80 lb. A 5 ft- D B 2 5 ft 3 ft Prob. 5-16 C

5-67. Due to an unequal distribution of fuel in the wing tanks, the centers of gravity for the airplane fuselage A and wings B and C are located as shown. If these components have weights WA 45 000 lb, Wg = 8000 lb, and Wc = 6000 lb, determine the normal reactions of the wheels D, E, and F on the ground. B. 8 ft 20 ft 3 ft 6ft

A cable is attached to the structure at E, passes around the 0.1-m diameter, frictionless pulley at A, and then is attached to a 1000-N weight W. Determine the magnitudes of the horizontal and vertical components of force pin at F. Assume the wall at G is smooth. MUST DRAW ALL THE FREE-BODY DIAGRAMS. W 1 m. B m Im

R5-5. Determine the x, y, z components of reaction at the fixed wall A. The 150-N force is parallel to the z axis and the 200-N force is parallel to the y axis. x Z 2 m 150 N 1 m 2 m 2.5 m -200 N

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