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 α = 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? 4 ft 3 ft. z A 2 ft. 3 ft C G B F Probs. 5-77/78

Four forces are exerted on the eyebolt as shown. If the net effect on the bolt is a direct pull of 560 lb in the y-direction, determine the necessary values of T and 8. = Assume F₁ = 380 lb, F2 = 205 lb, F3 = 420 lb, p = 29º. T F₁ Answers: T= i 0 = i S lb O

3-59. Determine the force in cables AB, AC, CD, CE, an CF needed to support the 500-lb crate. Hint: First analyz the equilibrium of point A, then using the result for AC analyze the equilibrium of point C. 24 ft 24 ft D-10 ft- 7 ft E 7 ft 35° x 120⁰

*6-76. Determine the horizontal and vertical components of force which the pins at A, B, and C exert on member ABC of the frame. 400 N -1.5 m- -2 m- 1.5 m 2.5 m – 300 N -B 2 m – 300 N 2.5 m 1.5 m E

* Incorrect Four forces are exerted on the eyebolt as shown. If the net effect on the bolt is a direct pull of 685 lb in the y-direction, determine the necessary values of T and 0. Assume F₁ - 355 lb, F₂= 255 F₁ Answers: T= 0- i 35.31 i 983.11 lb, F3-400 lb, = 34° DI lb O T F₁

4-6 Two foros are applied to a bracket as shiwn in Tig. P4-6. Deternine a. The mament of force F, about point A. b. The monent uf turce Fy about pnint R. 140 -2IKmm

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The ramp of a ship has a weight of 250 lb and a center of gravity at G. Determine the cable force in CD needed to just start lifting the ramp, (i.e., so the reaction at B becomes zero). Also, determine the horizontal and vertical components of force at the hinge (pin) at A.

5-28. The hatch door has a weight of 80 lb and cente gravity at G. If the force F applied to the handle at C coordinate direction angles of a = 60°, B = 45°, y = 60°, determine the magnitude of F needed to hold door slightly open as shown. The hinges are in pr alignment and exert only force reactions on the d Determine the components of these reactions if A ex only x and z components of force and B exerts x, y, z f components. z 4 ft ---3-72 3 ft C Prob. 5-28 B X F

please make it clear and box the answer