5-49. Determine force P on the cable if the spring is compressed 25 mm when the mechanism is in the position shown. The spring has a stiffness of k -6 kN/m. 150 mm 200 mm 200 mm 800 mm 200 mm

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

*5-16. 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

3-33. If the spring on rope OB has been stretched 2 in. and fixed in place as shown, determine the tension developed in each of the other three ropes in order to hold the 225-lb weight in equilibrium. Rope OD lies in the x-y plane. Z 2 fu A X (-2ft, -3ft, 3ft) 3 ft 4 ft B k = 20 lb/in. 2-4 ft- 30° D 4 ft T 4 ft

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

The homogeneous box has mass m. The magnitude of force Pis slowly increased until motion occurs. Motion could occur as slipping or tipping and you must decide which occurs first. Find the value of P which first causes motion. P А 30° d = 0.40 B 2.2 d Answer: P = i mg

The uniform steel beam of mass m = 19.6 kg and length I= 780 mm is suspended by the two cables at A and B. If the cable at B suddenly breaks, determine the tension Tin the cable at A immediately after the break occurs. Treat the beam as a slender rod. Assume e = 56°. Answer: T = N

B5