A 350-lb load is supported by the rope-and-pulley arrangement shown.Knowing that α = 35°, determine (a) the angle β, (b) the magnitude ofthe force P which should be exerted on the free end of the rope tomaintain equilibrium. (Hint: The tension in the rope is the same on eachside of a simple pulley. This can be proved by the methods of Chapter 4.)

Knowing that α = 50°, determine the resultant of the three forcesshown.

Two cables tied together at C are loaded as shown. Knowing that themaximum allowable tension is 300 lb in cable AC and 150 lb in cable BC,determine (a) the magnitude of the largest force P which may be appliedat C, (b) the corresponding value of α.

A rectangular plate is supported by three cables as shown. Knowing thatthe tension in cable AB is 204 lb, determine the components of the forceexerted on the plate at B.

Knowing that the tension is 850 N in cable AB and 1020 N in cable AC,determine the magnitude and direction of the resultant of the forcesexerted at A by the two cables.

Three cables are used to tether a balloon as shown. Determine the verticalforce P exerted by the balloon at A knowing that the tension in cable ABis 60 lb.

The crate shown in Figure P2.105 and P2.108 is supported by threecables. Determine the weight of the crate knowing that the tension incable AB is 3 kN.

A welded connection is in equilibrium under the action of the four forcesshown. Knowing that FA = 8 kN and FB = 16 kN, determine themagnitudes of the other two forces.

A 750-kg crate is supported by three cables as shown. Determine thetension in each cable.

A container of weight W is suspended from ring A, to which cables ACand AE are attached. A force P is applied to the end F of a third cablewhich passes over a pulley at B and through ring A and which is attachedto a support at D. Knowing that W = 1000 N, determine the magnitudeof P. (Hint: The tension is the same in all portions of cable FBAD.)

PROBLEMA 1.15 La puerta batiente se mantiene en la posición mostrada en la figura, por medio de dos cables AB y AC y, además, por las bisagras mostradas. Si las tensiones en los cables son T 1 = 30 lb y T 2 = 90lb. Determinar:

a) La magnitud de la fuerza resultante

b) El momento de la fuerza tensional respecto al punto C de T1

PROBLEMA 1.32 En la figura 1.65 se muestra una platea de cimentación, donde actúan las cuatro columnas, sabiendo que la fuerza resultante actúa en el punto (3; 3,5) m del plano XY. Determinar los módulos de las fuerzas P y Q

PROBLEMA 1.37 Para la platea de cimentación mostrada en la figura, determine la resultante del sistema de fuerzas, así como su ubicación y sentido, si todas las cargas distribuidas son lineales.

An 8-ft-long boom is held by a ball-and-socket joint at C and by two cables AD and BE. Determine the tension in each cable and the reaction at C.

Two steel pipes ABCD and EBF are welded together at B to form the boom shown. The boom is held by a ball-and-socket joint at D and by two cables EG and ICFH; cable ICFH passes around frictionless pulleys at C and F. For the loading shown, determine the tension in each cable and the reaction at D.

A 3-m boom is acted upon by the 4-kN force shown. Determine the tension in each cable and the reaction at the ball-and-socket joint at A.