determine the force in the spring shown in figure P5-48 if the cable tension at G is 50kn 5 m G 8 m A tam 12 m FIGURE P5-48 wn in Figure P5-48 if the cable tension at G is 50 kN.
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- The bent rod of negligible weight is supported by the ball-and-socket joint at B and the cables attached to points A and C. Find the forces in the cables and the magnitude of the reaction at B. Dimensions Figure P.5.39A cargo ship is tied down to marine boll arts at a number of points along its length while its cargo is unloaded by a container handling crane. Each bollard is fastened to the wharf using anchor bolts. Three cables having known tension force magnitudes F, = ll0 kN.F, = 85kN.and F, 9OkNare secured to one bollard at a point A with coordinates (0.0.45 m. 0) in the x-r-: coordinate system shown in the figure part b. Each cable force is directed at an attachment point on the ship. Force F, is directed from point A to a point on the ship having coordinates (3 m, 9 m. 0) force F, is directed at a point with coordinates (6.5 m. 8.5 m. 2 m) and force F, is directed at a point with coordinates (8 m. 9 m. S m). The diameter of each anchor bolts is 4 24 mm. (a) Find the reaction forces and reaction moments at the base of the bollard. (b) Calculate the average shear stress in the anchor bolts (in the x-: plane). Assume each bolt cart ics an equal share of the total force.The inclined beam represents a ladder with the Following applied loads: the weight (W) of the house painter and the distributed weight (u) of the ladder itself. Find support reactions at A and B: then plot axial force (N), shear (V), and moment (M) diagrams. Label all critical N, V, and M values and also the distance to points where any critical ordmates are zero. Plot N, V, and M diagrams normal to the inclined ladder. Repeat part (a) for the case of the ladder suspended from a pin at B and traveling on a roller support perpendicular to the floor at A.
- Find support reactions at 4 and Band then use the method of joints to find all member forces. Let b = 3 m and P = 80 kN.The curved gate in Figure 3 is a 90º arc and is pivoted at O. It has a uniformly distributed mass of mL = 25 kg/m. Obtain a) the magnitude of the force per unit length FL to keep the gate closed and b) the components of the reaction at the hinge at point O for the case that the gate is L = 8.0 m longConsider Figure 5.28. The driver attempts to get thecar out of the mud by exerting a perpendicular force of610.0 N, and the distance she pushes in the middle of therope is 1.00 m while she stands 6.00 m away from the caron the left and 6.00 m away from the tree on the right.What is the tension T in the rope, and how do you find theanswer?
- 3-5.4. Determine the value of T if the force system shown in Fig. P-3-5.4 is in equilibrium. Suggestion: Use a moment summation.This is all the information that's given: A link arm (see figure below) has the mass m and center of gravity / center of mass at point G. The arm is freely articulated at point O. At points A, B and C, respectively, there are attachments for a spring and a rope that runs over a stationary pulley at point D (neglect the dimensions of the pulley). The spring is 2.0 m long in the untensioned position and gives a force F = k s on the arm, where s is the extension / compression of the spring. If the arm is in equilibrium, the sum of all moments of force on the arm must be zero, ie. Sum(Mi) = Sum(ri) × Fi = 0 Data: m = 150 kg, k = 2.0 kNm^−1, OG = 1.4m, OB = 2.8m, OC = 4.2m, D = (6.5, 2.0) m, g = 9.8ms^−2 a) Identify all the forces that give a moment (with regards to 0) and express both the forces and position vectors for the forces' points of attack in component form. Help: Write all vectorial quantities as an amount multiplied by a unit vector b) Set up and solve (moment) the equilibrium…The figure shows the Russel fracture traction device and a mechanical model of the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The total weight of the leg and the cast is W=250 N. The distance between the points A and B where the cables are attached to the leg is given as L=100 cm and the angle of the leg with the horizontal is γ=6°. Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A (3L/4= 75 cm). The angle that cable 2 makes with the horizontal is measured as β=40°. Accordingly, in order for the leg to remain in balance in the shown position; a) Find the tensile force T1 in cable 1. (Write your result in N) Answerb) Find the tensile force T2 in cable 2. (Write your result in N) Answerc) Find the angle α of cable 1 with the horizontal. Response
- Three masses are attached to a uniform meter stick, as shown in figure. The mass of the meter stick is 150.0 g and the masses to the left of the fulcrum are m1 = 50 kg, m2 = 75 kg, and m3 that balances the system when it is attached at the right end of the sticky, and the normal reaction force at the fulcrum when the system is balanced. Also, find the mass m3.3-In the scheme below, 4 objects are hanging from each of the rings and 5 ropes (blue) keep the entire scheme in balance. The known values are m1=30 kgm1=30 kgα=60ºα=60ºβ=30ºβ=30ºγ=70º a) Attach the force diagram on each of the rings with the graphical decomposition of the forces that are not exclusively on the Cartesian axes. b) Determine the tractions T1, T2, T3, T4 and T5. c) Determine the mass of weights 2, 3, 4 and 5. Tip: If you feel comfortable, use software to solve the systems of equations.the bent bar AB weighing 10lb/ft is mounted as shown in figure 2 upon a carriage weighing 250 lb. The center of gravity of the carriage is at C midway between the wheels. If P=108lb and there is no frictional resistance at the wheels, find the wheel reaction R1. find the vertical component of the hinge force at A. find the horizontal concept of the hinge force at A.