The forces F1 and F2 in the figure are parallel to the x-axis, while the force F3 is perpendicular to the line AC, all of them applied to the triangular plate AEC shown. Given those conditions, replace that three-force system by an equivalent system at point E (Point E is considered the origin).
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- For the ladder in Prob. 6.17, find the internal force system acting on section 2, assuming that x < a/2.Find the internal force systems acting on sections 1 and 2.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.5.39
- Find the internal force system acting on section 3 for the pin-connected frame.The system shown consists of 3 cables. For example; cable C12 joins points 1 and 2. The coordinates of point 1 are ( 2.44, 0, 0 ) m, those of point 2 are ( 0, 2.09, -4.34 ) m, and those of point 3 are ( 0, 2.09 , 4.34 ) meter. The force P = 37 kN. Determine the force in cable C14.In the simple cage system in the figure, which of the following is the absolute value of the force carried by the CE element in kN?
- Two weights are connectedby a very light, flexible cord that passesover an 80.0 N frictionless pulley of radius0.300 m. The pulley is a solid uniformdisk and is supported by a hookconnected to the ceiling (Fig.).What force does the ceiling exert on thehook?A uniform drawbridge must be held at a 38.5 ∘ angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45000 N, is 13.0 m long, and pivots about a hinge at its lower end. A cable is connected 3.80 m from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place. a) What is the tension in the cable? b) Find the magnitude of the force the hinge exerts on the bridge. Find the direction of the force the hinge exerts on the bridge. c) If the cable suddenly breaks, what is the initial angular acceleration of the bridge?Two ladders, 4.00 m and 3.00 m long, are hinged at point A and tied together by a horizontal rope 0.90 m above the floor (Fig. ). The ladders weigh 480 N and 360 N, respectively, and the center of gravity of each is at its center. Assume that the floor is freshly waxed and frictionless. (a) Find the upward force at the bottom of each ladder. (b) Find the tension in the rope. (c) Find the magnitude of the force one ladder exerts on the other at point A. (d) If an 800 N painter stands at point A, find the tension in the horizontal rope.
- Given problem: The given force system is to be replaced with an equivalent system consisting of a horizontal force applied at the point B and a vertical force applied to the horizontal leg as shown in the figure. a) Determine the magnitude of the vertical force ‘P2’ applied to the horizontal leg in N.b) Determine the value of distance ‘x’ in m.c) Determine the magnitude of the horizontal force ‘P1’ applied at point ‘B’ in N.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.SITUATION 7: Three forces P1, P2, and P3 are acting on a semi-circular structure as shown in Fig. THA-33. Support at A is hinge and support at B is roller. Given: a = 1 m; P1 = 1.8 kN; P2 = 0.9 kN; P3 = 0.45 kN; θ = 30⁰; β = 45⁰. Calculate the resultant of the three forces (in kN). (Answer: 2.45) Calculate the vertical reaction at B (kN). (Answer: 1.06) Calculate the reaction at A. (Answer: 1.63)