The traffic light shown below is supported by a system of cables. Points A and B are in a vertical plane which is parallel to the x-z plane. Point C is in the y-z plane. B The traffic light has a mass of 75 kg The distances are: a = 4m, b=6m, c-9m, h=6m Find the tensions (in Newtons) in cables OA, OB and OC.

Q.4) The L-frame in figure below supports forces from two cables. Cable "EAD" passes through a frictionless ring at point "A", and cable "OCG" passes through a frictionless ring at point "C". The force in cable "EAD" is 900 lb and the force in cable "OCG" is 500 lb. For the cable forces applied at points "A" and ", using the vector approach determine: a) the moment about point "B", b) the moment about point “A", and c) the moment about point "O". 9 ft C В 6 ft A D 6 ft -8 ft E 8 ft G 12 ft

A hydrogen balloon rises vertically with an upward force of 500 N and is attached to a point A at an elevation of 1m directly above the origin (0,0,0), which is in turn attached to 3 light ropes on the ground level at D (–3,0,0), B (2,0,2) and C (2,0, –2) in meters. Note the chosen x-y-z coordinate frame. (a) Draw a free body diagram FBD of the balloon with the 3 ropes AB, AC, and AD. (b) Draw a free body diagram FBD of the composite body of ropes AB and AC and the connector A (excluding the balloon and rope AD). (c) Write down the relevant equilibrium equations, and solve for tension of each rope, TAB, TAC, and TAD.

There are two parallel forces and two pure moments in the figure. What distance "d" must separate the forces in order for the system to be in equilibrium? F = 9 N, M1 = 15 N-m, M2 = 69 N-m,  = 60 degrees, a = 1 m, b = 1 m, c = 2 m

The forces acting on the arm of an athlete doing shoulder exercises are shown in the figure. The athlete holds his arm at an angle of β = 30° with the horizontal axis . Point O represents the axis of rotation in the shoulder joint, point A represents the connection point of the deltoid muscle to the humerus, point B represents the center of gravity of the arm, and point C represents the application point of the force acting on the hand. The distances between the rotation axis (O point) of the shoulder joint and the points A, B and C are a=22 cm , b =33 cm and c= 60 cm , respectively .  A force of F= 120 N,  which makes an angle of γ=30° with the vertical from the point C, acts on the athlete's hand  .   Weight of the athlete's armW= 80 N. The direction of application of the Fm muscle force makes an angle of α=20° with the longitudinal axis of the arm. According to this; a) Calculate the muscle strength  F M b) Calculate  the angle θ of the joint reaction force F J with the horizontal.…

Question 2: The ideal spring of constant k-2.6 kN/m is attached to the disk at point A and the end fitting at point B, as shown. The spring is unstretched when OA and Oв are both zero. If the disk is rotated 15° clockwise and the end fitting is rotated 30°counterclockwise, determine the vector expression for the spring force F. Determine distance C so that the moment the spring force makes about the Z axis is equal to 10.82 N.m. - A = 15°1 A 250 mm lllllll 900 mm k = 2.6 kN/m OB = 30° B G 200 mm

A wracking ball is suspended below two cables each at an angle with the horizontal. The left cable has tension T1 and angle 37 degrees with the horizontal. The right cable has tension T2 and angle 22 degrees with the horizontal. The Wracking ball has mass 180 kg. Find the magnitude of tension T2.

Find cable AO or BO or OC force vector.

Please do question in the image. Also it has to be in vector form since it’s in 3D. Pls show correct working out and final answers.

and For problem above, Replace the loading on the system below by a single resultant force. Find the points on the x- and y – axes through which the resultant force must pass.