Calculate the reaction forces at the origin assuming a fixed attachment point at (x, y, z) = (0, 0, 0).
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- The pipe is pulled by three cables as shown on the figure below. All three cables are subjected to known forces. Another cable is planned to be added on the system. This additional cable is designed to pull the pipe along the positive y-axis. The proposed cable, Fy is twice as much as the only force which tends to pull the pipe below the x-axis. (Fa= 7.5kN; Fb= 1.25kN; Fc=5kN) Find the summation of forces in x axis and y axis.Perform the operation g(t)=2t+5f(t)= 2t+5find: (g+f)(t)3 points are plotted in the x, y, & z-plane as follows: A(-1,0,3); B(4, 2, 0); C(0,-1,-1). Establish a position vector from point B to point A. Please include a free-body diagram if possible. Choices are as follows: a) 0.81i + 0.32j - 0.49kb) 0.78i + 0.59j - 0.20kc) 0.24i - 0.24j - 0.94kd) 0.81i + 0.32j + 0.49ke) 0.81i - 0.32j + 0.49kf) 0.24i + 0.24j + 0.94kg) 0.78i - 0.59j - 0.20kh) 0.81i - 0.32j - 0.49ki) 0.78i + 0.59j + 0.20kj) 0.78i - 0.59j + 0.20kk) 0.24i - 0.24j + 0.94kl) 0.24i + 0.24j - 0.94k
- In the graph the force versus displacement of a spring is given (the spring is shown in a separate figure--see below). The x-axis range is ±2 cm. The y-axis range is tFs, where Fs = 220 N. How much work does the spring do on the block (the mass "m") when the block moves from x₁ = 7.6 cm to 4.3 cm? W J y F. X -1.5 -0.5 0 10.5 1 1.5 -F How much work does the spring do on the block (the mass "m") when the block moves from x; = 7.6 cm to -7.6 cm? W = Question Help: Read Submit Question mEFx=0= (0.433 F1) - (0.667 F2) - (0.866 F3) + (0.342 P) EFy=0= - (0.250 F1) + (0.667 F2) EFz=0= (0.866 F1) + (0.333 F2) + (0.500 F3) - (0.940 P) Find the magnitude of F1, F2, and F3An L-shaped bracket is supported by a frictionless pin at A and a cable between points B and D. If pin A is the origin, point C is at (-7, 0); and pin B is at (-7, -10). The cable is attached between point B and an anchor at point D, at (-2, -14). Units are in feet. Force F acts at point C at an angle of 60o from the positive x-axis. Determine the magnitude of the moment that the force F produces about point A. Determine the tension required to hold the bracket in position.
- 8:30 Test 3.pdf F1 F2 a CF3 A b a F4 D Consider the following values: - F5 a = 12 m; b = 10 m; c = 10 m; d = 8 m; F1 = 6 kN; F2 = 7 kN; F3 = 8 kN; F4 = 9 kN; F5 = 10 kN; a = 30°, 0= 45° , B = 60° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 111.6 kN.m b) 112.6 kN.m e) - 184.6 kN.m d) - 109.6 kN.m e) - 104.1 kN.m 0 None of them 21 What is the resultant moment of the five forces acting on the rod about point B? a) -95.8 KN.m b) 42.7 kN.m c) 80.9 kN.m d) 10.9 kN.m e) 51.8 kN.m ) None of them 31 What is the resultant moment of the five forces acting on the rod about point C? b) - 21.1 kN.m e) 17.4 kN.m d) - 16.5 kN.m e) 15.6 kN.m ) None of them a) 32.6 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 37.6 kN.m b) 73.8 kN.m c) 71.6 kN.m d) 52.1 kN.m e) 21.1 kN.m ) None of them 5] What is the moment of the force F2 about point E? a) 90.7 kN.m b) - 88.1 kN.m c) 54.6 kN.m d) 103.1 kN.m e) 100.7 kN.m ) None…DI 4.5-4. Consider the following problem. Мaximize Z = 5x1 + x2 + 3x3 + 4x4, subject to x1 - 2x2 + 4x3 + 3x4 < 20 -4x1 + 6x2 + 5x3 – 4x4 < 40 2x1 - 3x2 + 3x3 + 8x4 < 50 and X1 2 0, X2 2 0, X3 2 0, X4 2 0. Work through the simplex method step by step to demonstrate that Z is unbounded.Find the reaction forces for the following problems
- An eye bolt is used to attach 3 cables to a steel plate. The tension in the three cables create F1=200 lbf, F2=250 lbf, and F3=100 lbf with 0 = 30 degrees and p=24.1 degrees. If the eye bolt is in equilibrium, what is the x-component of the sum of other forces on the bolt (force from the nut and plate on the bolt) ? If you add up the three force vectors, the sum other force you are looking for will just be in the opposite direction to put the eye bolt in equilibrium. The x-direction is positive to the right. For example, if you find the sum of forces 1, 2, and 3 are 100 Ibf to the right, then the other forces in the x-direction must be pointing to the left (-100 lbf) to put the eye bolt in equilibrium. Eye bolt 2steel 3 plate Nut t WonsherConsider the system shown below. Answer Questions 6-11 based on this figure. How many degrees-of-freedom does the system shown below has? The two pulleys have the identical mass, radius, and the moment of inertia. т, 1, R k т, 1, R Variables x: vertical position of the moving pulley 8: rotation of the moving pulley p: rotation of the fixed pulley m: pulley mass R: pulley radius I: mass moment of the pulley about its own center of mass. k: spring stiffness T: cable tension Assumptions 1. x = 0, 0 = 0, and o = 0 when the spring is undeformed. 2. The cables and springs have negligible mass. 3. There is no slip between the pulley and the cable. 4. Only two-dimensional planar motion is allowed.Q/ For the mechanism shown below, compute the magnitude of the force (F) required to break contact at point (c)? C 3 m s = 10 mm K = 1800 N/m www.O 3 m 4 m 4 m + F