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- A 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 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.Q1: In the below drawings, three unbalanced masses and related details are provided. Please answer the following questions. a) a balancing mass is to be located at rp = 50 mm, then what would be the balancing m1 m1 650 mm 200 mm m2 mass (m,) and its angular position (Op) (Please use the r2 m2 A graphical method) r3 m3 15 m3 b) If the system is not balanced what would be the reaction forces at A and B. (FA, FB=?) n = 150 rpm r; = 30 mm m, = 1 kg r2 = 20 mm 40 тm 13= m, =3 kg m; = 2 kg k = please choose an appropriate scaling factor yourself SHOT ON MI 6 MI DUAL CAMERA
- E A planar four-bar linkage mechanism with 3 revolute kinematic pairs and 1 prismatic kinematic pair is shown in the figure, where AB 1 CE and FD I CE. The T-shaped link CDEF is constructed such that the slider B can cross the point D, and CE is sufficiently long. For the given lengths as shown, the mechanism is E 3 cm D 1.5 cm 5 cm HIB 3 cmConsider the mast supported by three cables as shown below: (Note the orientation of the axes.) Write the vector expression for the position vector running from D to C; (i.e. rDC = ?) Write the vector expression of the unit vector for rDC; (i.e. uDC = ?) What is the angle between the force TDC and the z-axis? What is the tension (a vector) in cable DC acting at D? (i.e. TDC = ?)4-44. Blocks A and B each require 30-N cable tension to start them sliding (Figure P4-44). Deter- mine force P and angle to cause them to start sliding simultaneously. FIGURE P4-44 2m PF 20⁰ 80° 4 m B
- 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 mbäs öel jäl - 2_5334586558316022742 Q (1): If the force system shown in figure (1) is in a balanced system, calculate the force and the angle 0 T 20 I 20 Ih (M (2): Calculate the torque of force 60 lb around point H. (15 degrees 425 N 500 N 30 •..The spring clamping force Fg = 2 N. The contact pressure force FA and the joint forces Fg at the jump piece 1 should be determined for the toggle mechanism with a straight guide shown in figure. C 26 mm B 2 10 mm A 1 8 mm 7 mm D 10 mm 15 10 ww ww
- 1. In lecture I focused on a horizontal mass-spring system so we could ignore gravity, but in practice it's much easier to build a vertical mass-spring system. In the figure below, we can see a suspended spring with spring constant k both before and after a mass m is hooked to it. Y Yo yo is the equilibrium height of the spring (without the mass) and in the figure y = 0 is set at the ground. a) Using the coordinate system in the figure, show that Newton's second law for the hanging mass-spring system leads to the following differential equation: d²y dt² k (y - Yo) - g m b) Now define a new coordinate, y', related to y by a constant shift: y = y' + C, where C = constant. Show that if you choose the right value of C, Newton's second law is identical in form to a mass-spring system without gravity. What is the period of the system? c) Effectively, gravity just shifts the equilibrium position of the system, but the system still undergoes simple harmonic motion. What is the net force on the…2- Find the applied force by the hydraulic cylinder in the truck shown graphically using KS: 1cm=1m, KF: 1cm=1 kN. W=25 kNThe weight of the linkage AB =BC= 20KG .Find the force acts on bar BC -875 mm- B 400 625 mm 30 60 F = 800 N