9- Find the equivalent static wrench vector at the origin for the given two-force system.
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- Determine whether the force-couple system shown in the figure can be reduced to a single equivalent force R. If this is possible, determine R and the point where the line of action of R intersects the yz-plane. If reduction is not possible, replace the given system with an equivalent torque wrench and determine its resultant, its pitch, and the point where its axis intersects the yz-plane.Calculate the reaction force at point O in the y-directionProblem: In the probiem below, distances are specified from left to right. The distance between point B and the force of magnitude P is 0.5 m, distance between force of magnitude P and 4P is 1 m, between the force of 4P and the next identical force of 4P is 1.5 m, between that of the force 4P and 2P ois 1.5 m, and between pin at A and the force of magnitude 2P is 0.5 m. a) Determine the support reactions at A, B and C. b) If the cross section of BC is a square of side 20 mm, determine the average normal stress at any point between B and C. c) Draw the state of stress on a volume element. 111L 4P 2P 30 B A 米 0,5m Im 1.Sm P= 15 KN
- In the mechanism shown, find the force P and all reaction forces. Ignore weight forces and frictionFind: 1, The magnitude of the horizontal component of the reaction force at Support-A is The magnitude of the vertical component of the reaction force at Support-A is The magnitude of the horizontal component of the reaction force at Support-B is The magnitude of the vertical component of the reaction force at Support-B is 5. The magnitude of the horizontal component of the force carried by Pin-C is 6. The magnitude of the vertical component of the force carried by Pin-C is mm 200 4. 2. 3. 3 kN Hinge 400 mm C 12.5 kN/m 400 mm KN. KN. kN. kN. kN. KN.Find the sum of moments about the origin (or at point O) of a non-concurrent force system as shown in figure 1. NOTE: 1. point O is the intersection of the x-axis and the y-axis. 2. take counterclockwise moment as (+) moment.
- The figure below shows a small gate attached to two couplers. The door needs a resultant moment of 178 N-m counterclockwise to be able to open when rotated around pivot A. The purpose of this problem is to calculate the force F2 needed for the door to open with the specified moment. The magnitude of the force F1 is equal to 480 N (Note that due to the distances provided, it is not necessary to use the principle of moments for couples and not all dimensions will be needed). What is the magnitude of the force F2 necessary for the gate to open? This will be the answer that will be offered in the numerical entry of this question.Given the picture below, if If L=80.0 N and A=60.0N, what is the fource couple at C equivalent to the 2 forces ?Problem 5: Inputs: F = 81 i lb The force is applied at point A. (a) Use the cross product to compute the moment about point O. Mo = TOA X F. Express your answer as a vector. (b) Using the right-hand rule, interpret your vector result from the previous step and express this as a number with direction, CW or CCW. Use the absolute value here. (c) Use the scalar approach to compute the moment about point O. If you like, you can use the table we used for the previous problems, but a table is not required for this problem. (d) Do parts (b) and (c) jibe? Yes or no. (0, 3, 0) ft y A O F X Even though this is a 2D problem, notice that you must retain the z-term in your vector formulations. That's because the result of the cross product is a moment vector that is perpendicular to the plane containing r and F. In other words, if you're using the cross product, you are inherently constructing a 3D problem, even though the inputs look like a 2D problem.