In Figure below: A 400 N load is suspended from the ring A. If the load is supported by three cables AB, AC and AD. (Cable AB lies in the x-y plane and cable AC lies on the negative side of the x-axis). A. Determine the force in the cables for equilibrium. B. Write the cartesian vector representation for the forces in the three cables.
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- 6. The particle shown in the figure below has a system of four concurrent forces acting on it that result in equilibrium. The free body diagram below has been supplied to you. Please find the vector components of the unknown force Fa and the magnitude of the force. F₁-180 lb 40 30 30- F₂=150 lb -200 lbProblem Set No.5 - AutoRecovered - Compatibility Mode A Share P Comments AutoSave ff Review View Help O Search Design Layout References Mailings File Home Insert 4. Find the resultant of the three forces acting on the square plate. 70 lb 10 lb 0.75 ft 0.75 ft 60 lb 6 ft 6 ft + 160% 11:11 PM E English (United States) Recovered O G 4) ENG 4 Page 3 of 4 132 words 13/01/2021 O Type here to search1. Three forces act on particle A located at the origin of an x-y coordinate system. Force B acts at 140o from the positive x-axis, and force C acts at 15o from the positive x-axis. The weight acts down with a magnitude of W = 100 kN. Use the equations of equilibrium to determine the magnitudes of B and C such that particle A is in equilibrium. For problems 2-5, consider the following scenario. Equilibrium of a particle: ΣF=0 ∴ ΣFx=0 and ΣFy=0. Dimensions are: h = 2.5 ft, d1 = 4.75 ft, and d2 = 3 ft. Give numeric answers to three significant figures. The load W = 50 lb. Carefully draw a neat, labeled, free body diagram of particle C. Based on your FBD develop two equilibrium equations in terms of the symbols defined on your free body diagram. Find angles α and β. 5. Using your FBD from problem 5, substitute the known weight and angles α and β into your equations, then solve them simultaneously to find the tensions in cables AC and BC. These houses be the answers , 1. B = 117.9 kN,…
- The force which is acting on a body at right angles to its surface is called O In-direct force O Inclined force O Direct force O Shear force Clear my choice Which one of the following statements is incorrect? O Lami's theorem is applicable for three coplanar concurrent forces and in equilibrium O Parallelogram law is used to find the resultant of two forces acting parallel to each other O Lami's theorem is also called as Sine rule • Parallelogram law is used to find the resultant of two concurrent forces Clear my choice Find the moment with respect to point 'P' for the force system shown in the figure, where PQ = 10 m P 5N O 50 mN O 500 Ncm OV $PR Nows bui buðil-50 Nm- NI Jäl(Figure 1) shows two of the three forces acting on an object in equilibrium. Figure L < 1 of 1 Part A Redraw the diagram, showing all three forces. Label the third force F3. Remember that the object is in equilibrium, meaning, the acceleration is zero. Equilibrium requires that the net force is zero. Draw the force vector starting at the black dot. The location, orientation, and length of the vector will be graded. You can move the vectors F₁ and F2 to construct the required vector, but be sure to return them into their initial positions before submitting the answer. 11 No elements selected F₂ Select the elements from the list and add them to the canvas setting the appropriate attributes. P Pearson F₁ QThe 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 Z X The traffic light has a mass of 75 kg The distances are: a = 4m, b = 6 m, c = 9 m, h = 6 m To answer the next set of questions you will determine the following: a. Position vectors for OA, OB, OC b. Unit vectors for OA, OB, OC c. Overall equilibrium equation d. Equilibrium equations in each of the x, y and z directions e. The tensions in the cables OA, OB and OC The traffic light has a mass of 75 kg. The distances are: a = 4 m, b = 6 m, c = 9 m, h = 6 m. Determine the position vector for OA. The position vector FOA can be written in the form: TOA = TOAzi+TOAİ+TOA-k You will have to input each of these three components separately below. Given: • The x component of the position vector,IOA = 4 m. • They component of the position vector,TOA = -9 m. 1. What is the z component of the position vector,TOA? Please report…
- 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 A h Z O X The traffic light has a mass of 75 kg The distances are: a = 4 m, b = 6 m, c = 9m, h - 6 m To answer the next set of questions you will determine the following: a. Position vectors for OA, OB, OC b. Unit vectors for OA, OB, OC c. Overall equilibrium equation d. Equilibrium equations in each of the x, y and z directions e. The tensions in the cables OA, OB and OC h 3 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 h Z X The traffic light has a mass of 75 kg The distances are: a = 4 m, b = 6 m, c = 9m, h=6m Determine the position vector for OA. The position vector roA can be written in the form: TOA TOAzi+Toaj + roa:k You will have to input each of these three components separately…Figure Q1c shows a bracket on rollers that allow the bracket to move along a beam in the horizontal direction. A force F₁ of 2625 N acts at point A where the angle between F, and the x-axis is 100. If force F₂ acts at an angle a = 40° between F2 and the y-axis: (i) Determine the magnitude of F2 necessary to maintain bracket on horizontal equilibrium. (ii) Determine the vertical force at A acting along the y-axis. Give your answers to the nearest newton (N) to 2 decimal places. Assume coplanar forces and assume horizontal rolling is frictionless. F1 y २ Figure Q1c F2Lami's Therem is used to find the unknown force of three coplanar concurrent forces Select one: True False
- 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 WonsherGiven: A 3500 lb motor and | 3500 lb plate, as shown, are in equilibrium and supported by three cables and d= 4 ft. 10 ft Find: Magnitude of the tension in each of the cables. В 4 ft `3 ft 3 ft 4 ft Plan: 1) Draw a free body diagram of Point A. Let the unknown force magnitudes be FB, Fc, F D . 2) Represent each force in the Cartesian vector form. 3) Apply equilibrium equations to solve for the 3 unknowns.Three forces act on particle A located at the origin of an x-y coordinate system. Force B acts at 140o from the positive x-axis, and force C acts at 15o from the positive x-axis. The weight acts down with a magnitude of W = 100 kN. Use the equations of equilibrium to determine the magnitudes of B and C such that particle A is in equilibrium. Carefully draw a neat, labeled, free body diagram of particle C. Based on your FBD develop two equilibrium equations in terms of the symbols defined on your free body diagram. Find angles α and β. FB= 117.92 kn Fc= 93.507 Kn