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- 16. ao The drawing shows a rectangular piece of wood. The forces applied to corners B and D have the same magnitude of 12 N and are directed parallel to the long and short sides of the rectangle. The long side of the rectangle is twice as long as the short side. An axis of ro- tation is shown perpendicular to the plane of the rectangle at its center. A third force (not shown in the drawing) is applied to cor- ner A, directed along the short side of the rectangle (either toward B or away from B), such that the piece of wood is at equilib- rium. Find the magnitude and direction of the force applied to corner A. A D Axis Problem 16Resolve a force of 100 N into two components which lie on opposite sides of the force and each of which makes an angle of 30° with the force. Ja=30° J0=30° E = 100N LLA uniform plank of length 2.00 m and mass 29.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 705-N person is d = 0.500 m from the left end. magnitude of T, 493.56 378 Your response differs from the correct answer by more than 10%, Double check your calculations. N 671.95 Your response differs from the correct answer by more than 10%, Double check your calculations. N magnitude of T. magnitude of T, 40.0° -2.00 m
- a dog weighing 54.3 N sits on a plank that makes a 25.0 degree angle with the ground. Find the components of the dog's weight force parallel and perpendicular to the plank.1. Determine the resultant vector of the three couples +20 N.m, -30 N.m, and 100 N.m acting respectively in the xy, yz, and xz planes.Two tension wires are supported by a concrete block attached to an anchor ring as shown in the figure. 3.50 kN 7.00 kN 30 Which of the following most nearly gives the resultant force in the anchor ring? B. 9.701 kN D. 5.158 kN A. 10.420 kN C. 7.825 kN Which of the following most nearly gives the angle that the resultant force makes with the horizontal? B. 43.675 D. 39.556 Which of the following most nearly gives the minimum weight of the concrete block with a factor of safety of 1.25 19.987 c. 53.712 A. to prevent uplift? A. 3.86 kN 4.45 kN В. 4.09 kN 4.66 KN C. D.
- SAQ 1 1.2 m D C 80 kN m An 80-kn.m couple shown in the plate is caused by a pair of parallel forces of magnitude F (not shown). 1.6 m Determine: a) the smallest possible value of F, and b) the value of F if the forces act at points A and C and are parallel to the dashed line shown at A. A В 60°The two structural members, one of which is in tension and the other in compression, exert the indicated forces on joint O. Determine the magnitude of the resultant R of the two forces and the angle e which R makes with the positive x-axis. The angle e is measured counterclockwise from the positive x-axis. 4.7 kN 2.2 kN 21° 56 Answers: R = kNFive forces are acting on the cantilever beam AB.Find the resultant or a couple acting on the cantilever beam.
- Four coplanar forces acting at a point are shown in Figure. One of the forces is unknown and its magnitude is shown by P. The resultant has a magnitude of 500 N and is acting along the x-axis. Determine the unknown force P and its inclination with the x-axes * 200 N 30 R= 500 N 500 N 200 N Your answer P.1. In each case, show how to resolve the force F into components acting along the u and v axes using the parallelogram law. Then establish the triangle rule to show FR = Fu + Fy. Label all known and unknown sides and interior angles. F = 400 N F = 200 N 70° 30 40° 30 70° 120 45° F = 600 N (a) (c) (ь) 'G 2. Determine the magnitude of the resultant force acting on the screw eye and its direction measured clockwise from the x axis. 45° 60° 2 kN 6 kN 3. If the resultant force acting on the support is to be 1200 lb, directed horizontally to the right, determine the force F in rope A and the corresponding angle . F 60° 900 lbProblem 1. Two forces act on the hook. Using the parallelogram law, determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. F = 250 lb - 30° 45 F; = 375 lb Problem 2. Two forces, P and Q, are applied to the lid of a storage box as shown. If P = 50N and Q = 72N, determine the magnitude of the resultant force using the parallelogram law. 85° 55° 25°