Three coplanar forces are acting on a point as shown below. The magnitude and the direction (with respect to 100 N force), respectively, of the resultant are most nearly: 60 N f 30° 60 800 N 100 N
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- A magnet of mass 4.72 kg is suspended from the ceiling by a cord as shown. A large magnet is somewhere off to the right, pulling on the small hanging magnet with a constant force of F = 57.1 N. At what angle theta ?with respect to the vertical does the magnet hang? Consider the same situation as in the previous problem. This time the magnet has mass 6.62 kg and the force pulling the magnet to the right has magnitude 180.6 N. What is the magnitude of the tension force in the cord? Same situation as in the previous problem this time the magnet has mass 7.25 kg, the force pulling it to the right is 111.3 N, the cord has length 0.54 m and the ceiling is 2.82 m above the floor. How far to the right of its start point will the magnet have traveled when it hits the floor after the cord is cut? OK, one more time. This time the magnet has mass 6.78 kg and the force pulling it to the right is 175.5 N. When the magnet hits the floor, it continues being pulled to the right by the same…Three forces equal to 3P, 5P and 7P act simultaneously along the three sides AB, BC, and CA of an equilateral triangle ABC of side a. Find the magnitude, direction and position of the resultant once. [Ans. 3.46 P; 210° ; 1.25 a]A person is holding a beam at rest as shown with theta= 36.3 degrees and phi= 62.7 degrees. The beam has a mass of 21.7 kg. What is the magnitude of the friction force from the ground on the beam? and What is the tension in the rope attached to the beam?
- Determine the magnitude F and direction θ (measured clockwise from the positive y-axis which is downward in this case) that will cause the resultant R of the four applied forces to be directed to the right with a magnitude of 12.4 kN. 12.7 kN, 51.8o 17.2 kN, 15.8o 21.7 kN, 18.5o 72.1 kN, 81.5oThe magnitudes of the three forces are F1 = 1.6kN,F2 = 1.2kN and F3= 1.0kN. Compute their resulatant in the form (a) R=Rxi + Ryj+Rzkl and (b) R=RλTwo forces act perpendicular to each other with 100 N in the +x and 150 N in the +y. Which of the following is the magnitude direction of the resultant force?
- A mass in translational equilibrium experiences 3 forces. Select the case that most fully and accurately describes the scenario. I. The magnitudes of the 3 forces are equivalent. II. The angles between the 3 vectors are 120 degrees. III. The vector sum of the 3 forces equals 0N. IV. All 3 forces are parallel. A. III only B. I only C. I and III only D. IV only E. II and III onlyan 817 kg construction bucket is suspended by a cable A that is attached at O to two other cables B and C, making angles u1 = 51.0° and u2 = 66.0° with the horizontal. Find the tensions in (a) cable A, (b) cable B, and (c) cable C. (Hint: To avoid solving two equations in two unknowns, position the axes as shown in the figure.)A person pulls at an angle of 0 = 34.0° on three connected crates of masses m¡ = 25.0 kg, m2 = 18.0 kg, and Pull m3 = 15.0 kg over a smooth horizontal floor, as shown in A В the figure. The crates are connected to each other by m, m, m3 identical massless, horizontal strings A and B, each of which can support a maximum tension of 45.0 N before breaking. What is the magnitude F, of the largest pulling force that can be exerted without breaking either of the strings?
- There are two forces on the 1.19 kg box in the overhead view of the figure but only one is shown. For F1 = 15.7 N, a = 14.7 m/s2, and θ = 34.1°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.)Two (2) forces were acted upon a body. One force is 12.5 N, directed 130^o from the + x-axis and the other force is 14.8 N, directed 26^o from the + x-axis.. Find the magnitude of the horizontal and vertical components of the net force (Fx and Fy). a. 5.3 N; -16.1 N b. - 5.3 N; 16.1 N c. 5.3 N; 16.1 N d. -5.3 N; - 16.1 NA particle, which remains at rest, is acted on by three forces F, G and H. The force F has magnitude 18N and is directed to the left and down, making an angle of 40 degrees with the vertical. The force G has magnitude 15N and is directed to the right and down, making an angle of 70 degrees with the horizontal. Find the magnitude of the vector H and the acute angle it makes with the horizontal.