Consider a 60-N weight suspended by two wires as shown in the accompanying figure. If the magnitude of vector F, is 36 N, find angle a and the magnitude of vector F₂. 60 55 F₂
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- Consider a 50-N weight suspended by two wires as shown in the accompanying figure. If the magnitude of vector F1 is 35 N, find angle a and the magnitude of vector F2.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?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.)
- A bag of cement with a mass of 100kg hangs in equilibrium from three wires as shown in the figure . Two of the wires make angles θ1=40 and θ2=30 with the horizontal. Assuming the system is in equilibrium, a. What is the magnitude of tension in string 1 b. What is the magnitude of tension in string 2A 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…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?
- The helicopter view in Figure P1.70 shows two people pullingon a stubborn mule. Find (a) the single force that isequivalent to the two forces shown and (b) the force a thirdperson would have to exert on the mule to make the net force equal to zero. The forces are measured in units ofnewtons (N).an 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.)Three people pull simultaneously on a stubborn donkey. Jack pulls eastward with a force of 94.5 N,94.5 N, Jill pulls with 88.1 N88.1 N in the northeast direction, and Jane pulls to the southeast with 181 N.181 N. (Since the donkey is involved with such uncoordinated people, who can blame it for being stubborn?) Find the magnitude of the net force the people exert on the donkey. What is the direction of the net force? Express this as the angle from the east direction between 0°0° and 90°,90°, with a positive sign for north of east and a negative sign for south of east.
- A mass M of 10 kg hangs from three wires as shown in Figure. If the system is in equilibrium, find the tensions in the wire-1 and wire-2 if α=30o and β=53o . cos30o =sin60o=0.866 cos60o =sin30o=0.500 sin53o=cos37o=0.8 sin37o=cos53o=0.6 g=9.8 m/s2Consider a 25-N weight suspended by two wires as shown in the accompanying figure. If the magnitudes of vectors F1 and F2 are both 75 N, then angles a and b are equal. Find a.A painter stands on a horizontal uniform scaffold hung by its end from two vertical ropes A and B, 6 meters apart. The scaffold weighs 200 N. The tension on A is 750 N and that in B is 250 N. a) What is the weight of the painter? b) How far from A is he standing? Include Fbd, Formula and Given