A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold weighs 204 N and is 3.2 m long. What is the tension in each rope when the 698-N worker stands 1.06 m from one end? smaller tension N N larger tension
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- Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the door. One child pushes with a force of 185 N at a distance of 0.500 m from the hinges, and the second pushes at a distance of 0.400 m. What force must the second exert to keep the door from moving? Assume friction is negligible. Na. What are the conditions for static equilibrium? b. A 30.0 kg post is supported by two wires as shown. The post is 2.00 m long and a 5.00 kg wreath hangs 1.50 m from one end. Use the conditions for static equilibrium from part (a) to find the tension in each wire. Include a free body diagram as part of your answer.A bridge of length 50.0 m and mass 8.10 x 104 kg is supported on a smooth pier at each end as shown in the figure below. A truck of mass 2.80 x 104 kg is located 15.0 m from one end. What are the forces on the bridge at the points of support? 15.0 m 50.0 m normal force at point A N normal force at point B
- 7. What is the tension in each cable for the equilibrium configuration shown below? Cable A has a -x component, and positive y and z components, cable B is in the +x direction, and cable C has negative x and y components and a +z component. The 1300 N force is acting in the -z direction. +z C 2.0 m A 1.0 m 3.0 m 2.0 m 1.0 m 4.0 m Question #7 B +y +x 1300 N 8. By how much do the two springs stretch in the equilibrium configuration below in order to support the 25 kg mass? Each spring has an unstretched length of 2.2 m and a spring constant of 250 N/m. Spring A is exerting a force in the -y direction. Spring B is exerting a force in the -x direction.A 200 N sign hangs from the middle of a cable between two buildings. The ends of each cable are attached to each building at the same height. The cable cannot exceed 1500 N without breaking. Find the minimum angle that the cable can make from the horizontal.You are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force F_AL at an angle ϕ relative to the horizontal. The ladder has a length L and makes an angle of θ with respect to the vertical wall. You have a mass, m_Y, and are a horizontal distance x from the wall. The ladder has a mass of m_L. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,m_Y,m_L,θ,ϕ. Then use the following values to get a number for the magnitude of F_AL. θ = 30.3 degrees ϕ = 23.028 degrees x = 1.491 meters L = 7.1 meters m_Y = 86.0 kg m_L = 42.14 kg Find the magnitudes of: F_AL, normal force of the wall on the ladder (N_WL), and normal force of the floor on the ladder (N_FL).
- A light is suspended using two support struts: AB and CB. If the mass of the light fitting W is 40kg, determine the tension in support struts FAB 50° B W kg FCB 45° D FAB310.5 NFCB 150.7 N FAB=278.5 N; FCB=253.2 N FAB 150.4N; FCB=245.3 N FAB378.5N; FCB=353.2 NA diver of mass 75.6 kg stands on one end of a diving board of mass 39.1 kg, as shown in the diagram. Everything is in equilibrium (since nothing is moving). What is the magnitude of the support force on the opposite end of the diving board? 2,345 N 503 N 1,675 N 838 NA monkey of mass m = 10.0 kg is holding on to two vines each of length l = 3.00 m. The vines form an angle with the horizontal of 40.0 degrees (see figure). The monkey is not moving and the vines are considered massless and not stretchable. Determine the magnitude of the tension in each vine. d. Now the monkey moves up by clinging up the two vines, causing their angle with the horizontal to become smaller. If each vine breaks at a tension larger than T = 100 N, what is the smallest angel the vines can have with the horizontal?
- An object weighing 255 N is supported by a uniform 120 N horizontal beam as shown in the figure. The length of the beam is 2.50 m and the distance (x) is 2.05 m. Find the tension in the guy wire that is connected to the wall if the angle 0 = 55°. NConsider the following figure. A beam with a length of 3.0 m and a mass of 100 kg is held by two supports. A student with a mass of 80 kg is standing on the beam 1 m away from the second support. Determine the forces F1 and F2. F₁ 2m Wbeam W. 1m studentIn the figure, point A is pin support and point B has a sliding support. Find the reaction forces at points A and B. 20 N 4 N/m 53° 2 N/m В 6 m 2 m 3 m