A 12 ft long, 38 lb ladder leans against a frictionless wall. The coefficient of friction between the ladder and the ground, however, is 0.321. Can a 190 lb man walk up the ladder all the way? If not, how far up (m) can he climb before the ladder begins to slip? 60
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- The light right-angle boom which supports the 450-kg cylinder is supported by three cables and a ball-and-socket joint at O attached to the vertical x-y surface. Determine the reactions at O and the cable tensions. y 1.65 m! 1.70 m C 1.40 m E 1.40 m A 2.80 m 0.85 m B 0.85 m 450 kg Answers: Ox = i N Oy = i N O2 = i N TẠC = i N TBD = i N TBE = i NYou have a summer job working downtown washing windows on skyscrapers (the pay is great and so are the medical benefits). The platform you and your partner are using to get to the windows is a meter wide and four meters long. You know from hauling the platform out of your truck countless times that it has a mass of 70 kg. It is supported by two cables, one at each end, mounted on-center to prevent the platform from tipping over as it is pulled up the side of the building at a constant speed. If you (mass of 55 kg) are standing on the platform 1 meter from one cable while your partner (mass of 87 kg) is 1.3 meters from the other cable and both of you are half a meter from the side, what is the tension in each cable? Assume the platform has a uniform mass distribution and is of negligible thickness.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.
- 6. A uniform ladder 10.0 m long is leaning against a frictionless wall at an angle of 60.0° above the horizontal. The weight of the ladder is 50.0 N. A 150.0 N boy climbs 4.00 m up the ladder. What is the magnitude of the frictional force exerted on the ladder by the floor?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 N
- You gave a friend an outrageously large birthday present of mass m=29.7 kg. They are excitedly holding it using both hands on opposite sides of the box. Each hand applies a normal force of equal magnitude to each side of the box. The coefficients of static and kinetic friction between their hands and the paper are μS = 0.61 and μK = 0.23, respectively. The box is on the verge of slipping but they just manage to hold it. BR HAND y HAND X What is the magnitude of the normal force applied by EACH of their hands to the box? Provide your answer in Newtons to one decimal place.The weight of the box is W = 90 N and the coefficient of static friction between the box and the floor is u0.65. Neglect the weights of the bars. What is the largest value of the force F that will not cause the box to slip?1. The figure shows a horizontal steel beam with mass M = 500 kg and length L = 2.0 m held against a vertical wall by a taut cable with 0 = 60°. A ball with mass m = 200 kg is attached via a short cable at a distance x 1.5 m from the wall. = a. Draw an extended force diagram for the steel beam, drawing the direction of the forces and the location of the forces acting on the beam. Ꮎ X m b. Using the contact point between the wall and the beam as your pivot point for torque calculations, balance the torques created by all the forces acting on the beam to determine the magnitude of the tension force that the cable exerts on the beam. C. Balance the forces in the x- and y-directions to determine the x- and y-components of the force that the wall exerts on the beam.
- A small box of mass m1m1 is sitting on a board of mass m2m2 and length LL (Figure 1). The board rests on a frictionless horizontal surface. The coefficient of static friction between the board and the box is μsμs μsμs Throughout the problem, use gg for the magnitude of the free-fall acceleration. In the hints, use ff for the magnitude of the friction force between the board and the box. Find Fmin, the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the the box (which will then fall off of the opposite end of the board) Express your answer in terms of some or all of the variables μsμs m1m1 m2m2 g L Do not include ff in your answer.Two identical, side-by-side springs with spring constant 240 N/m support a 2.00 kg hanging box. Each spring supports the same weight. By how much is each spring stretched?An engineering student suspends his 300 N tool box by using a system of ropes and pulleys, as shown in the figure. The mass M1 is equal to 20.0 kg. The angle e and the mass M2 have been chosen so that the entire system remains at rest. Assume that the pulleys are all ideal and frictionless, and that the cords have negligible weight. A+y T2 M2 Mi TOOL BOX 33. The angle 0 is equal to A. 33.2°. В. 3.8°. C. 56.8°. D. 49.2°. E. 40.8°. 34. The mass M2 is equal to A. 30.6 kg. B. 20.0 kg. C. 40.0 kg. D. 50.6 kg. E. 36.6 kg.