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A fence post of mass m = 8 kg supports a fence with three lengths of barbed wire. The bottom wire is a distance d = 0.35 m from the ground and each wire is a distance 0.35 m above the previous one. Each of these three wires has the tension on it. For this problem, assume that the force exerted by these wires is purely horizontal. An additional guy wire is used to keep the pole upright with a tension of Fa = 490 N. The guy wire attaches to the post at a point h = 0.86 m above the ground and makes an angle of θ = 45 with respect to the horizontal.
Write an expression for the tension in any one of the three fence wires.
What is the normal force that the ground exerts upward on the post?
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- The weightless strut in the figure below is not attached to the wall; it is prevented from falling only by friction. (Let w = 365 N, L = 4.45 m and h = 2.95 m.) (a) Find the magnitude of the force of friction between the wall and the strut.(b) Find the normal force exerted by the wall on the strut.(c) Find the minimum coefficient of static friction.A uniform plank of length 2.00 m and mass 31.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 690-N person is d = 0.500 m from the left end. magnitude of 7₁ magnitude of 72 magnitude of 73 T₂ ·d+ Z Z Z N N N -2.00 m- Ť₁ 40.0⁰A 5 kg block sits on an inclined plane with angle 30 degrees. A force is applied parallel to the incline. The magnitude of the applied force required to keep the block stationary is
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- An 8-m-long beam, weighing 14,700 N, is hinged to a wall and supported by a light rope that is attached 2.0 m from the free end of the beam. If the beam is supported at an angle of 30.0° above the horizontal, (a) find the tension in the rope and (b) the reaction force of the wall on the beam. 40.0° 2.0 m 30.0°You 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.
- A toddler weighs 10 kg and raises herself onto tiptoe (on both feet). Her feet are 8 cm long with each ankle joint being located 4.5 cm from the point at which her feet contact the floor. While standing on tip toe: (a) what is the upward normal force exerted by the floor at the point at which one of the toddler’s feet contacts the floor? (b) what is the tension force in one of her Achilles tendons? (c) what is the downward force exerted on one of the toddler’s ankle joints?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 rigid, vertical rod with a mass of 2.7 kg simply rests on the floor and is held in place by static friction. The coefficient of static friction between the rod and the floor is 1/6. The rod also has a wire connected between its top end and the floor, as shown in the figure. A horizontal force F is applied at the midpoint of the rod. F Æ 45° Find the greatest force F that can be applied at the midpoint of the rod without causing it to slip. N