In the figure, a uniform beam with a weight of 63.6 N and a length of 3.59 m is hinged at its lower end, and a horizontal force F of magnitude 42.5 N acts at its upper end. The beam is held vertical by a cable that makes angle 0 = 28.7° with the ground and is attached to the beam at height h = 2.00 m. What are (a) the tension in the cable, (b) the x-component of the force on the beam from the hinge, and (c) the y- component of the force on the beam from the hinge. L.
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- The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle 0 = 40° by a brace that is attached to a pin. The beam has a weight of 340 N. Three additional forces keep the beam in equilibrium. The brace applies a force P, and the hinge applies a force with a horizontal component H and a vertical component V. (a) Draw the free- body diagram showing the forces that act on the beam. Find the magnitudes of the forces (b) P, (c) H, and (d) V. Beam Hinge Pin Ꮎ Brace EOne end of a uniform € = 3.40-m-long rod of weight w is supported by a cable at an angle of 8 = 37° with the rod. The other end rests against a wall, where it is held by friction (see figure). The coefficient of static friction between the wall and the rod is μ = 0.590. Determine the minimum distance x from point A at which an additional weight w (the same as the weight of the rod) can be hung without causing the rod to slip at point A. BA uniform beam of length L = 11.7 meters and mass of 109.3 kg is pinned at one end and is being supported by a wire as shown. The wire is connected to the beam x = 3.3 meters from the pin. A person of mass 81.6 kg is standing all the way out on the edge of the beam. If θ = 17.3 degrees and φ = 79.4 degrees, what is the tension in the wire?
- A scaffold of mass 71 kg and length 4.8 mis supported in a horizontal position by a vertical cable at each end. A window washer of mass 64 Kg stands at a point 2.4 m from one end. What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable? (a) Number UnitsA scaffold of mass 79 kg and length 5.0 m is supported in a horizontal position by a vertical cable at each end. A window washer of mass 84 kg stands at a point 1.1 m from one end. What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable? (a) Number i Units (b) Number i UnitsThe figure below shows a beam of uniform density with a mass of 35.5 kg and a length t5.95 m. It is suspended from a cable at a distance d 1.20 m from its left end, while its right end is supported by a vertical column. (a) What is the tension (in N) in the cable? (b) What is the magnitude of the force (in N) that the column exerts on the right end of the beam? Need Help? Read Page 20
- In a city park a nonuniform wooden beam 4.00 m long is suspended horizontally by a light steel cable at each end. The cable at the left-hand end makes an angle of 30.0° with the vertical and has tension 620 N. The cable at the right-hand end of the beam makes an angle of 50.0° with the vertical. As an employee of the Parks and Recreation Department, you are asked to find the weight of the beam and the location of its center of gravity.A fisherman has caught a fish on his pole, and to keep the pole steady he has to apply an upward force of F2 = 265 N at an angle of 58° with respect to the pole (see figure). The length of his pole is 3.2 m, and he is holding it a distance 0.65 m from the end, where he is applying a downward force F1. Part (a) With how much force, F1, in newtons, does he have to push straight downward on the end of his pole to keep the pole from moving? You may assume the pole is massless. Part (b) What is the mass of the fish on the end of the pole, in kilograms?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?