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CP A uniform drawbridge must be held at a 37° angle above the horizontal to allow ships to pass underneath. The draw-bridge weighs 45,000 N and is 14.0 m long. A cable is connected 3.5 m from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place, (a) What is the tension in the cable? (b) Find the magnitude and direction of the force the hinge exerts on the bridge, (c) If the cable suddenly breaks, what is the magnitude of the
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- Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a wall with a hinge pin. The other end is supported by a cable making the angles shown in Figure P14.33. Find the tension in the cable. FIGURE P14.33 Problems 33 and 34.arrow_forwardA wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm above the bottom of the door. The center of mass of the door is at its geometric center, and the weight of the door is 260 N, which is supported equally by both hinges. Find the horizontal force exerted by each hinge on the door.arrow_forwardAn aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?arrow_forward
- Check Your Understanding A 400.0-N sign hangs from the end of a uniform strut. The strut is 4.0 m long and weighs 600.0 N. The strut is supported by a hinge at the wall and by a cable whose other end is tied to the wall at a point 3.0 m above the left end of the strut. Find the tension in the supporting cable and the force of the hinge on the strut.arrow_forwardA 5.45-N beam of uniform density is 1.60 m long. The beam is supported at an angle of 35.0 by a cable attached to one end. There is a pin through the other end of the beam (Fig. P14.30). Use the values given in the figure to find the tension in the cable. FIGURE P14.30arrow_forwardAt a museum, a 1300-kg model aircraft is hung from a lightweight beam of length 12.0 m that is free to pivot about its base and is supported by a massless cable (Fig. P14.38). Ignore the mass of the beam. a. What is the tension in the section of the cable between the beam and the wall? b. What are the horizontal and vertical forces that the pivot exerts on the beam? FIGURE P14.38 (a) From the free-body diagram, the angle that the string tension makes with the beam is = 55.0 + 18.0 = 73.0, and the perpendicular component of the string tension is FT sin73.0. Summing torques around the base of the rod gives (Eq. 14.2): =0:(12.0m)(1300kg)(9.81m/s2)cos55.0+FT(12.0m)sin73.0=0FT=(12.0m)(1300kg)(9.81m/s2)cos55.0(12.0m)sin73.0FT=7.65103N Figure P14.38ANS (b) Using force balance (Eq. 14.1): Fx=0:FHFTcos18.0=0FH=FTcos18.0=[(12.0m)(1300kg)(9.81m/s2)cos55.0(12.0m)sin73.0]cos18.0=7.27103NFy=0:FVFTsin18.0(1300kg)(9.81m/s2)=0 FV=FTsin18.0+(1300kg)gFV=[(12.0m)(1300kg)(9.81m/s2)cos55.0(12.0m)sin73.0]sin18.0+(1300kg)(9.81m/s2)FV=1.51104Narrow_forward
- A steel cable 2.00 m in length and with cross-sectional radius 0.350 mm is used to suspend from the ceiling a 10.0-kg model aircraft that is flying in a horizontal circle with an angular speed of 6.00 rad/s. What is the strain produced in the cable?arrow_forwardA massless, horizontal beam of length L and a massless rope support a sign of mass m (Fig. P14.78). a. What is the tension in the rope? b. In terms of m, g, d, L, and , what are the components of the force exerted by the beam on the wall? FIGURE P14.78arrow_forwardA safe mass M = 430kg hangs by a rope from a boom has a mass m = 85kg. Find the tension T, in the cable and the magnitude of the net force exerted on the beam by the hinge. Cable Rope (a) Hinge Beam comarrow_forward
- A beam of weight 1500 N is hinged at one end to the wall. The beam makes an angle of 37° with the wall. Its other end is attached to the wall with a cable making an angle of 53° with the wall. a) Find the tension in the cable. b) Find the magnitude of the force at the hinge. उने T 53 37% V12arrow_forwardA uniform drawbridge must be held at a 37° angle abovethe horizontal to allow ships to pass underneath. The drawbridge weighs45,000 N and is 14.0 m long. A cable is connected 3.5 m from thehinge where the bridge pivots (measured along the bridge) and pullshorizontally on the bridge to hold it in place. What is the tension in the cable?arrow_forwardStanding on a Horizontal Beam A uniform horizontal beam with a length of = 9.10 m and a weight of W, = 225N is attached to a wall by a pin connection. Its far end is supported by a cable that makes an angle of = 45.0° with the beam (see figure). A person of weight W,- 650 N stands a distance d = 2.25 m from the wall. Find the tension in the cable as well as the magnitude and direction of the force exerted by the wall on the beam. (a) A uniform beam supported by a cable. A person walks outward on the beam. (b) The force diagram for the beam (c) The force diagram for the beam showing the components of RandT. Rsine Tsin ở Reos e w, Tcos d w, SOLUTION Conceptualize Imagine the person in figure (a) moves outward on the beam. It seems reasonable that the farther he moves outward, the larger the torque he applies about the pivot and the Select the tension in the cable must be to balance this torque. Categorize Because the system is at rest, we categorize the beam as a rigid object -Select-…arrow_forward
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