A uniform beam is 5.64 m long and has a mass of 59.9 kg. In the figure, the beam is supported in a horizontal position by a hinge and a cable, with angle 0 = 65.2°. (a) What is the x-component of the force on the beam from the hinge? (b) What is the y- component of the force on the beam from the hinge? Cable Веam (a) Number i Units (b) Number i Units
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- 8. A uniform beam, length = 12 m, wt = 800 N, is hinged at the wall and makes an angle of 30° to the horizontal. A wire connected to the beam 2 meters from its end makes an angle of 45° to the beam. a) What is the tension in the wire? b) What is the vertical component of the force of the hinge and c) What is the horizontal component of the force of the hinge? 45 30A horizontal plank 4.00 m long and having mass 20.0 kg rests on two pivots, one at the left end and a second 1.00 m from the right end. Find the magnitude of the force exerted on the plank by the second pivot.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. (a) What is the y component of the tension in the rope? (b) What is the x component of the tension in the rope? (c) What is the magnitude of the tension in the rope? (a) y component of the tension: Ty = (b) x component of the tension: Tx = (c) What is the magnitude of the tension in the rope?
- 6m T 10m A 8m Figure 4 A B 6. A horizontal beam AB of mass m = 20kg is supported from end B by a cable and hinged to a A vertical wall at end A. Calculate the magnitude of the tension T in the cable when Batman, who has a mass M = 80 kg, stands midway along the beam. What are the x and y components of the force at the hinge?A uniform drawbridge must be held at a 38o angle above the horizontal to allow ships to pass underneath. The drawbridge weights 55000 N and is 15.0 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. What is the tension in the cable? Find the magnitude and direction of the force the hinge exerts on the bridge. If the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks? What is the angular speed of the drawbridge as it becomes horizontal? What is the velocity of the drawbridge, just before it “hits” (i.e. goes horizontal)?In the figure, one end of a uniform beam of weight 280 N is hinged to a wall; the other end is supported by a wire that makes angles θ = 28° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam.
- A uniform beam 4.2 m long and weighing 2200 N carries a 3700 N weight 1.50 m from the far end, as shown in the figure below. It is supported horizontally by a hinge at the wall and a metal wire at the far end. 1) How strong does the wire have to be? That is, what is the minimum tension it must be able to support without breaking? Express your answer in newtons. 2) What are the horizontal component of the force that the hinge exerts on the beam? Express your answer in newtons. 3) What are the vertical component of the force that the hinge exerts on the beam? Express your answer in newtons.Problem As shown below, a horizontal beam is in equilibrium. The orange circle represents the hinge and the 5 m long cable has a tension of 594 N. 3 m 5 m 4 m 2 162 N CEFFER C Bw #3 Determine the weight of the beam as well as the magnitude & direction of the force that the hinge exerts on the beam. beam weight = hinge force magnitude = hinge force direction = $ 4 21 % 5 o relative to the horizontal. LION MacBook Pro 6 & 7 *0 o th tv