A uniform drawbridge must be held at a 37.5 ∘∘ angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45000 NN, is 16.5 mm long, and pivots about a hinge at its lower end. A cable is connected 3.00 mm from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place. 1)What is the tension in the cable? 2)Find the magnitude of the force the hinge exerts on the bridge. 3)Find the direction of the force the hinge exerts on the bridge. 4)If the cable suddenly breaks, what is the initial angular acceleration of the bridge

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 30

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The horizontal beam inFig weighs 190 N, and itscenter of gravity is at its center.Find (a) the tension in the cable and(b) the horizontal and vertical componentsof the force exerted on the beamat the wall.

A 25-ft crane supported at its lower end by a pin is elevated by a horizontal cable. A 250-lb load is suspended through the cable. The center of gravity of the crane is 10 ft from the pin, and the crane weighs 200 lb. Hint: You don't have to convert the unit since they cancel out on both sides. 25. Find the tension in the cable. T $25016 26. Find the total force acting on the pin. y 27. Find the direction of the force acting on the pin, o = ? 60⁰° W(2001b)

H 60° Figure 6 G M 8. A uniform rod HG of length 2L m and mass m = 2 kg is hinged at end H, as shown in Figure 6 A mass Mg=100 N is hung at the other end G. A horizontal cable at the midpoint of the rod holds it at an angle of 60° to the horizontal. The cable is under a constant tension T. (a) Draw a diagram showing all the forces acting on the rod and determine the tension T in the cable. (b) Calculate both the x and y components (Fr and F₁) of the force F at the hinge H. (c) Will the net force F at H act along the rod HG? Justify your answer.

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.

One end of a uniform { = 4.30-m-long rod of weight w is supported by a cable at an angle of 0 = 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. = 0.490. 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. B Need Help? Read It Watch It