A 3-meter-long beam with weight 200 N is supported by a hinge at the wall and a cable as shown. A 300 N block is positioned along the beam at a distance x from the wall. If the breaking strength of the cable is 500 N, what is the maximum value of x? 30°
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- The figure shows a 4.20-kg, 1.80-m-long rod hinged to a vertical wall and supported by a thin wire. The wire and rod each make angles of 45° with the vertical. When a 10.0-kg block is suspended from the midpoint of the rod, the tension T in the supporting wire is 49.3 N. The wire will break when the tension exceeds 75.0 N. 45° 45° T 10kg Tipler & Mosca, Physics for Scientists and Engineers, 6e © 2008 W.H. Freeman and Company What is the maximum distance dmax from the hinge from which the block can be suspended? dmax 0.871 Incorrect mA 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?Ea- d ms A horizontal L=1.4 m long mb3D12kg uniform bar is hinged on the left end and pulled at the right end by a cable. The cable makes 30° angle with horizontal. A 22 kg store sign is suspended below the bar at d=0.18 m from the right end. Find the magnitude of horizontal hinge force.
- 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 beam has a length of 15.2 m and a mass of 37.3 kg. The beam is horizontal and resting (in equilibrium) on two supports. One of the supports is located 4.09m to the right of the beam's center of mass. The second support is located 1.96 m to the left of the beam's center of mass. How much upward force is exerted on the beam by the first support?L = 2.0 m A diver with a mass of 43 kg is standing 1.3 m from the left end of a diving board. This diving board has a mass of 83 kg and a length of 2 meters. It is supported by a pillar that is 0.5 m from the left end (labeled F, in the figure) and a bolt that holds the left end down (labeled F2 in the figure). What is the magnitude of the force from the pillar, labeled F1. F = What is the magnitude of the force from the end of the board, labeled F2. F2 = What position could the diver stand at to make both F, and F2 a minimum? 3:45 PM
- A 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 ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction between the ladder and the horizontal surface is ?1=0.165 and the coefficient of friction between the ladder and the wall is ?2=0.153 . Determine the maximum angle α with the vertical that the ladder can make without falling on the ground.A rigid beam of length 1.8 m is in equilibrium, with one end attached to a wall by a hinge, and the other end held in place by a thin, massless wire as shown in the figure on Zoom. The wire will break if tension exceeds 1300 N. What is the maximum mass of the beam that can still be supported by the wire?
- The figure shows a 4.20-kg, 1.80-m-long rod hinged to a vertical wall and supported by a thin wire. The wire and rod each make angles of 45° with the vertical. When a 10.0-kg block is suspended from the midpoint of the rod, the tension T in the supporting wire is 49.3 N. The wire will break when the tension exceeds 75.0 N. 45° 45° T 10kg Tipler & Mosca, Physics for Scientists and Engineers, 6e © 2008 W.H. Freeman and Company What is the maximum distance dmax from the hinge from which the block can be suspended? dmax = mIn 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 beam is connected to the floor by a hinge. A rope is attached to the other end of the beam. The other end of the rope is connected to the ceiling. There is box sitting on the beam (see figure).The angle between the beam and the floor is 8.60 degrees. The angle between the rope and the horizontal is 20.0 degrees. The beam is 4.00-m long and has a mass of 6.80 kg. The box sits a distance of d = 0.620 m from the upper end of the beam and has a mass of 8.00 kg. The tension in the rope is 205.7 N.What is the horizontal component of the force on the beam due to the hinge?