A drawbridge is suspended by a cable as shown below. The drawbridge has a mass of M-3.5 x 10^5 kg and a length L=22.0 m, and is raised by an angle e=60° above the horizontal. The cable is connected close to the end of the bridge and makes an angle 62-15°from horizontal when the bridge is raised. Assuming the hinge that the bridge pivots on is frictionless, find. a)l The magnitude of the tension in the cable when the bridge is raised. b) The magnitude of the force on the hinge when the bridge is raised. Hinge
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- A crate with a mass of M = 64.5 kg is suspended by a rope from the endpoint of a uniform boom. The boom has a mass of m = 119 kg and a length of | = 6.13 m. The midpoint of the boom is supported by another rope which is horizontal and is attached to the wall as shown in the figure. m 1 M The boom makes an angle of 0 = 52.0° with the vertical wall. Calculate the tension in the vertical rope. Submit Answer Incorrect. Tries 2/12 Previous Tries Submit Answer What is the tension in the horizontal rope? Incorrect. Tries 1/12 Previous TriesA 1220N uniform boom is supported by a cable perpendicular to the boom, as seen in the figure below. The boom is hinged at the bottom, and an m=2120N weight hangs from its top. Assume the angles to be a=60.7deg and 0=(90.0°- a). Ꮎ Ө ja m Find the tension in the supporting cable. Submit Answer Tries 0/10 Find the x-components of the reaction force exerted on the boom by the hinge (choose to the right as positive). Submit Answer Tries 0/10 Find the y-components of the reaction force exerted on the boom by the hinge (choose upwards as positive). Submit Answer Tries 0/10A 12.0 kg monkey climbs up a 135 N uniform ladder of length L leaning against the wall at an angle of 25°. The upper end of the ladder has a coefficient of friction of 0.25 and lower end of the ladder rests on a frictionless surface, but the lower end is attached to the wall by a horizontal rope that can support a maximum tension of 120 N. (a) Find the tension in the rope when the monkey is one third of the way up the ladder. (b) Find the maximum distance d (expressed as a fraction of L) that the monkey can climb up the ladder before the rope breaks.
- Two men are carrying a ladder of length l by supporting it at its ends. The ladder is horizontal, and its center of gravity is 1/4 of the way from one end. At what distance x from this end must a can of paint, of mass 3/4 of that of the ladder, be suspended so that the men carry equal loads?A uniform, 8.00 m, 1150kg beam is hinged to a wall and supported by a thin cable attached to a 2.00 m from the free end of the beam as shown. Find the tension in the thin cable. Do not forget the force of gravity on the beam. b) How hard does the beam push inward on the wall? what is the horizontal force on the beam from the wall?No Chatgpt,Only Handwritten solutions. Mechanical engineering (The free body diagram is mandatory)
- A uniform rod AB of weight 500 N and length 4.0 m is supported at two points P and Q as shown below. AP = QB = 0.80 m. A man of weight 800 N is walking from Q to B. Find the maximum %3D %3D distance x from Q the man can walk before the rod topples about Q. P Q A 1 -| × |- O 0.4 m O 0.8 m O 0.75 m O 0.6 mThe 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 uniform 8.00 m, 1500 kg beam is hinged to a wall and supported by a thin cable attached 2.00 m from the free end of the beam. The beam is fixed to the wall at an angle of 30 degrees above the horizontal. The angle between the cable and the beam is 40 degrees. What are the unknowns? -direction of tension in the cable -direction of the hinge force -magnitude of rhe tension in the cable -magnitude of the hinge force
- 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)?A house painter is standing on a uniform, horizontal platform that isheld in equilibrium by two cables attached to supports on the roof.The painter has a mass of 75.0 kg and the mass of the platform is 20.0kg. The distance from the left end of the platform to where the painteris standing is d = 2.00 m and the total length of the platform is 5.0 m.(a) How large is the force exerted by the left hand cable? (b) Howlarge is the force exerted by the right hand cable? [Hint: You can placeyour axis in any convenient location if the object is not rotating.]In the figure, one end of a uniform beam of weight 350 N is hinged to a wall; the other end is supported by a wire that makes angles - 26° 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) Number (b) Number (c) Number i i Units Units Units Hinge 8 > <