Consider the rudder assembly of a radio-controlled model airplane. For the 15° position shown in the figure, the net pressure acting on the left side of the rectangular rudder area is
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- The pressure vessel shown below is being lifted by two cables that are attached to the bottom of the tank at points L = 6' away from each other. Assume that this causes reaction forces at the bottom of the tank that are oriented in the direction of the cable, i.e. 30 degrees from vertical. The tank weighs 4,970 lb. For simplicity, assume that the weight is evenly distributed from one connection point to the other, thus ignoring any weight in the end caps. Also assume that the tank is pressurized to 272 psi. The tank has an internal radius of 1.7 ft and a thickness of 1/8 inch. The tank is made out of steel with a 50 ksi yield strength. Determine 1) the combined stress state at point C, which is located at mid-length at the bottom of the tank and 2) the factor of safety against yielding at point C using the Tresca criterion. be sure to clearly indicate your answers to parts 1 and 2.arrow_forwardProblem 266 Determine the resultant of the three forces acting on the dam shown in Fig. P-266 and locate its intersection with the base AB. For good design, this intersection should occur within the middle third of the base. Does it? W= 24,000 lb 7' F = 6,000 lb P = 10,000 lb 6' 60° Figure P-3arrow_forwardThe following figure shows a hollow piston of weight W=50 N and diameter D=3d occupies the position initial displayed. The lateral tube has a diameter d₁=d/2. Find the descent of the piston for the equilibrium position. (b=12 cm, d=8 cm, y=104 N/m³). TBL Agua D d₁arrow_forward
- The object that was horizontal before deformation, both shifted downward after the deformation and its axis made an angle of 0.1 degree with the horizontal as shown in the figure. (a) Draw the free body diagram of AB and write the equilibrium equations. (b) Calculate the displacement of point A (8). (c) Calculate the position of the center of gravity of this object (x). (d) Interpret whether the formulas you used to solve the problem are valid according to the stress results you have found. (e) Calculate the forces that will occur in the rods if the object is connected with an additional rod with the same geometry and material in the middle of AB. NOTE: The data "0.1 degree angle with the horizontal" is not valid for (e). 1m 1 m 1,2 m 0.1° O (MPa) 35 28 21 14 e (mm/mm) 0.008 0.016 0.024 0.032 0.040 0.048arrow_forwardThe wheels, axle, and handles of a wheelbarrow W=62N. The load chamber and its contents weigh Wl=575N. The drawing chose leave to Forsyth and different wheelbarrow designs to support the wheelbarrow and equilibrium the man's hands apply a force to the handles that is directly vertically upward. consider the rotational axis at the point where the tire contacts the ground, directed perpendicular to the plane of the paper. Find the magnitude of the Man's force for both designsarrow_forwardGate AB in the figure has a width of 6m, is hinged at B and has a stop at A. kept closed by a counterweight of 4500 kg a) Determine the level h, of the fluid of density 1.21 at the time it is in equilibrium and the system is as it is figure and calculate the reaction at the joint. The gate has a weight of 1.7 tons.arrow_forward
- 3. The stopper in the figure has a specific gravity of 76 kN/m°. Calculate the diameter for the valve to be keep in static equilibrium h=1.5 m. The weight of the sphere is negligible.arrow_forwardThe uniform bar AB weighing 240 lb. is mounted as shown in Figure upon a carriage weighing 480 lb. The center of gravity of the carriage is at C midway between the wheels. If P = 180 lb. and there is no frictional resistance at the wheels, find R1 and R2, and also the horizontal and vertical components of the pin pressure at A.arrow_forwardThe figure shows the Russel fracture traction device and a mechanical model of the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The combined weight of the leg and the cast is W=210 N. The horizontal distance between points A and B where the cables are attached to the leg is L=100 cm and the vertical distance is d=6 cm. Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A (3L/4= 75 cm). The angle that cable 2 makes with the horizontal is measured as β=33°. Accordingly, in order for the leg to remain in balance in the shown position; a) Find the tensile force T1 in cable 1. (Write your result in N) b) Find the tensile force T2 in cable 2. (Write your result in N) c) Find the angle α of cable 1 with the horizontal.arrow_forward
- An architecture student working at a drafting table requires some muscle action in order to support her head. As shown in the figure, three forces act on her head. If the force provided by muscles is F = 70 N and the weight of her head is W = 40 N, determine the magnitude and direction of the force provided by the upper vertebrae F, to hold her head stationary. Assume that this force acts along a line through the center of mass of her head as do the weight and muscle force. (Assume the +x-axis to be to the right.) magnitude direction ° measured clockwise from the -x-axis CGarrow_forwardThe figure shows a mechanical model of the Russel fracture traction device and the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The total weight of the leg and the cast is W=200 N. The horizontal distance between points A and B where the cables are attached to the leg is L=100 cm and the vertical distance is d=10 cm . Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A ( 3L/4= 75 cm) . The angle that cable 2 makes with the horizontal is measured as β=40 ° . Accordingly, in order for the leg to remain in balance in the position shown; a) Find the tensile force T 1 in cable 1 . (Write your result in N ) b) Find the tensile force T 2 in cable 2 . (Write your result in N ) c) Find the angle α of cable 1 with the horizontalarrow_forwardThe mass of the board suspended below is 70 kg. What is the tension in the rope, and what is the resulting Normal Force from the Pivot?arrow_forward
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