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The lumbar portion of the human spine supports the entire weight of the upper torso and the force load imposed on it. We consider here the disk (shaded red) between the lowest vertebra of the lumbar region
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Engineering Mechanics: Statics
- The 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_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 cast is W=180 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=5 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=30°. 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) Answerb) Find the tensile force T2 in cable 2. (Write your result in N) Answerc) Find the angle α of cable 1 with the horizontal. Responsearrow_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_forward
- The arm in the figure below weighs 37.6 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force F, in the deltoid muscle and the force i, exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown. (Enter your answers to at least the nearest newton.) N %3D 0.080 m 0.290 m-arrow_forwardThe structure consists of a spring CD and a solid member ABC with a slot at B. The peg at B fits loosely into the slot at B and can hence be interpreted as a smooth support. The unstretched length of the spring is 80 mm. 50 mm 150 mm 50 mm A D C B k = 600 N/m 1.1 Draw separate free-body diagrams of member ABC and the spring CD. 1.2 Comment on the existence of two-force members and three-force members in this system. 1.3 Determine the reactions at A and B on the member ABCarrow_forwardFigure 1 shows a simple system to lift a heavy load. The dimensions a = 3.6 m and b = 1.2 m. The mass of the bar and counterweight is 45000 g, and their weight W acts at the point as shown. The mass of the load being lifted is 20000g (a) (b) If the load is just above the ground, determine the vertical force the person must exert to support the system. If the load is 1 m above the ground, determine the vertical force the person must exert to support the system. 25° Figure 1 20000 g Warrow_forward
- The arm in the figure below weighs 41.6 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force Ft in the deltoid muscle and the force Fs exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown. F 0.080 m -0.290 m TE brarrow_forwardThe uniform bar AB weighing 240 lb is mounted as shown in the 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 the value of R1arrow_forwardNeed some help with Part i, ii, iiiarrow_forward
- Two masses are attached to a uniform meter stick as shown in the figure below. The masses of m1 and m2 are as given and the meter stick weighs 150 g. A force F with unknown magnitude is applied on one end of the stick at an angle of 30° to balance the system. Please show the full solution.arrow_forwardPlease explain in clear detail and explain where you got your numbers from.arrow_forwardFor the frame shown below, The mass of the object connected is 96-kg. what is the value of the force in member BC in N? (Note: enter your numeric answer only. No need to enter units. Give your answer to three decimal places and negative for compression). FBC = -1.2 m 0.1 m 0.3 m В C 0.6 m Aarrow_forward
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