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- The bar ABC is supported by three identical, ideal springs. Note that the springs are always vertical because the collars to which they are attached are free to slide on the horizontal rail. Find the angle at equilibrium if W = kL. Neglect the weight of the bar.The weight of the uniform bar AB is W. The stiffness of the ideal spring attached to B is k, and the spring is unstretched when =80. If W=kL, the bar has three equilibrium positions in the range 0, only one of which is stable. Determine the angle at the stable equilibrium position.The bent rod of negligible weight is supported by the ball-and-socket joint at B and the cables attached to points A and C. Find the forces in the cables and the magnitude of the reaction at B. Dimensions Figure P.5.39
- The wheels, axle, and handles of a wheelbarrow weigh W = 55 N. The load chamber and its contents weigh WL = 623 N. The drawing shows these two forces in two different wheelbarrow designs. To support the wheelbarrow in equilibrium, the man’s hands apply a force to the handles that is directed vertically upward. Consider a 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 designs.The figure shows a bar in equilibrium position resting on the floor at point A and on the wall at point B. If the mass of the bar is m and the angle it makes with the floor is θ = π/6, find the magnitudes of the frictional and normal forces at points A and B.PROBLEM #1: A vertical force P = 20 lb is applied to the ends of the 2-ft cord AB and spring AC. If the spring has an unstretched length of 2 ft. Take k = 25 lb/ft. (see picture for illustration). Determine the: (a) forces (b) angle theta for equilibrium Note: Kindly show the complete step-by-step solution. Please make sure that your handwriting is understandable and the picture of the solution is clear. I will rate you with “like/upvote” after. I need the answer right away, thank you. Topics Discussed: Static of Rigid Bodies, Equilibrium of a Particle, Position Vector, Force Vector Direction, etc.
- The 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.The car shown in the figure below has a mass of 1673 kg. The coefficient of static friction between the rubber tires and the pavement is 0.6. Determine the maximum incline e [degrees] that the car can drive up if it has rear-wheel drive. 0.85 m 1.2 m 1.7 m Answer: 18.87 Calculate the normal reaction force at the rear wheels for the condition of rear-wheel drive in N. Answer:Figure 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 W
- The 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. ResponseWhen activated by the force P,the gripper on a robotic arm is able to pick up objects by applying the gripping force F as shown in the figure below. Given that P = 120N,calculate the gripping force F in N for the position shown.A person is performing slow arm curls with a 10- kg weight as indicated in the figure below. The brachialis muscle group (consisting of the bicepts and brachialis muscles) is the major factor in this exercise. Determine the magnitude F of the brachialis-muscle-group force and the magnitude E of the elbow joint reaction at point E for the forearm position shown in the figure. Use the dimensions provided to locate the effective points of application of the two muscle groups; these points are 200 mm directly above E and 50 mm directly to the right of E. Include the effect of the 1.5- kg forearm mass with mass center at point G. State any assumptions. Humerus Biceps Brachialis 200 mm Ulna 10 kg Radius E 50 mm 100 mm 350 mm