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- Two weights are connectedby a very light, flexible cord that passesover an 80.0 N frictionless pulley of radius0.300 m. The pulley is a solid uniformdisk and is supported by a hookconnected to the ceiling (Fig.).What force does the ceiling exert on thehook?A uniform beam that 10-m long is being supported by two men, one man at each end. The weight of the beam. Is 100-N. If the first man supporting at the right side exert twice as much as the second man on the left, where must a 50-N motor be placed (measured from the first man) on top of the beam? Show complete solution.Question 2) The 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 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. Response
- 4. A 15,000 N crane pivots around a friction-free axle at its base and is supported by a cable making a 25° angle with the crane (see figure below). The crane is 16 m long and is not uniform, its center of gravity being 7.0 m from the axle as measured along the crane. The cable is attached 3.0 mfrom the upper end of the crane. When the crane is raised to 55° above the horizontal holding an 11,000N pallet of bricks by a 2.2 m, very light cord, find (a) the tension in the cable and (b) the horizontal andvertical components of the force that the axle exerts on the crane.The 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 R1The 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 distance between the points A and B where the cables are attached to the leg is given as L=100 cm and the angle of the leg with the horizontal is given as γ=8°. 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=50°. 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 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 total weight of the leg and the cast is W=250 N. The distance between the points A and B where the cables are attached to the leg is given as L=100 cm and the angle of the leg with the horizontal is γ=6°. 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 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. Responsenonuniform beam 4.50 m long and weighing 1.40 kNmakes an angle of 25.0° below the horizontal. It is held in position bya frictionless pivot at its upper right end and by a cable 3.00 m fartherdown the beam and perpendicular to it . The center ofgravity of the beam is 2.00 m down the beam from the pivot. Lightingequipment exerts a 5.00 kN downward force on the lower left end ofthe beam. Find the tension T in the cable and the horizontal and verticalcomponents of the force exerted on the beam by the pivot. Start bysketching a free-body diagram of the beam.A 15,000 N crane pivots around a friction-free axle at its base and is supported by a cable making a 25∘ angle with the crane (Figure 1). The crane is 16 m long and is not uniform, its center of gravity being 7.0 m from the axle as measured along the crane. The cable is attached 3.0 m from the upper end of the crane. 1. When the crane is raised to 55∘ above the horizontal holding an 11,000 N pallet of bricks by a 2.2 m very light cord, find the tension in the cable. 2. Find the horizontal component of the force that the axle exerts on the crane.
- A metal bar 10 m long and weighs 50 N is supported at the 7 m mark by a fulcrum. A 100 N bag is suspended at the right end of the bar. Where should a 40 N weight be suspended to balance the bar?The frame of a machine is accelerated rightwards at 3/4 gravity as shown in the figure below, it carries a uniform angle ABC weighing 120 lbs which is braced by the uniform strut CD weighing 80 lbs and AE weighing 40 lbs. Determine the components of the pin pressure at C.The 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 horizontal