Solve the following problems completely. Show your FBD with proper label. 1. A smooth sphere of mass 10 kg is supported by a chain as shown. Find the tension in the chain and the reaction of the wall. 25 cm 23
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T= 83.1936
R=77.7999N
this must be the answers
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- 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 uniform 18kg Bar OA is held in the position shown by a smooth pin at 0, and the cable AB which is in tension as shown. DA 1.5 m 60° 1.2 m What are the components of the Weight Vector (W), which is used to represent the weight of the bar OA W =Wi – Wyj (Answer in Newtons) Wy Choose... Choose... Next page us page2. Auniform bar 3.00 m long is held by ropes at the ends making angle 60.0° and 30.0°, respectively, with the horizontal. A weight of 200 N is hung 0.500 m from the left end where the 60.0° rope is attached. Find the tension in the ropes (T1 & T2) and the weight (W) of the bar. (Hint: Formulate three equations for the three unknowns, 2 equations for the 1st condition and 1 equation for the 2nd condition.) 3.00m T2 7 0.500m 60.0 B 200 N
- The rigid body is supported by a hinge at A and a cable at C. The hinge resists 5.5m translation in all three coordinate directions and rotation in the x and y directions. The 260 N force is in the -x direction and acts at the center of the 3m body. Find the tension in the cable and the components of the support C 2.5m 260N reactions at A. Your answer should include a properly Ilm annotated FBD. B 3.ImAnswer FOUR questions ONLY selecting TWO questions from SECTION A. 1. (a) The vertical structure ABCD shown in Figure 1(a) is subjected to a system of coplanar forces and a moment. The structure is simply supported at D with a frictionless pin and is roller-supported at A. i Sketch the free body diagram (FBD). Take moments about D and hence find the reaction force at support A. ii. 35 AN 23m 60 100 km Osm Figure 1(a) (b) An assembly of a steel bar enclosed within an aluminium alloy tube is shown in Figure 1(b). The tube and the bar are of the same initial length. The combination is compressed between two rigid parallel plates by a force of 500 kN. The diameter of the steel bar is 40 mm, and the inside and outside diameters of the alloy tube are 60 mm and 100 mm respectively. The Young's moduli for steel and aluminium alloy respectively are Est = 200 GNM2, EA = 70 GNm?. Find the stresses generated in the steel bar and the aluminium alloy tube. Sael he -Rid pl Figure 1(b)A 400 N gas sign hangs from the end of a uniform strut BC. The strut is 4 m long and weighs 600 N. The strut is supported by a hinge at the wall at C and by a cable whose other end is tied to the wall at point A 3.0 m above the left end of the strut. Find the tension in the supporting cable and the force of the hinge on the strut. 5.0 m 3.0 m 4.0 m B GAS TAB= 1333 N TAB= 1167 N TAB= 400 N TAB= 1000 N leave the question 4 Other: Q 4 4 points Rc= 980 N O Rc= 360 N Rc= 890 N Rc= 1085 N O O O O O O O
- The figure below shows a painting hanging from a nail fixed into the wall. The picture is supported by a strong, light string attached to the picture symmetrically at two points along the top of the frame. 0.1 m 420 42 05 m 0.75 m Draw a free-body diagram of the painting. If the tension in the string is 60 N, what is the weight of the painting? A person tries to move the painting to the right by pushing on the bottom left edge with a force of 10 N. What moment does this exert about the nail? What force would the person need to apply to the top left edge instead to exert the same moment?Q1-A- A man stands on the middle rung of a 250 N ladder resting on a smooth floor and against a wall as shown in Figure. The ladder is prevented from slipping by a string OD and the tension force in the string is 50 N, and the reactions at A and B are 1.3 kN and 433 N respectively. Find the mass of the man. Fig. (1) A 250 N 30 2m 0 mThe 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 ABC
- 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 horizontalThe 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. ResponsePhysics for Engineering A uniform bar 3.00 m long is held by ropes at the ends making angle 60.0 and 30.0, respectively, with the horizontal. A weight of 200 N is hung 0.500 m from the left end where the 60.0 rope is attached. Find the tension in the ropes (T1 & T2) and the weight (W) of the bar. (Hint: Formulate three equations for the three unknowns, 2 equations for the 1st condition and 1 equation for the 2nd condition.)