Given: Member OC rotates about the pin at point O when the force T is applied. Spring AB is unstretched when OC is vertical. The spring constant for spring AB is k = 80 lb/in. Find: the magnitude of force T that is required o hold the position shown. 10 in 45° 5 in k = 80 lb/in 5 in C 30° 30°
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- Question 2: The ideal spring of constant k-2.6 kN/m is attached to the disk at point A and the end fitting at point B, as shown. The spring is unstretched when OA and Oв are both zero. If the disk is rotated 15° clockwise and the end fitting is rotated 30°counterclockwise, determine the vector expression for the spring force F. Determine distance C so that the moment the spring force makes about the Z axis is equal to 10.82 N.m. - A = 15°1 A 250 mm lllllll 900 mm k = 2.6 kN/m OB = 30° B G 200 mmQuestion 2: The ideal spring of constant k-2.6 kN/m is attached to the disk at point A and the end fitting at point B, as shown. The spring is unstretched when OA and Oв are both zero. If the disk is rotated 15° clockwise and the end fitting is rotated 30°counterclockwise, determine the vector expression for the spring force F. ( Determine distance C so that the moment the spring force makes about the Z axis is equal to 10.82 N.m. ( A = 15°. C A 250 mm eeeeeee 900 mm k= 2.6 kN/m OB = 30° B LC 7-y 200 mmThe L-shaped rod AOCD has an 80 kg mass hanging from it at B. The rod is leaning against a smooth wall at A. Point B is half way up OA. There is a journal bearing at C and a thrust bearing at D. They are properly aligned. A force F is pulling in the x-direction at B. Just as the rod comes off of the wall at A, what is the magnitude of the force F. 1 m B F 1m
- The 300kn sphere is supported by a pull p and a 200kn weight passing over a frictionless pulley. If a=30°. Computer the value of p and tangent.Equilibrium of Concurrent Force System. The piston of a reciprocating engine exerts a force of 175 kN on the crosshead when the crank is 45° (angle B) past TDC. If the stroke of the piston is 800 mm and the length of the connecting rod is 1.80 m, find the guide force and the force in the connecting rod. Hint: 1=½ stroke; Angle o may be solved using Sine Law in AACO. K= Compressive Force in the connecting Rod E= Piston Effort 70 120 F, = Guide Force Fig. P-1 Fig. P-2 a Tools: EF cos0=0; F sin .=0. R = Ev)* + (E#): ; R 771 =- : tane = sin A sin B sin C2. Find the horizontal force P to start the motion of any part of the system of three blocks resting upon one another as shown. The weight of the blocks are W-300 KN, Ws= 100 KN and Wc =200 KN. Between A and B μ=0.30, between C and B, μ =0.20 and between C and the ground, p=0.10. 1 sni brod nog 02.0-4 B C 05.0-4 Solution: tamos quoy worla bre sosia asquar 005 300 en of jells400 N₁-300 F3 N-300- N₂=300 Assuming B and C will not move. F₁ = 300 (0.30) F₁ = 90 kN ne à bns A zelboß 1 P = 90 kN es ensla berb hebnu 02.0- y elin 05.0= q V in Celpris orllanimetsa MX 008 Assuming C will not move: al 1st F2=400 (0.20) = 80 kN OTE Bm ribirte F₂ vica Assuming the three blocks move: F3 = 0.10 (600) F3 = 60 kN P=60 KN Least force is 60 kN.
- The figure shows the finishing position of a body builder's arm who is performing a standing lateral raise with a 5.00-kg dumbbell. This is an excellent exercise that isolates the lateral deltoid muscle. The weight of the arm itself is 42.5 N, and it acts at point A in the figure. Given the information shown, and the fact that 0 = 9.74°, (a) find the magnitude of the tension force in the deltoid (F₁) and (b) the normal force from the shoulder joint (F acting on the humerus bone that holds the arm in this equilibrium position. S (a) Number (b) Number i Fa 0.075 m O 12⁰ 0.250 m Units Units W arm 0.510 m 5 kg WAThe 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 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 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. ResponseBalance three masses that lie in one plane as shown below, if it is known that ml = 2 Kg ; R1 = 150 mm ; θ1 = 45°; m2 = 1 Kg ;R2 = 200 mm ; θ2 = 85⁰ and m3 = 3 Kg ; R3 = 50 mm; θ3 = 160°. Find the balancing masses me and θe if Re = 100 mmIn the equilibrium position shown, the resultant of the three forces acting on the bell crank passes through the bearing O. Determine the vertical force P. Does the result depend on 0? 48 lb 6" 75 lb Answer: P = i 6" 15° $ lb