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- Suppose one truck is parked on a bridge as shown in Figure. The truck weighs 1000 lb which is acting through its center of gravity (CG). The bridge weighs 200 lbs per foot, which is uniformly distributed. We can assume the bridge is rigid. Determine the reaction forces at the supports of bridge at the two ends.A uniform drawbridge must be held at a 37° angle abovethe horizontal to allow ships to pass underneath. The drawbridge weighs45,000 N and is 14.0 m long. A cable is connected 3.5 m from thehinge where the bridge pivots (measured along the bridge) and pullshorizontally on the bridge to hold it in place. What is the tension in the cable?A uniform meter stick of weight W is held by a thumb pushing down at the 0-cm line and by fingers pushing up at the 5-cm line. What are both forces on the meter stick, the force of the thumb T and the force of the fingers F?
- Assume a person bends forward to lift a load "with his back" as shown in Figure (a). The spine pivots mainly at the fifth lumbar vertebra, with the principal supporting force provided by the erector spinalis muscle in the back. To see the magnitude of the forces involved, consider the model shown in Figure (b) for a person bending forward to lift a W, = 205-N object. The spine and upper body are represented as a uniform horizontal rod of weight W, = 320 N, pivoted at the base of the spine. The erector spinalis muscle, attached at a point two-thirds of the way up the spine, maintains the position of the back. The angle between the spine and this muscle is 0 = 10.5°. Back muscle R, Pivot R W2 a (a) Find the tension T in the back muscle. N (b) Find the compressional force in the spine. (c) Is this method a good way to lift a load? O Yes No Explain your answer, using the results of parts, using the results of parts (a) and (b). This answer has not been graded yet. (d) Can you suggest a…A window washer is standing on a scaffold supported by avertical rope at each end. The scaffold weighs 200 N and is3.00 m long. What is the tension in each rope when the 700-Nworker stands 1.00 m from one end?DA man holds a 178-N ball in his hand, with the arm bone- 22. Upper - rlexor muscle forcarm horizontal (sce the draw- ing). He can support the ball in this position because of the flexor muscle force M, which is applied perpendicular to the forearm. The forearm weighs 22.0 N and has a center of gravity as indicated. Find (a) the magnitude of M and (b) the magnitude and direction of the force applied by the upper arm bone to the forearm at the elbow joint. Elbow cg joint '0.0890 m -0.330 m- 0.0510 m
- A person bending forward to lift a load "with his back" (Figure a) rather than with his knees" can be injured by large forces exerted on the muscles and vertebrae. The spine pivots mainly at the fifth lumbar vertebra, with the principal supporting force provided by the erector spinalis muscle in the back. To see the magnitude of the forces involved, and to understand why back problems are common among humans, consider the model shown in Figure b, of a person bending forward to lift a W-195-N object. The spine and upper body are represented as a uniform horizontal rod of weight W-295 N pivoted at the base of the spine. The erector spinalls muscle, attached at a point two-thirds of the way up the spine, maintains the position of the back. The angle between the spine and this muscle is 12.0° Back muscle Pivot R₂ T120 T W W₂ 0 (a) Find the tension in the back muscle. KN D (b) Find the compressional force in the spine. (Enter the magnitude.) KNThree people are balanced on a uniform seesaw which has a weight of 150 N as shown in the figure. FN с B m=? 70kg A jooky (1-2,0) 31. find the mass of person B. (2,0) (3.0) 32. find the normal force acting on the fulcrum. W(150N) (5.4,0)As a part of his daily workout routine, he lifts 10-kg dumbbells on each hand. His hands and forearms weigh 4 kg each. If the length of each of his forearms and hands are 0.5 m, determine the force exerted by his muscles? Assume that the center of gravity of the forrearms are in the middle.
- A 12.0 m boom (along points A to B) of a crane lifting a 3000 kg load, as shown below. The center of mass of the boom is at its geometric center, and the mass of the boom is 1000 kg. a) What is the tension T in the cable? Give your answer in kN = 10-³ N. 171 171 A 188 T b) What is the magnitude of the force at axle A? Give your answer in kN = 10-³ N. 10° 30° B TON Image courtesy of Clker-Free-Vector-Images for the crane. 3000 kgThe positive direccion are indicated in the figure. The 880kg concrete bucket is in static equilibrium and the force in cable BC is 8000 N. 1. Determine the x component of the force BC, BCx =__N 2. Determine the Y component of the force BC,BCy=__N 3.Determinate the component of the force BA,BAx =__ N 4.Determinate the component of the force BA,BAy=__N 5. Determine the magnitude of force BA = __N 6. Determine the angle of the force BA =__°Suppose a 900-kg car is on the bridge in Figure shown with its center of mass halfway between the hinges and the cable attachments. (The bridge is supported by the cables and hinges only.) (a) Find the force in the cables. (b) Find the direction and magnitude of the force exerted by the hinges on the bridge.