1. A traffic light hangs from the cables as shown in the figure. If T₁ = 100 N, how much is tension T2 that makes the traffic light in equilibrium? What is the weight of the traffic light? Answer: Knowns: Unknowns: Draw the free body diagram 41 63 M N
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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.2. 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 NThe 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?
- 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.9. The boom AC in the figure rests in a ball and socket joint at A and is held in equilibrium by the cables BE and CD. The load applied at C. Determine the coordinates of D in the YZ plane so that the force in CD will be a minimum. Neglect the weight of the boom and cables. Answers: y = 16 ft; z = -34.7 ft 4'1 300 Ib 900 Ib Note: The reaction at ball and socket joint is always represented by thè x, y and z components. ETERThe 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
- Physics 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.)Equilibrium of a particle: ΣF = 0 .. ΣF = 0 and Fy Find the tensions in the two cables which are supporting a load of 10 kg. h = 2.5 m, d₁ = 3.75 m, and d₂ = 3.75 m. Give numeric answers to three significant figures. e) h AC = d₁ BC= α с X W d₂ Substitute the known weight and angles a and B into your equations, then solve them simultaneously to find the tensions in cables AC and BC B -Bहै A ★F B The structure shown above is in static equilibrium. The structure is made of square segments 1.5m on each side. Support A is a pin joint and support B is on rollers. An external force F=150.0 N is applied to the structure. What is the reaction force at B?
- 4. Determine the forces P, F, and T required to keep the triangular frame shown in the figure in A Solution: 2400lbs 4' equilibrium. Required: P, F & T to maintain equilibrium 3' B C 2 m 3600lbs P TDetermine the tensions T1 and T2 in the strings required to maintain equilibrium for the suspended object weighs W = 48.7N shown in the figure. Take, α = 29.4° & β = 47.5°. a) The value of Tension, T1 (N) = b) The value of Tension, T2 (N) =Item 2 Consider the following hanging mass system for the following problems. Before answering the questions below, draw two separate free-body diagrams of ring C and then ring B. Be sure the FBDS are neat a properly labeled. You will turn them in with your written work. (Figure 1) Figure 30° E 45° F 1 of 1 Part A cb Deturmine the tension developed in cable if cylindar E weighs 40 lb and 0= 15°. FCB= Submit ▾ Part B WF = 5 ΑΣΦ 11 vec Submit Request Answer If cylinder E weighs 40 lb and 0 = 15°, determine the weight of cylinder F. Express your answer with the appropriate units. 15. ΑΣΦ ↓↑ vec ? Request Answer ? lb 2 of 5