A woman's car is stuck in the mud, so she uses a rope to connect the front bumper to a pole, and applies a perpendicular force f on the middle of the rope. The two halves of the rope are displaced through a small angle from the straight line between the ends of the rope. (a) Find an expression for the magnitude of the force acting on the car. (Use f and 8 as necessary.) F= (b) Evaluate the tension (in N) in the rope when 8 = 6.95° and f = 110 N. N
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- The distance between two telephone poles is d = 54.0 m. When a 1.20 kg bird lands on the telephone wire midway between the poles, the wire sags h = 0.206 m. (a) Draw a free-body diagram of the midpoint of the wire (where the bird is perched). mg O X* (b) How much tension (in N) does the bird produce in the wire? Ignore the weight of the wire. 3.15 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. N Need Help? Read It(a) Calculate the tension (in N) in a vertical strand of spiderweb if a spider of mass 8.00 x 10¯° kg hangs motionless on it. (Enter a number.) 0.000784 N (b) Calculate the tension (in N) in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in the figure. 5.0° 5.0° T. TR w T. TR The strand sags at an angle of 15.0° below the horizontal. (Enter a number.) 0.046688914 X N Compare this with the tension in the vertical strand (find their ratio). (Enter a number.) (tension in horizontal strand) / (tension in vertical strand) =Two ropes apply a force to a boat. The first is 400 N in the positive x direction, and the second is 200 N in the positive y direction. At what angle must a third rope tension be applied in order to keep the boat at rest
- A 853 N magician (note: this is weight, not mass) is freeing himself from some shackles while suspended above a swimming pool filled with alligators. Two ropes are suspending the magician. The left rope makes an angle of 42 above the horizontal and points up and to the left. The right rope makes an angle of 78 above the horizontal and points up and to the right. Calculate the tension in the left rope, in N. (Please answer to the fourth decimal place - i.e 10.5432)A heavy sled is being pulled by two people, as shown in the figure. The coefficient of static friction between the sled and the ground is H = 0.603, and the kinetic friction coefficient is µ = 0.403. The combined mass of the sled and its load is m = 336 kg. The ropes are separated by an angle o = 25.0°, and they make an angle 0 = 31.1° with the horizontal. Assuming both ropes pull equally hard, what is the minimum rope tension required to get the sled moving? minimum rope tension: If this rope tension is maintained after the sled starts moving, what is the sled's acceleration? m/s2 acceleration:Physics sample problems about vectors. Thought I knew how to do them but keep getting wrong answers.
- A mass M1 = 4.1 kg mass is suspended from the ceiling and a mass M2 = 4.3 kg is suspended under it, as shown. The tensions in the strings are labeled and . A hand exerts an upward force of 22 N on the lower mass mass. Calculate the magnitude of the tension T1The historic Stanley Center for the Arts in Utica, New York is the proud owner of the world’s largest LED chandelier. The chandelier is 35 feet wide, 17 feet tall and has a mass of 2900 kg. It is directly supported by four cables which make an angle of 63° with the horizontal. Determine the tension in the cables.A 20.0 kg box is held at rest by two ropes that form theta=23 degrees angles with the vertical. An external force F is also applied vertically downward on the box. The force exerted by each of the two ropes is denoted by T of magnitude 660 N. A force diagram, showing the four forces that act on the box in equilibrium , is shown in the figure. Use g=10m/s2. What is the magnitude of the external force F (in unit of N) applied on the box?
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