A uniform plank of length 2.00 m and mass 33.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 685-N person is d = 0.500 m from the left end. N magnitude of T magnitude of T magnitude of T 2.00 m 40.0
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- a) Cables AC and BC are connected to lifting points A & B, and joined together at C as shown in Figure Q1a. The angle = 200 and angle B = 50°. If the tension in each cable is 3.75 KN, calculate the force (F) and the angle a required to maintain point C in static equilibrium. Give your answers for F in kilonewtons (kN) and the angle a in degrees to two decimal places. A 3 F α B OYou are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force F_AL at an angle ϕ relative to the horizontal. The ladder has a length L and makes an angle of θ with respect to the vertical wall. You have a mass, m_Y, and are a horizontal distance x from the wall. The ladder has a mass of m_L. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,m_Y,m_L,θ,ϕ. Then use the following values to get a number for the magnitude of F_AL. θ = 30.3 degrees ϕ = 23.028 degrees x = 1.491 meters L = 7.1 meters m_Y = 86.0 kg m_L = 42.14 kg Find the magnitudes of: F_AL, normal force of the wall on the ladder (N_WL), and normal force of the floor on the ladder (N_FL).A rigid, vertical rod with a mass of 2.7 kg simply rests on the floor and is held in place by static friction. The coefficient of static friction between the rod and the floor is 1/6. The rod also has a wire connected between its top end and the floor, as shown in the figure. A horizontal force F is applied at the midpoint of the rod. F Æ 45° Find the greatest force F that can be applied at the midpoint of the rod without causing it to slip. N
- A light is suspended using two support struts: AB and CB. If the mass of the light fitting W is 40kg, determine the tension in support struts FAB 50° B W kg FCB 45° D FAB310.5 NFCB 150.7 N FAB=278.5 N; FCB=253.2 N FAB 150.4N; FCB=245.3 N FAB378.5N; FCB=353.2 NPlease help!A uniform plank of length 2.00 m and mass 29.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 685–N person is d = 0.500 m from the left end. magnitude of T1 = magnitude of T2 = magnitude of T3 =
- T, T 45° 60° 200 N The diagram shows a mass of force 200N held in place between two parallel vertical walls . A cable of tension T¡ at 45° above the horizontal is placed at one end and a second cable of tension T, at 60° above the horizontal is placed at the other end. The system is in equilibrium. Find the values of T, and T, (to the nearest whole numbers).A uniform 50-kg scaffold of length 7.0 m is supported by two light cables, as shown below. A 61-kg painter stands 1.0 m from the left end of the scaffold, and his paint bucket is 1.5 m from the right end. If the tension in the left cable is twice that in the right cable, find the tensions in the cables and the mass of the bucket. m bucket = kg T (left) = N T (right) = N1. The figure shows a horizontal steel beam with mass M = 500 kg and length L = 2.0 m held against a vertical wall by a taut cable with 0 = 60°. A ball with mass m = 200 kg is attached via a short cable at a distance x 1.5 m from the wall. = a. Draw an extended force diagram for the steel beam, drawing the direction of the forces and the location of the forces acting on the beam. Ꮎ X m b. Using the contact point between the wall and the beam as your pivot point for torque calculations, balance the torques created by all the forces acting on the beam to determine the magnitude of the tension force that the cable exerts on the beam. C. Balance the forces in the x- and y-directions to determine the x- and y-components of the force that the wall exerts on the beam.
- An object is subjected to three forces as shown in the figure. Assume F1 = 50.0 N and F2 = 95.0 N, what is T if the object is in static equilibrium? Enter a number with three significant digits.Forces F₁, F₂, and F 2 3 act on the structure shown below, at an overhead view. We wish to put the structure in equilibrium by applying a fourth force, at a point such as P. The fourth force has vector components an We are given that a = 2.9 m, b = 3.4 m, c = 1.3 m, F₁ = 21 N, and F F2= 12 N, and F3 = 6.4 N. (a) Find F 47 F (b) Find F. (c) Find d. N N E a VIn the figure, a horizontal scaffold, of length 2.26 m and uniform mass 59.9 kg, is suspended from a building by two cables. The scaffold has dozens of paint cans stacked on it at various points. The total mass of the paint cans in 79.9 kg. The tension in the cable at the right is 739 N. How far horizontally from that cable is the center of mass of the system of paint cans? Number i Units m