5. In the diagram below there is a sign hanging from a pole. The pole is fixed to the wall at one end, and there is a cable running from the end of the pole up to the wall for added support. What is the minimum tension the cable must support to keep the sign from falling? العلما Mpole hole = 5kg 7m Cable 35° 4M kmsgn = 25 kg
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- 1. 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.A large wrecking ball is held together by two lightweight steel cables. If its mass is 4 090 kg, what is the tension TB in the cable that makes an angle of 40 ° with the vertical? A) 5.23×10 4 NB) 194 NC) 73 ND) 2×10 3 NTwo identical, side-by-side springs with spring constant 240 N/m support a 2.00 kg hanging box. Each spring supports the same weight. By how much is each spring stretched?
- A 2.0-m-long rod has a density in kilograms per meter A = a + bx ,where a = 1.0 kg/m, b = 1.0 k9/m², and x is the distance from the left end of the rod. The rod rests horizontally with each end supported by a scale. The force exerted by the left scales is 39.2 N 22.9 N 16.3 N 4.0 N 32.6 NDirections: Assume, unless otherwise specified, that all numbers have at least 3 significant figures. F (N) Students collect data, see graph, for the force involved in stretching a rubber band. The data is well fit by the equation F = 33.65 x0.4971, 12 10 where F is in newtons and x is in meters. One end of the rubber band is attached to a stationary vertical rod and the other end to a 0.3 kg mass. The mass rests on a frictionless horizontal surface. The mass is pulled back such that the rubber band is stretched by 0.8 m from its unstretched length and then released from rest. 4. x (m) 0,1 0.02 0.04 0.06 0.08 A. What is the speed of the mass after it has traveled 0.4 m? B. What is the maximum speed of the object?A 20 kg dog stands on a 40 kg platform that is supported by two ropes. One rope is attached to the right edge of the platform and the other is attached 50 cm from the left edge of the platform. The dog sits 50 cm from the right edge of the platform. A 5.0 kg cat jumps up, but is wary of the dog abs stays all the way on the left edge. The platform is 2.0 m long. What is the tension in each rope?
- What is the magnitude of force F₁ for equilibrium? 132.6 N 402 N 150 N 300 N 17.7 N 200 N F2 30°f 30° 100 N Z 25 24 F₁ 300 N yPlease help: A 12.8 m ladder whose weight is 200 N is placed against a smooth vertical wall. A person whose weight is 500 N stands on the ladder a distance 2.2 m up the ladder. The ladder makes an angle of 31 degrees with the vertical wall (see figure) Find the normal force exerted by the floor on the ladder.B 60° Figure 3 L A 5. A beam AB of length 10m and negligible mass leans against a wall at an angle of 60° to the horizontal. It is held at B by a string as shown. There is no friction at either of the ends A or B. A koala of mass M = 10 kg climbs up the beam from B. If the breaking tension of the string is 40 N, find the distance reached by the koala just before the string cannot support any more weight and breaks.
- A fence post of mass m = 8 kg supports a fence with three lengths of barbed wire. The bottom wire is a distance d = 0.35 m from the ground and each wire is a distance 0.35 m above the previous one. Each of these three wires has the tension on it. For this problem, assume that the force exerted by these wires is purely horizontal. An additional guy wire is used to keep the pole upright with a tension of Fa = 490 N. The guy wire attaches to the post at a point h = 0.86 m above the ground and makes an angle of θ = 45 with respect to the horizontal. Write an expression for the tension in any one of the three fence wires. What is the normal force that the ground exerts upward on the post?3: #3 4. A 115 kg scaffold is 6.60 m long. It is hanging with two wires, one from each end. A 600 kg box sits 1.70 m from the left end. What is the tension in the right hand side wire?(g = 9.8 m/s²) X 4929 Newtons E D 80 F3 C 5. An object weighing 255 N is supported by a uniform 135 N horizontal beam as shown in the figure. The length of the 4 R F F4 V do 50 % T F5 G ^ 6 B tv MacBook Air Y H & 7 N AA F7 U J * 00 8 M DII F8 1 K DD F9 О F10 P 10 zoom C { + ISOIT P by m 04 M vamies or roe puffer F12 delete 1 EL