Physics 12 Equilibrium Problems 1. A 79kg person is standing at the edge of a 22kg diving board. Determine the magnitude and direction of the forces of the two pillars as shown in the diagram. A - 1.60 m- B 5.00 m
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- (a) When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of 0.850m from the hinges. What torque are you exerting relative to the hinges? (b) Does it matter if you push at the same height as the hinges?Which of the following scenarios describe objects in static equilibrium? Check all that apply. A. A book on a desk.B. Orange juice on a shelf in the refrigeratorC. A parked carD. A hockey player skating on iceThe see-saw is balance.d What is the magnitude of the weight of the person hanging off the edge? 4m- 2m. LIST = N 11 WT-500 N
- There are four forces acting on a pole, A = 10i N, B = 20j N, C = -30j N, D = -40i N. What should be the magnitude of force E that must be exerted on the pole to maintain static equilibrium? Note: i and j are unit vectors a. 24.65 N b. 31.62 N c. 46.20 N d. 52.78 N e. No AnswerA 10.2 kg box (Weight = Fg= 100 N) is at one end of a massless board (1.5 m from the fulcrum). a. How much mass (m) do you have to have at the other end (1.5 m from the fulcrum) to get it to balance? b. How much weight (Fg )? c. How hard do you have to push to begin to lift the box?A 4m long board is oriented in the horizontal plane, supported by vertical chains as each end of the board. The board has a uniformly distributed weight 125 N. A 500n person stand on the board. The tension in the right chain is 250 N. How far from the left end of the board is the person sitting? а. 2 m b. 0.4 m с. 3 m O d. 1.5 m O e. 2.5 m
- Figure P8.27. Find the tension in each rope when a 700.-N worker stands 1.00 m from one end? e2cm lon ropes, as indicated by the blue vectors in 27. VA uniform plank of length 2.00 m and mass 30.0 ke by three ropes, as indicated by the blue vectors in supported Figure P8.27. Find the tension in each rope when a 700 N person is d = 0.500 m from the left end. er of gravig fo 12, modeling rethooran 8 B of model 10.26 T, T2 0.250 Theatthe le 40.0° lid or boln vibbud ns bano sdi svode m81 o + d » 3. 2.00 m di In bas rirob be ss gairda Figure P8.27 goil sdrto idgiod oh bail rel 2 00 bou d 28. A hungry bear weighing 700. N walks out on a heam ina. What are the conditions for static equilibrium? b. A 30.0 kg post is supported by two wires as shown. The post is 2.00 m long and a 5.00 kg wreath hangs 1.50 m from one end. Use the conditions for static equilibrium from part (a) to find the tension in each wire. Include a free body diagram as part of your answer.A 5.0-m-long,15-kg level plank is supported by two pivots that are resting on level ground at opposite ends of the plank. A 70-kg construction worker is standing 1.5 from the right pivot. What is the magnitude of the force of the left pivot on the plank? a. 80 N b. 130 N c. 180 N d. 230 N e. 280 N
- A uniform horizontal beam with a length of 8 m and a weight of 200 N is attached to a wall by a pin connection. Its far end is supported by a cable that makes an angle of 53° with the beam. If a 600-N person stands 2 m from the wall. What is the tension in the cable? 53.0% 8.00 m O A. 502 N O B. 410 N O C. 196 N D. None O E. 313 NA uniform horizontal beam with a length of 8 m and a weight of 200 N is attached to a wall by a pin connection. Its far end is supported by a cable that makes an angle of 53° with the beam. If a 600-N person stands 2 m from the wall. What is the tension in the cable? 53.0% 8.00 m OA. 410 N OB. None OC. 313 N D. 196 N E. 502 Ncable 8. A 20 kg uniform beam 10m long is attached to a wall with a cable. The 40.0° cable is attached to the middle of the beam at 90° to the beam. A box box of mass 50 kg is suspended from the beam as shown. 50 0° a. Draw a free body diagram labelling all the forces acting on the beam (include the forces acting on the floor hinge). Choose and label an appropriate pivot point "P". Label all distances from this point. b. Determine the tension in the cable. с. Determine the force acting on the hinge at the bottom.