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You have been hired as an expert witness in a case involving an injury in a factory. The attorney who hired you represents the injured worker. The worker was told to lift one end of a long, heavy crate that was lying horizontally on the floor and tilt it up so that it is standing on end. He began lifting the end of the crate, always applying a force that was perpendicular to the top of the crate. As the end of the crate got higher, at a certain angle, the bottom of the crate slipped on the floor, and the worker, in trying to recover, stepped forward and the crate landed on his foot, injuring it badly. As part of your investigation, you go to the factory and measure the coefficient of static friction between a crate and the smooth concrete floor. You find it to be 0.340. Prepare an argument for the attorney showing that it was impossible to lift the crate in the manner described without it slipping on the floor.
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Chapter 12 Solutions
Physics for Scientists and Engineers
- A wrecking ball (weight = 5670 N) is supported by a boom, which may be assumed to be uniform and has a weight of 2760 N. As the drawing shows, a support cable runs from the top of the boom to the tractor. The angle between the support cable and the horizontal is 32°, and the angle between the boom and the horizontal is 48°. Find (a) the tension in the support cable and (b) the magnitude of the force exerted on the lower end of the boom by the hinge at point P. (a) Number (b) Number Mk Support, cable Units Units N N 48 Boomarrow_forwardThe figure below shows a bird feeder that weighs 187.1 N. The feeder is supported by a vertical wire, which is in turn tied to two wires, each of which is attached to a horizontal support. The left wire makes a 60° angle with the support, while the right wire makes a 30° angle. What is the tension in each wire (in N)? A bird feeder is suspended from a vertical wire. The top of the wire is tied to two other wires. The left and right wires go up and to the left and up and to the right, respectively, from the connection point to a horizontal support. The left wire makes an angle of 60° with the support. The right wire makes an angle of 30° with the support. left wire Nright wire Nbottom wire Narrow_forwardEquilibrium: The mobile shown in the figure is perfectly balanced, and the horizontal supports have insignificant masses. What must be the masses of the suspended objects m 1, m 2, and m 3 to maintain balance? m 1, m 2, m 3=arrow_forward
- You have a summer job working downtown washing windows on skyscrapers (the pay is great and so are the medical benefits). The platform you and your partner are using to get to the windows is a meter wide and four meters long. You know from hauling the platform out of your truck countless times that it has a mass of 70 kg. It is supported by two cables, one at each end, mounted on-center to prevent the platform from tipping over as it is pulled up the side of the building at a constant speed. If you (mass of 55 kg) are standing on the platform 1 meter from one cable while your partner (mass of 87 kg) is 1.3 meters from the other cable and both of you are half a meter from the side, what is the tension in each cable? Assume the platform has a uniform mass distribution and is of negligible thickness.arrow_forwardYou 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).arrow_forwardNeeds Complete solution.arrow_forward
- Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the door. One child pushes with a force of 185 N at a distance of 0.600 m from the hinges, and the second pushes at a distance of 0.400 m. What force (in N) must the second exert to keep the door from moving? Assume friction is negligible.arrow_forwardThe figure below shows a bird feeder that weighs 177.7 N. The feeder is supported by a vertical wire, which is in turn tied to two wires, each of which is attached to a horizontal support. The left wire makes a 60° angle with the support, while the right wire makes a 30° angle. What is the tension in each wire (in N)? left wire= ? N right wire= ?N bottom wire= ?Narrow_forwardA 24 kg rectangular 4.00 m x 3.00 m rectangular sign is suspended from a horizontal 6.00 m long rod with a 5 kg mass as indicated in the figure. The left end of the rod is supported by a hinge, and the right end is supported by a thin cable making a 30.0° angle with the vertical. Draw a free body diagram and calculate the tension T in the cable. The thin cable breaks if it is pulled by more than 200 N. Show than in the present situation the cable can not support the sign without breaking. Show the cable is able to support the load if it is attached higher up such that it makes an angle of 20.0° angle S0.0 CE CREAM SHOP with the vertical.arrow_forward
- A woman who weighs 5.00 x 102 Nis leaning against a smooth vertical wall, as the drawing shows. Find (a) the force FN(directed perpendicular to the wall) exerted on her shoulders by the wall and the (b) horizontal (F2) and (c) vertical components of the force (F1) exerted on her shoes by the ground. F1 and F2 are the two additional forces acting at the feet of the woman F1 F2 1.10 m 60.0 0.400m m Tip: Draw the free-body diagram with the three forces and get the Fnet = 0 along x and y, then get the net torque Tnet=0 with the pivot at the feet. You will get three equations.arrow_forwardThe truss structure in a Figure Q4a is supported at A and B and has three forces acting vertically at nodes D, E and C, where F₁ = 25 KN, F2 = 75 kN and F3 = 35 kN. The horizontal distance between nodes A and B is d₁= 3.50 m and the horizontal distance between nodes B and C is d₂= 3.50 m. The angle a = = 60°, B = 60° and angle 0 = 30°. α F1₁ d1 3 IB * F2 E d2 Ꮎ F3 с Figure Q4a a) Determine the reactions at RA and Rc and A and C. Give your answers in kilonewtons (kN) to two decimal places. b) Determine the force acting in member AB and clearly state if the member is in compression or tension. Give your answer in kilonewtons (kN) to two decimal places.arrow_forwardA 2.0-m-long rod has a density in kilograms per meter A = a + bx , where a = 1.0 kg/m, b = 1.0 kg/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 Narrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning