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Knocking Over a Post. One end of a post weighing 400 N and with height h rests on a rough horizontal surface with μs = 0.30. The upper end is held by a rope fastened to the surface and making an angle of 36.9° with the post (Fig. P11.90). A horizontal force
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- A bridge of length 50.0 m and mass 8.00 104 kg is supported on a smooth pier at each end as shown in Figure P12.25. A truck of mass 3.00 104 kg is located 15.0 m from one end. What are the forces on the bridge at the points of support? Figure P12.25arrow_forwardAn aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?arrow_forwardA 10.0-kg monkey climbs a uniform ladder with weight 1.20 102 N and length L = 3.00 m as shown in Figure P12.14. The ladder rests against the wall and makes an angle of = 60.0 with the ground. The upper and lower ends of the ladder rest on frictionless surfaces. The lower end is connected to the wall by a horizontal rope that is frayed and can support a maximum tension of only 80.0 N. (a) Draw a force diagram for the ladder. (b) Find the normal force exerted on the bottom of the ladder. (c) Find the tension in the rope when the monkey is two-thirds of the way up the ladder. (d) Find the maximum distance d that the monkey can climb up the ladder before the rope breaks. (e) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem change? What other information would you need to answer parts (c) and (d)? Figure P12.14arrow_forward
- In an emergency situation, a person with a broken forearm ties a strap from his hand to clip on his shoulder as in the figure below. His 1.60-kg forearm remains in a horizontal position and the strap makes an angle of 0 = 53.5° with the horizontal. Assume the forearm is uniform, has a length of e = 0.324 m, assume the biceps muscle is relaxed, and ignore the mass and length of the hand. R (a) Find the tension in the strap. (b) Find the components of the reaction force exerted by the humerus on the forearm. (Assume the positive x-direction is to the right and the positive y-direction is upward.) Ry = N R, = Narrow_forwardIn the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by A4= 2.8 Ag; the Young's moduli of the cylinders are related by Ea= 2.3 Eg. The cylinders had identical lengths before the brick was placed on them. What fraction of the brick's mass is supported (a) by cylinder A and (b) by cylinder B? The horizontal distances between the center of mass of the brick and the centerlines of the cylinders are dafor cylinder A and d; for cylinder B. (c) What is the ratio da/dg? com of brick A (a) Number i Units (b) Number i Units (c) Number i Unitsarrow_forwardChapter 12, Problem 028 GO In the figure, suppose the length L of the uniform bar is 3.1 m and its weight is 240 N. Also, let the block's weight W = 270 N and the angle e = 41°. The wire can withstand a maximum tension of 420 N. (a) What is the maximum possible distance x before the wire breaks? With the block placed at this maximum x, what are the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A? Com (a) Number Units (b) Number Units (c) Number Unitsarrow_forward
- One end of a uniform rod of weight w = 73.5 N and length L = 2.55 m is supported by a cable at an angle of ? = 37.0°above the rod. The other end rests on a small frictionless support and presses into a wall as shown in the figure. Determine the magnitude n of the vertical normal force exerted by the support on the rod and find the magnitude T of the tension in the cable.arrow_forwardA construction worker attempts to lift a uniform beam off the floor and raise it to a vertical position. The beam is 1.88 m long and weighs 490 N. At a certain instant the worker holds the beam momentarily at rest with one end a distance d = 1.02 m above the floor, as shown in the figure, by exerting a force P→ on the beam. (a) What is the magnitude of P→? (b) What is the magnitude of the (net) force of the floor on the beam? (c) What is the minimum value the coefficient of static friction between beam and floor can have in order for the beam not to slip at this instant?arrow_forwardIn the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by A4= 1.6 Ag; the Young's moduli of the cylinders are related by Ea= 2.3 Eg. The cylinders had identical lengths before the brick was placed on them. What fraction of the brick's mass is supported (a) by cylinder A and (b) by cylinder B? The horizontal distances between the center of mass of the brick and the centerlines of the cylinders are dafor cylinder A and dg for cylinder B. (c) What is the ratio da/dg? com of brick A B (a) Number Units (b) Number i Units (c) Number Units > >arrow_forward
- In the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by A4= 1.6 Ag; the Young's moduli of the cylinders are related by EA= 2.3 Eg. The cylinders had identical lengths before the brick was placed on them. What fraction of the brick's mass is supported (a) by cylinder A and (b) by cylinder B? The horizontal distances between the center of mass of the brick and the centerlines of the cylinders are dafor cylinder A and dg for cylinder B. (c) What is the ratio da/dg? da com of brick A В (a) Number i 0.73 Units This answer has no units (b) Number i 0.27 Units This answer has no units (c) Number i 0.37 Units No unitsarrow_forward1 b F2 1 1 FR F1 b. The figure above shows a crane tower on site at the HWY 1 expansion and Stoney Trail extension in NW Calgary. You are a design engineer working for the company supplying cranes for the contractors and you have been asked to evaluate the tower design. The crane tower supporting the pulley is designed so that the resultant force from the cable tension running over the pulley is oriented along the tower axis. Note: The tension in the cable is the same on both sides so ||Fill = ||F2l|| = T.arrow_forwardYour answer is partially correct. The system in the figure is in equilibrium. A concrete block of mass 221 kg hangs from the end of the uniform strut of mass 45.1 kg. For angles = 39.4° and 0 = 55.7°, find (a) the tension T in the cable and the (b) horizontal and (c) vertical components of the force on the strut from the hinge. (a) Number i 98100 (b) Number i (c) Number i T Strut 0 -Hinge Units Units Units N <arrow_forward
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