A person on horseback is on a drawbridge which is at an angle 8 = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is = 7.09 m long and has a mass of 1,920 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,260 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) ITALIH TCHTAI HHUTA (a) Determine the tension in the cable (in N). N (b) Determine the horizontal force component (in N) acting on the bridge at the hinge. magnitude N direction --Select-v O (c) Determine the vertical force component (in N) acting on the bridge at the hinge. magnitude N direction -Select-

A person on horseback is on a drawbridge which is at an angle 8 = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is = 7.09 m long and has a mass of 1,920 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,260 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) ITALIH TCHTAI HHUTA (a) Determine the tension in the cable (in N). N (b) Determine the horizontal force component (in N) acting on the bridge at the hinge. magnitude N direction --Select-v O (c) Determine the vertical force component (in N) acting on the bridge at the hinge. magnitude N direction -Select-

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 73P: A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = = 4.00...

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A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = ℓ. A painter of mass m stands on the ladder a distance d from the bottom. Assuming the floor is frictionless, find (a) the tension in the horizontal bar DE connecting the two halves of the ladder, (b) the normal forces at A and B, and (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately. Figure P10.73 Problems 73 and 74.
A uniform beam resting on two pivots has a length L = 6.00 m and mass M = 90.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot located a distance = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 55.0 kg steps onto the left end of the beam and begins walking to the right as in Figure P10.28. The goal is to find the womans position when the beam begins to tip. (a) What is the appropriate analysis model for the beam before it begins to tip? (b) Sketch a force diagram for the beam, labeling the gravitational and normal forces acting on the beam and placing the woman a distance x to the right of the first pivot, which is the origin. (c) Where is the woman when the normal force n1 is the greatest? (d) What is n1 when the beam is about to tip? (e) Use Equation 10.27 to find the value of n2 when the beam is about to tip. (f) Using the result of part (d) and Equation 10.28, with torques computed around the second pivot, find the womans position x when the beam is about to tip. (g) Check the answer to part (e) by computing torques around the first pivot point. Figure P10.28
A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm above the bottom of the door. The center of mass of the door is at its geometric center, and the weight of the door is 260 N, which is supported equally by both hinges. Find the horizontal force exerted by each hinge on the door.
A person on horseback is on a drawbridge which is at an angle 8 = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is = 7.09 m long and has a mass of 1,960 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,160 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) O PAI ATCA PHI ABOTA QË TH (a) Determine the tension in the cable (in N). 26870 X Draw a diagram of the bridge, with forces and distances clearly labeled. Use your diagram to write the torque equation for rotational equilibrium with rotation axis at the hinge, and solve your equation for T. N (b)…
A person on horseback is on a drawbridge which is at an angle ? = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is ℓ = 7.01 m long and has a mass of 2,020 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,120 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (a) Determine the tension in the cable (in N). (b) Determine the horizontal force component (in N) acting on the bridge at the hinge. (c) Determine the vertical force component (in N) acting on the bridge at the hinge.
A person on horseback is on a drawbridge which is at an angle ? = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is ℓ = 6.89 m long and has a mass of 1,980 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,160 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) a) Determine the tension in the cable (in N). b) Determine the horizontal force component (in N) acting on the bridge at the hinge. c) Determine the vertical force component (in N) acting on the bridge at the hinge.
A person on horseback is on a drawbridge which is at an angle e = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is l = 7.05 m long and has a mass of 1,960 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,240 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Determine the tension in the cable (in N). (b) Determine the horizontal force component (in N) acting on the bridge at the hinge. magnitude N direction to the right v (c) Determine the vertical force component (in N) acting on the bridge at the hinge. magnitude N direction upwards
A 15,000 N crane pivots around a friction-free axle at its base and is supported by a cable making a 25° angle with the crane (see figure below). The crane is 16 m long and is not uniform, its center of gravity being 7.0 m from the axle as measured along the crane. The cable is attached 3.0 m from the upper end of the crane. When the crane is raised to 55° above the horizontal holding an 11,000 N pallet of bricks by a 2.2 m, very light cord, find (a) the tension in the cable and (b) the horizontal and vertical components of the force that the axle exerts on the crane.
A beam that has a mass of 75kg extends from a building making a 48° angle with it. A wire is supporting the beam, it is attached to it 3/5 of the way along the beam. The wire is perindicular to the wall. There is also a sign hanging from the end of the beam with a mass of 14kg. The beams center of mass is 1/4 of the way from the wall to the end of the beam. What are the x and y components of the force that the wall exerts on the beam? create a extended free body diagram. Also label the point on the beam you will use as reference to measure distance.
A person on horseback is on a drawbridge which is at an angle 0 = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.25 m from the end of the bridge. The bridge is f = 9.50 m long and has a mass of 1,950 kg. A cable is attached to the bridge 5.00 m from the frictionless hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,080 kg. Assume the bridge is uniform. Suddenly (and most unfortunately for the horse and rider), the ledge where the bridge usually rests breaks off, and at the same moment the cable snaps and the bridge swings down until it hits the wall. (a) Find the angular acceleration (magnitude, in rad/s2) of the bridge once it starts to move. rad/s2 (b) How long (in s) does the horse and rider stay in contact with the bridge while it swings downward? S (c) Find the angular speed (in rad/s) of the bridge when it strikes the vertical wall below the hinge. rad/s (d) Find the force…
A beam that has a mass of 75kg extends from a building making a 48° angle with it. A wire is supporting the beam, it is attached to it 3/5 of the way along the beam. The wire is perindicular to the wall. There is also a sign hanging from the end of the beam with a mass of 14kg. The beams center of mass is 1/4 of the way from the wall to the end of the beam. What is the tension on the wire?
A person on horseback is on a drawbridge which is at an angle e = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is e = 7.05 m long and has a mass of 1,940 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,240 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Determine the tension in the cable (in N). N (b) Determine the horizontal force component (in N) acting on the bridge at the hinge. magnitude N direction --Select-- v (c) Determine the vertical force component (in N) acting on the bridge at the hinge. magnitude direction -Select--- v HUTA ATH