Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137488179
Author: Douglas Giancoli
Publisher: PEARSON+
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A uniform 8.00 m, 1500 kg beam is hinged to a wall and supported by a thin cable attached 2.00 m from the free end of the beam. The beam is fixed to the wall at an angle of 30 degrees above the horizontal. The angle between the cable and the beam is 40 degrees. What are the unknowns?
-direction of tension in the cable
-direction of the hinge force
-magnitude of rhe tension in the cable
-magnitude of the hinge force
-
5. Two identical, uniform beams of length 3 m and weighing 260 N each are
connected at one end by a frictionless hinge. A light horizontal crossbar, attached at the
midpoints of the beams maintains an angle 50° between the beams. The beams are
suspended from the ceiling by vertical wires so they form a V. See figure. (a) What force
does the crossbar exert on each beam? (b) Is the crossbar under compression or tension,
i.e. are the ends of the crossbar being pushed together or stretched farther apart? (c) What
force (magnitude and direction) does the hinge exert on each beam?
Crossbar
Hinge
A diver stands on a diving board with a length of 4.5 m. The diving board is supported by two pedestals which are 1.5 m apart. If the diver's weight is 590, determine the force exerted on the left pedestal by the board. Use positive = up for a sign convention and ignore the weight of the diving board.
Chapter 12 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
Ch. 12.1 - Prob. 1AECh. 12.2 - We did not need to use the force equation to solve...Ch. 12.2 - CHAPTER-OPENING QUESTIONGuess Now! The diving...Ch. 12.2 - Why is it reasonable to ignore friction along the...Ch. 12.3 - Prob. 1EECh. 12.5 - Two steel wires have the same length and are under...Ch. 12 - Describe several situations in which an object is...Ch. 12 - A bungee jumper momentarily comes to rest at the...Ch. 12 - Prob. 3QCh. 12 - Your doctors scale has arms on which weights slide...
Ch. 12 - A ground retaining wall is shown in Fig. 1240a....Ch. 12 - Can the sum of the torques on an object be zero...Ch. 12 - A ladder, leaning against a wall, makes a 60 angle...Ch. 12 - Prob. 8QCh. 12 - Prob. 9QCh. 12 - Place yourself facing the edge of an open door....Ch. 12 - Prob. 11QCh. 12 - Prob. 12QCh. 12 - Prob. 13QCh. 12 - Which of the configurations of brick, (a) or (b)...Ch. 12 - Is the Youngs modulus for a bungee cord smaller or...Ch. 12 - Examine how a pair of scissors or shears cuts...Ch. 12 - Materials such as ordinary concrete and stone are...Ch. 12 - Prob. 1MCQCh. 12 - Prob. 2MCQCh. 12 - Prob. 3MCQCh. 12 - Prob. 4MCQCh. 12 - Prob. 5MCQCh. 12 - Prob. 6MCQCh. 12 - Prob. 7MCQCh. 12 - Prob. 8MCQCh. 12 - Prob. 9MCQCh. 12 - Prob. 10MCQCh. 12 - Prob. 11MCQCh. 12 - (I) A tower crane (Fig. 1248a) must always be...Ch. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - (II) Calculate the forces FA and FB that the...Ch. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - (II) Find the tension in the two wires supporting...Ch. 12 - Prob. 12PCh. 12 - (II) The force required to pull the cork out of...Ch. 12 - Prob. 14PCh. 12 - (II) Three children are trying to balance on a...Ch. 12 - Prob. 16PCh. 12 - (II) A traffic light hangs from a pole as shown in...Ch. 12 - Prob. 18PCh. 12 - Prob. 19PCh. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - (III) A door 2.30 m high and 1.30 m wide has a...Ch. 12 - Prob. 25PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - (III) A uniform ladder of mass m and length leans...Ch. 12 - (III) A refrigerator is approximately a uniform...Ch. 12 - (III) A 56.0-kg person stands 2.0 m from the...Ch. 12 - Prob. 31PCh. 12 - Prob. 33PCh. 12 - Prob. 34PCh. 12 - Prob. 35PCh. 12 - Prob. 36PCh. 12 - Prob. 37PCh. 12 - Prob. 38PCh. 12 - Prob. 39PCh. 12 - Prob. 40PCh. 12 - (I) A sign (mass 1700 kg) hangs from the end of a...Ch. 12 - Prob. 42PCh. 12 - (II) How much pressure is needed to compress the...Ch. 12 - (II) At depths of 2000 m in the sea, the pressure...Ch. 12 - Prob. 45PCh. 12 - (I) The femur bone in the human leg has a minimum...Ch. 12 - Prob. 47PCh. 12 - (II) (a) What is the maximum tension possible in a...Ch. 12 - (II) If a compressive force of 3.3 104 N is...Ch. 12 - Prob. 50PCh. 12 - (II) Assume the supports of the uniform cantilever...Ch. 12 - Prob. 52PCh. 12 - Prob. 53PCh. 12 - Prob. 54PCh. 12 - Prob. 55PCh. 12 - (III) The truss shown in Fig. 1272 supports a...Ch. 12 - (II) How high must a pointed arch be if it is to...Ch. 12 - Prob. 60GPCh. 12 - A cube of side l rests on a rough floor. It is...Ch. 12 - Prob. 62GPCh. 12 - When a wood shelf of mass 6.6 kg is fastened...Ch. 12 - Prob. 64GPCh. 12 - Prob. 67GPCh. 12 - The mobile in Fig. 1274 is in equilibrium. Object...Ch. 12 - A 65.0-kg painter is on a uniform 25-kg scaffold...Ch. 12 - Prob. 70GPCh. 12 - Prob. 73GPCh. 12 - Prob. 74GPCh. 12 - Prob. 76GPCh. 12 - Prob. 77GPCh. 12 - Prob. 78GPCh. 12 - Prob. 79GPCh. 12 - Parachutists whose chutes have failed to open have...Ch. 12 - Prob. 81GPCh. 12 - One rod of the square frame shown in Fig. 1295...Ch. 12 - A uniform beam of mass M and length l is mounted...Ch. 12 - Prob. 84GPCh. 12 - A uniform 6.0-m-long ladder of mass 16.0 kg leans...Ch. 12 - In Fig. 1279, consider the right-hand...Ch. 12 - Assume that a single-span suspension bridge such...Ch. 12 - A uniform sphere of weight mg and radius r0 is...Ch. 12 - A uniform ladder of mass m and length leans at an...Ch. 12 - Prob. 90GPCh. 12 - Prob. 91GPCh. 12 - A 23-kg sphere rests between two smooth planes as...Ch. 12 - Prob. 93GPCh. 12 - Prob. 94GPCh. 12 - Prob. 95GP
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- A uniform horizontal strut weighs 400.0 N. One end of the strut is attached to a hinged support the wall and the other end of the strut is attached to a sign that weighs 200.0 N The strut is also supported by a cable attached between the end of the strut and the wall. Assuming that the entire weight of the sign is attached at the very end of the s find the tension in the cable and the force at the hinge of the strut.arrow_forwardIn Example 14.3, we found that one of the steel cables supporting an airplane at the Udvar-Hazy Center was under a tension of 9.30 103 N. Assume the cable has a diameter of 2.30 era and an initial length of 8.00 m before the plane is suspended on the cable. How much longer is the cable when the plane is suspended on it?arrow_forwardIn the What If? section of Example 12.2, let d represent the distance in meters between the person and the hinge at the left end of the beam. (a) Show that the cable tension is given by T = 93.9d + 125, with T in newtons. (b) Show that the direction angle of the hinge force is described by tan=(323d+41)tan53.0 (c) Show that the magnitude of the hinge force is given by R=8.82103d29.65104d+4.96105 (d) Describe how the changes in T, , and R as d increases differ from one another.arrow_forward
- Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a wall with a hinge pin. The other end is supported by a cable making the angles shown in Figure P14.33. Find the tension in the cable. FIGURE P14.33 Problems 33 and 34.arrow_forwardCheck Your Understanding A 400.0-N sign hangs from the end of a uniform strut. The strut is 4.0 m long and weighs 600.0 N. The strut is supported by a hinge at the wall and by a cable whose other end is tied to the wall at a point 3.0 m above the left end of the strut. Find the tension in the supporting cable and the force of the hinge on the strut.arrow_forwardA uniform ladder of length L and mass m1 rests against a frictionless wall. The ladder makes an angle with the horizontal. (a) Find the horizontal and vertical forces the ground exerts on the base of the ladder when a firefighter of mass m2 has climbed a distance x along the ladder from the bottom. (b) If the ladder is just on the verge of slipping when the firefighter is a distance d along the ladder from the bottom, what is the coefficient of static friction between ladder and ground?arrow_forward
- Two men are carrying a ladder of length l by supporting it at its ends. The ladder is horizontal, and its center of gravity is 1/4 of the way from one end. At what distance x from this end must a can of paint, of mass 3/4 of that of the ladder, be suspended so that the men carry equal loads?arrow_forwardOne 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 metal rod of mass M = 6 kg and length L = 0.5 m, is attached at one end by a hinge to a vertical wall. It is initially supported at the other end so that it is in static equilibrium and lies horizontally. (a) (i) Determine the magnitude and direction of the force on the bar due to the support. (ii) Determine the magnitude and direction of the force on the bar due to the hinge. (b) Show that the moment of inertia of the bar about the end that is attached to the wall is IH = 0.5 kg m2 (c) The support is removed and the bar swings down about the end attached to the hinge. What is the acceleration of a point on the end of the rod just after the support is removed (at this instant the acceleration vector will point directly down)? Give your result in terms of g.arrow_forward
- . A carpenter and his assistant are to carry a uniform wooden beam, which is 6 m long and weighs 100 kg, on their shoulders. Both men are of the same height so that the beam is carried horizontally. However, the carpenter is the stronger of the two and wishes to bear 50% more of the weight of the beam than his assistant. If one end of the beam is placed on the assistant's shoulder, how far from the other end of the beam should the carpenter put his shoulder? [71arrow_forwardAs part of an engineering design, a load of mass M2=10 kg is to be suspended from the far end of a beam of mass M1=8kg. A horizontal cable supporting the beam attaches to the beam at a distance of d=2m from a joint/hinge. The length of the beam is L=7m. The beam makes an angle of 55 degrees with the horizontal. M, 2 a. What magnitude of force should the cable be able to withstand in this setup? b. What magnitude of force should the joint/hinge be able to withstand in this setup?arrow_forwardQuestion 23 of 32 The bones of the forearm (radius and ulna) are hinged to the humerus at the elbow. The biceps muscle connects to the bones of the forearm about 2.15 cm beyond the joint. Biceps muscle Assume the forearm has a mass of 2.15 kg and a length of 0.405 m. When the humerus and the biceps are nearly vertical and the forearm is horizontal, if a person wishes to Humerus- hold an object of mass 4.95 kg so that her forearm remains motionless, what is the force exerted by the biceps muscle? Radius M Elbow- Ulna force: Hand about us privacy policy terms of use contact us help careers tv W MacBook Air 8628-1arrow_forward
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