Vector Mechanics for Engineers: Statics and Dynamics
12th Edition
ISBN: 9781259638091
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 2.4, Problem 2.94P
Knowing that the tension is 510 lb in cable AB and 425 lb in cable AC, determine the magnitude and direction of the resultant of the forces exerted at A by the two cables.
Fig. P2.93 and P2.94
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2.6 A telephone cable is clamped at A to the pole AB. Knowing that the tension in the left-hand portion of the cable is
T2= 1000 lb, determine by trigonometry (a) the required tension T₁ in the right-hand portion if the resultant R of the
forces exerted by the cable at A is to be vertical, (b) the corresponding magnitude of R.
TH
15°
A
B
25°
T₂
Page 27
6
50°
P2.3 and P2.4
2.4 Two structural members B and C are bolted to bracket A. Know-
ing that both members are in tension and that P = 6 kips and
Q = 4 kips, determine graphically the magnitude and direction
of the resultant force exerted on the bracket using (a) the paral-
lelogram law, (b) the triangle rale.
Chapter 2 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 2.1 - Two forces are applied as shown to a hook....Ch. 2.1 - Two forces are applied as shown to a bracket...Ch. 2.1 - Two forces P and Q are applied as shown at point A...Ch. 2.1 - Two forces P and Q are applied as shown at point A...Ch. 2.1 - A stake is being pulled out of the ground by means...Ch. 2.1 - A telephone cable is clamped at A to the pole AB....Ch. 2.1 - A telephone cable is clamped at A to the pole AB....Ch. 2.1 - A disabled automobile is pulled by means of two...Ch. 2.1 - A disabled automobile is pulled by means of two...Ch. 2.1 - Two forces are applied as shown to a hook support....
Ch. 2.1 - A steel tank is to be positioned in an excavation....Ch. 2.1 - A steel tank is to be positioned in an excavation....Ch. 2.1 - A steel tank is to be positioned in an excavation....Ch. 2.1 - For the hook support of Prob. 2.10, determine by...Ch. 2.1 - The barge B is pulled by two tugboats A and C. At...Ch. 2.1 - Solve Prob. 2.1 by trigonometry.Ch. 2.1 - Solve Prob. 2.4 by trigonometry.Ch. 2.1 - For the stake of Prob. 2.5, knowing that the...Ch. 2.1 - Two structural members A and B are bolted to a...Ch. 2.1 - Two structural members A and B are bolted to a...Ch. 2.2 - Determine the x and y components of each of the...Ch. 2.2 - Determine the x and y components of each of die...Ch. 2.2 - Determine the x and y components of each of the...Ch. 2.2 - Determine the x and y components of each of the...Ch. 2.2 - Member BC exerts on member AC a force P directed...Ch. 2.2 - Member BD exerts on member ABC a force P directed...Ch. 2.2 - Prob. 2.27PCh. 2.2 - Cable AC exerts on beam AD a force P directed...Ch. 2.2 - The hydraulic cylinder BD exerts on member ABC a...Ch. 2.2 - The guy wire BD exerts on the telephone pole AC a...Ch. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - Knowing that = 35, determine the resultant of the...Ch. 2.2 - Knowing that the tension in cable BC is 725 N,...Ch. 2.2 - Knowing that = 40, determine the resultant of the...Ch. 2.2 - Knowing that = 75, determine the resultant of the...Ch. 2.2 - PROBLEM 2.39 A collar that can slide on a vertical...Ch. 2.2 - PROBLEM 2.40 For the beam of Problem 2.36,...Ch. 2.2 - PROBLEM 2.41 Determine (a) the required tension in...Ch. 2.2 - PROBLEM 2.42 For the block of Problems 2.37 and...Ch. 2.3 - Two cables are tied together at C and loaded as...Ch. 2.3 - Two forces of magnitude TA = 8 kips and TB = 15...Ch. 2.3 - The 60-lb collar A can slide on a frictionless...Ch. 2.3 - A chairlift has been stopped in the position...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - Two cables are tied together at C and loaded as...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - Prob. 2.47PCh. 2.3 - Knowing that = 20, determine the tension (a) in...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - Prob. 2.51PCh. 2.3 - Two forces P and Q are applied as shown to an...Ch. 2.3 - A welded connection is in equilibrium under the...Ch. 2.3 - A welded connection is in equilibrium under the...Ch. 2.3 - A sailor is being rescued using a boatswains chair...Ch. 2.3 - A sailor is being rescued using a boatswains chair...Ch. 2.3 - For the cables of Prob. 2.44, find the value of ...Ch. 2.3 - For the cables of Prob. 2.46, it is known that the...Ch. 2.3 - For the situation described in Fig. P2.48,...Ch. 2.3 - Two cables tied together at C are loaded as shown....Ch. 2.3 - A movable bin and its contents have a combined...Ch. 2.3 - Prob. 2.62PCh. 2.3 - Collar A is connected as shown to a 50-lb load and...Ch. 2.3 - Collar A is connected as shown to a 50-lb load and...Ch. 2.3 - A cable loop of length 1.5 m is placed around a...Ch. 2.3 - A 200-kg crate is to be supported by the...Ch. 2.3 - A 600-lb crate is supported by several...Ch. 2.3 - Solve parts b and d of Prob. 2.67, assuming that...Ch. 2.3 - A load Q is applied to the pulley C, which can...Ch. 2.3 - An 1800-N load Q is applied to pulley C, which can...Ch. 2.4 - Determine (a) the x, y, and z components of the...Ch. 2.4 - Determine (a) the x, y, and z components of the...Ch. 2.4 - A gun is aimed at a point A located 35 east of...Ch. 2.4 - Solve Prob. 2.73 assuming that point A is located...Ch. 2.4 - The angle between the guy wire AB and the mast is...Ch. 2.4 - The angle between the guy wire AC and the mast is...Ch. 2.4 - Cable AB is 65 ft long, and the tension in that...Ch. 2.4 - PROBLEM 2.78 Cable AC is 70 ft long, and the...Ch. 2.4 - Determine the magnitude and direction of the force...Ch. 2.4 - Determine the magnitude and direction of the force...Ch. 2.4 - Prob. 2.81PCh. 2.4 - Prob. 2.82PCh. 2.4 - Prob. 2.83PCh. 2.4 - A force acts at the origin of a coordinate system...Ch. 2.4 - Two cables BG and BH are attached to frame ACD as...Ch. 2.4 - Two cables BG and BH are attached to frame ACD as...Ch. 2.4 - In order to move a wrecked truck, two cables are...Ch. 2.4 - In order to move a wrecked truck, two cables are...Ch. 2.4 - A rectangular plate is supported by three cables...Ch. 2.4 - A rectangular plate is supported by three cables...Ch. 2.4 - Find the magnitude and direction of the resultant...Ch. 2.4 - Prob. 2.92PCh. 2.4 - Knowing that the tension is 425 lb in cable AB and...Ch. 2.4 - Knowing that the tension is 510 lb in cable AB and...Ch. 2.4 - Prob. 2.95PCh. 2.4 - Prob. 2.96PCh. 2.4 - The boom OA carries a load P and is supported by...Ch. 2.4 - Fig. P2.97 2.98 For the boom and loading of Prob....Ch. 2.5 - Three cables are used to tether a balloon as...Ch. 2.5 - A container of mass m = 120 kg is supported by...Ch. 2.5 - A 150-lb cylinder is supported by two cables AC...Ch. 2.5 - A transmission tower is held by three guy wires...Ch. 2.5 - A container is supported by three cables that are...Ch. 2.5 - A container is supported by three cables that are...Ch. 2.5 - Three cables are used to tether a balloon as...Ch. 2.5 - Three cables are used to tether a balloon as...Ch. 2.5 - A crate is supported by three cables as shown....Ch. 2.5 - A crate is supported by three cables as shown....Ch. 2.5 - A 12-lb circular plate of 7-in. radius is...Ch. 2.5 - Solve Prob. 2.105, knowing that = 45.Ch. 2.5 - Three cables are connected at A, where the forces...Ch. 2.5 - Fig. P2.107 and P2.108 2.108 Three cables are...Ch. 2.5 - Prob. 2.109PCh. 2.5 - A rectangular plate is supported by three cables...Ch. 2.5 - A transmission tower is held by three guy wires...Ch. 2.5 - A transmission tower is held by three guy wires...Ch. 2.5 - In trying to move across a slippery icy surface, a...Ch. 2.5 - Fig. P2.113 2.114 Solve Prob. 2.113 assuming that...Ch. 2.5 - For the rectangular plate of Probs. 2.109 and...Ch. 2.5 - PROBLEM 2.116 For the cable system of Problems...Ch. 2.5 - PROBLEM 2.117 For the cable system of Problems...Ch. 2.5 - Three cables are connected at D, where an upward...Ch. 2.5 - For the transmission tower of Probs. 2.111 and...Ch. 2.5 - Three wires are connected at point D, which is...Ch. 2.5 - A container of weight W is suspended from ring A,...Ch. 2.5 - Prob. 2.122PCh. 2.5 - A container of weight W is suspended from ring A....Ch. 2.5 - Prob. 2.124PCh. 2.5 - Fig. P2.113 2.114 Solve Prob. 2.113 assuming that...Ch. 2.5 - Prob. 2.126PCh. 2 - Two forces P and Q are applied to the lid of a...Ch. 2 - Determine the x and y components of each of the...Ch. 2 - A hoist trolley is subjected to the three forces...Ch. 2 - Knowing that = 55 and that boom AC exerts on pin...Ch. 2 - Two cables are tied together at C and loaded as...Ch. 2 - Two cables tied together at C are loaded as shown....Ch. 2 - The end of the coaxial cable AE is attached to the...Ch. 2 - Prob. 2.134RPCh. 2 - Find the magnitude and direction of the resultant...Ch. 2 - Cable BAC passes through a frictionless ring A and...Ch. 2 - Collars A and B are connected by a 25-in.-lang...Ch. 2 - Fig. P2.137 and P2.138 2.138 Collars A and B are...
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- Page 115 3.41 Ropes AB and BC are two of the ropes used to support a tent. The two ropes are attached to a stake at B. If the tension in rope AB is 540 N, determine (a) the angle between rope AB and the stake, (b) the projection on the stake of the force exerted by rope AB at point B. Fig. P3.41 and P3.42 3 m A 3 m Z B 1.5 m x D 0.38 m 0.08 m. B 0.16 m Detail of the stake at Barrow_forward3.26 A precast concrete wall section is temporarily held by two cables as shown. Knowing that the tension in cable BD is 900 N, determine the moment about point O of the force exerted by the cable at B. Fig. P3.26 M A ᎠᎴ 1 2.5 m. B E 2 m 2 m Xarrow_forwardPROBLEM 2.48 Knowing that a = 55° and that boom AC exerts on pin Ca force directed along line AC, determine (a) the magnitude of that force, (b) the tension in cable BC. 1500 Narrow_forward
- Q.2 A barge shown in Fig.2 is pulled by two tugboats. If the resultant of the forces exerted by the tugboats is a 5000 N force directed along the axis of the barge, determine the tension in each of the ropes knowing that a= 45. (25 Marks) 30 Fig.2arrow_forwardTwo cables BG and BH are attached to frame ACD as shown. Determine the magnitude and direction of the resultant of the forces exerted by the cables at B, knowing that the tension is 555 N in cable BG and 765 N in cable BH. 1.48 m 0.56 m IN G 0.8 m B 0.8 m 1.4 m C H D 1.2 m 1.2 m X N. The magnitude of the resultant of the forces Fis The angle defining the direction of the resultant force exis The angle defining the direction of the resultant force Oy is The angle defining the direction of the resultant force 0₂ is Oarrow_forwardQ1): The cable stays AB and AD help support pole AC. Knowing that the tension is 120 Ib in AB and 40 Ib in AD. Determine the magnitude and the direction of the resultant of the forces exerted by the stays at A. 10 ft В D 8 ft to 6ftarrow_forward
- Determine the moments of Q about (a) point 0; and (b) point C. The magnitude of Q is 100 N.arrow_forwardFig. P2.3 and P2.4 A 20° 35° 2.4 Two forces P and Q are applied as shown at point A of a hook support. Knowing that P = 60 lb and Q = 25 lb, determine graphically the magnitude and direction of their resultant using (a) the parallelogram law, (b) the triangle rule.arrow_forwardBefore the trunk of a large tree is felled, cables AB and BC are attached as shown. Knowing that the tensions in cables AB and BC are 555 N and 660 N, respectively; determine die moment about O of the resultant force exerted on the tree by the cables at B.arrow_forward
- 3.21 Before the trunk of a large tree is felled, cables AB and BC are attached as shown. Knowing that the tensions in cables AB and BC are 555 N and 660 N, respectively, determine the moment about O of the resultant force exerted on the tree by the cables at B. y Fig. P3.21 6 m 0.75 m B C 7m 4.25 m 1 marrow_forwardSolve Prob. 2.4 by trigonometry.(Reference to Problem 2.4):Two structural members B and C are bolted to bracket A . Knowing that both members are in tension and that P = 6 kips and Q = 4 kips, determine graphically the magnitude and direction of the resultant force exerted on the bracket using (a) the parallelogram law, (b) the triangle rule.arrow_forwardB 4.20 с 15.60 2.)Cables AB, AC, and AD are used to tether a balloon. Knowing that the balloon exerts an 900 N vertical force at A, determine the tension in each cable. All dimensions are in meters. D 4.20 3.30 ·X uarrow_forward
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