Vector Mechanics for Engineers: Statics and Dynamics
11th Edition
ISBN: 9780073398242
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Chapter 2, Problem 2.134RP
To determine
The components of force exerted on plate
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PROBLEM 2.89
A rectangular plate is supported by three cables as
shown. Knowing that the tension in cable AB is 408 N,
determine the components of the force exerted on the
plate at B.
480
250
360
130
320
360
450
C
Fx = 192 kN, Fy= 288 kN, Fz = - 216 kN
Dimensions in mm
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.2
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 - Prob. 2.3PCh. 2.1 - Prob. 2.4PCh. 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 - Prob. 2.15PCh. 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 - 2.19 Two forces P and Q are applied to the lid of...Ch. 2.1 - 2.20 Two forces P and Q are applied to the lid of...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 - Prob. 2.23PCh. 2.2 - Prob. 2.24PCh. 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 - 2.36 Knowing that the tension in rope AC is 365 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 - 2.39 For the collar of Prob. 2.35, determine (a)...Ch. 2.2 - Prob. 2.40PCh. 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 - Prob. 2.45PCh. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - 2 .47 Two cables are tied together at C and are...Ch. 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 - 2.52 Two forces P and Q arc 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 - 2 .60 Two cables tied together at C are loaded as...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 - Prob. 2.65PCh. 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 - 2.71 Determine (a) the x, y, and z components of...Ch. 2.4 - 2. 72 Determine (a) the x, y, and z components of...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 - Prob. 2.75PCh. 2.4 - Prob. 2.76PCh. 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 - Prob. 2.79PCh. 2.4 - Prob. 2.80PCh. 2.4 - Prob. 2.81PCh. 2.4 - Prob. 2.82PCh. 2.4 - Prob. 2.83PCh. 2.4 - Prob. 2.84PCh. 2.4 - 2.85 A frame ABC is supported in part by cable DBE...Ch. 2.4 - Prob. 2.86PCh. 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 - Prob. 2.103PCh. 2.5 - Prob. 2.104PCh. 2.5 - Prob. 2.105PCh. 2.5 - Prob. 2.106PCh. 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 - Prob. 2.118PCh. 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 - Prob. 2.123PCh. 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 - Prob. 2.127RPCh. 2 - Prob. 2.128RPCh. 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 - Prob. 2.136RPCh. 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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- 1.105 A 10-ft boom is acted upon by the 840-lb force shown. Determine the tension in each cable and the reaction at the ball-and-socket joint at A. 6 ft 6ft B 7 ft 6 t. C 4 ft 840 lb Fig. P4.105arrow_forwardQ4. Determine the magnitude and direction of the resultant of the forces exerted by the cables at B knowing that the tension is 540N in cable BG and 750N in cable BH. 1.48 m 0.56 m G 0.8 m. B 0 0.8 m 1.4 m C H D 1.2 m 1.2 marrow_forward3.112 Pulleys A and B are mounted on bracket CDEF. The tension on each side of the two belts is as shown. Replace the four forces with a single equivalent force, and determine where its line of action intersects the bottom edge of the bracket. Fig. P3.112 A 2 in. LE F 1 in. r = 2 in. r= 1 in. 6 in.- 120 lb A -6 in. 160 lb B D E 4 in. 210 lb $25° -150 lb $25°arrow_forward
- PROBLEM 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_forwardQ3. 1.48 m 0.56 m G 0.8 m. B 0.8 m 1.4 m H O 1.2m 1.2 m Two cables BG and BH are attached to frame ACD as shown. Knowing that the tension in cable BG is 540 N, determine the components of the force exerted by cable BG on the frame at B.arrow_forward1.Referring to the figure below, knowing that a = 20", determine the tension in (a) in cable AC. (b) in горе ВС. 1200 Ib 2. Referring to the block below, determine (a) the required value of a if the resultant of the three forces shown is to be parallel to the incline, (b) the corresponding magnitude of the resultant. 3. A transmission tower shown below, is heid by three guy wires anchored by bolts at 8, C, and D. (a) If the tension in wire AB is 525 Ib, determine the components of the force exerted by the wire on the bolt at 8. (b) A transmission tower is held by three guy wires anchored by bolts at 8, C, and D. If the tension in wire AD is 315 Ib, determine the components of the force exerted by the wire on the bolt at D. 100 t 20 25 20 60arrow_forward
- For the cables of Prob. 2.46, it is known that the maximum allowable tension is 600 N in cable AC and 750 N in cable BC . Determine (a) the maximum force P that can be applied at C, (b) the corresponding value of a.(Reference to Problem 2.46):Two cables are tied together at C and are loaded as shown. Knowing that P = 500 N and a = 60°, determine the tension in (a) in cable AC, (b) in cable BC.arrow_forwardPage 117 3.53 A farmer uses cables and winch pullers B and E to plumb one side of a small barn. If it is known that the sum of the moments about the x axis of the forces exerted by the cables on the barn at points A and D is equal to 4728 lb-ft, determine the magnitude of TDE when TAB = 255 lb. Fig. P3.53 E 1 ft B A 12 ft 1.5 ft 14 ft E F 12 ft Xarrow_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
- Fig. P2.133 36 2,134 Knowing that the tension in cable ACarrow_forwardA farmer uses cables and winch pullers B and E to plumb one side of a small barn. If it is known that the sum of the moments about the x-axis of the forces exerted by the cables on the barn at Points A and D is equal to 4728 lb-ft, determine the tension in cable DF when the tension in cable AB is 306 lb. 12 ft 1.5 14 ft 12 ftarrow_forward2.66 A 200-kg crate is to be supported by the rope-and-pulley arrangement shown. Determine the magnitude and direction of the force P that must be exerted on the free end of the rope to maintain equilibrium. [Hint: The tension in the rope is the same on each side of a simple pulley. This can be proved by the methods of Chap. 4.] 0.75 m 2.4 m B P αarrow_forward
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