Explanation Given information: The force ( P ) is 500 N. The force ( Q ) is 200 N. The tension ( T ) in the rope AC is 365 N. The length ( L ) of the rope is 1460 mm. The length of BC is 1100 mm. The length of AB is 960 mm. Calculation: Show the free body diagram as in Figure 1: Consider force in the rope AC : Calculate the x component ( F x ) A C of force using the relation: ( F x ) A C = − T A B L Substitute 365 N for T , 960 mm for AB and 1460 mm for L . ( F x ) A C = − 365 × 960 1460 = − 240 N Calculate the y component ( F y ) A C of force using the relation: ( F y ) A C = − T B C L Substitute 365 N for T , 1100 mm for BC and 1460 mm for L . ( F y ) A C = − ( 365 ) 1100 1460 = − 275 N Consider the force as 500 N: Calculate the x component ( F x ) 500 of force using the relation: ( F x ) 500 = P 24 25 Substitute 500 N for P . ( F x ) 500 = 500 × 24 25 = 480 N Calculate the y component ( F y ) 500 of force using the relation: ( F y ) 500 = P 7 25 Substitute 500 N for P . ( F y ) 500 = 500 × 7 25 = 140 N Consider the force as 200 N: Calculate the x component ( F x ) 200 of force using the relation: ( F x ) 200 = Q 4 5 Substitute 200 N for Q . ( F x ) 200 = 200 × 4 5 = 160 N Calculate the y component ( F y ) 200 of force using the relation: ( F y ) 200 = − Q 3 5 Substitute 200 N for Q . ( F y ) 200 = − ( 200 ) 3 5 = − 120 N Calculate the sum of x component force ( R x ) using the relation: R x = ( F x ) A C + ( F x ) 500 + ( F x ) 200 Substitute − 240 N for ( F x ) A C , 480 N for ( F x ) 500 and 160 N for ( F x ) 200

Vector Mechanics for Engineers: Statics, 11th Edition

11th Edition

ISBN: 9780077687304

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek

Publisher: McGraw-Hill Education

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Chapter 2.2, Problem 2.36P

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The resultant (R) of the three forces exerted at point C of post BC.

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Chapter 2.2, Problem 2.35P

Chapter 2.2, Problem 2.37P

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Chapter 2 Solutions

Vector Mechanics for Engineers: Statics, 11th Edition

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. 2.3P Ch. 2.1 - Prob. 2.4P 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 - Prob. 2.15P 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 - Prob. 2.19P Ch. 2.1 - Prob. 2.20P 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. 2.23P Ch. 2.2 - 2.23 and 2.24 Determine the x and y components of...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 - The hydraulic cylinder BC exerts cm member AB a...Ch. 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 - Prob. 2.36P 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 - Prob. 2.39P Ch. 2.2 - Prob. 2.40P 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 - Prob. 2.45P Ch. 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. 2.51P Ch. 2.3 - 2.52 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 - 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 - Free-Body Diagram...Ch. 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 - 2.65 Three forces are applied to a bracket as...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 - Prob. 2.71P Ch. 2.4 - Prob. 2.72P 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. 2.75P Ch. 2.4 - Prob. 2.76P 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 - Prob. 2.79P Ch. 2.4 - Prob. 2.80P Ch. 2.4 - 2.81 A force acts at the origin of a coordinate...Ch. 2.4 - A force acts at the origin of a coordinate system...Ch. 2.4 - A force F of magnitude 210 N acts at the origin of...Ch. 2.4 - Prob. 2.84P Ch. 2.4 - 2.85 A frame ABC is supported in part by cable DBE...Ch. 2.4 - Prob. 2.86P 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 - Find the magnitude and direction of the resultant...Ch. 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. 2.95P Ch. 2.4 - For the plate of Prob. 2.89; determine the...Ch. 2.4 - The boom OA carries a load P and is supported by...Ch. 2.4 - Prob. 2.98P 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. 2.103P Ch. 2.5 - Prob. 2.104P Ch. 2.5 - Prob. 2.105P Ch. 2.5 - Prob. 2.106P 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 - A rectangular plate is supported by three cables...Ch. 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. 2.118P Ch. 2.5 - Prob. 2.119P 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 - Knowing that the tension in cable AC of the system...Ch. 2.5 - Prob. 2.123P Ch. 2.5 - Prob. 2.124P Ch. 2.5 - Fig. P2.113 2.114 Solve Prob. 2.113 assuming that...Ch. 2.5 - Prob. 2.126P Ch. 2 - Prob. 2.127RP Ch. 2 - Prob. 2.128RP 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 - Knowing that the tension in cable AC is 2130 N,...Ch. 2 - Find the magnitude and direction of the resultant...Ch. 2 - Prob. 2.136RP 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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The resultant ( R ) of the three forces exerted at point C of post BC .

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Chapter 2 Solutions