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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Textbook Question
Chapter 2.2, Problem 2.31P
Determine the resultant of the three forces of Prob. 2.21.
Fig. P2.21
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2.86 Replace the two forces shown by a force-couple system with the force
acting at O.
A
90 lb
9 in.
12 in.
30⁰
Fig. P2.86
X
B
50 lb
2.6 The forces R- 110 lb, R- 200 lb, and B- 150 Ib are equivalent to a
single force R. Determine (a) the magnitude of R; and (b) the coordinates of the
point where the line of action of R crosses the yz-plane.
3.71 Two 60-N forces are applied as shown to the corners A and C of a 200-mm square plate. Determine the moment of the couple
formed by the two forces (a) by multiplying their magnitude by their perpendicular distance, (b) by resolving each force into
horizontal and vertical components and adding the moments of the two resulting couples.
Fig. P3.71
200 mm
60 N
D
60°
A
-200 mm
60°
B
60 N
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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- Q2.3: A force F of magnitude 60 N is applied to the gear. Determine the moment of Fabout point O. 100 mmarrow_forwardPROBLEM 2.7 A trolley that moves along a horizontal beam is acted upon by two forces as shown. Determine by trigonometry the magnitude and direction of the 15° force P so that the resultant is a vertical force of 2500 N. 1600 N Parrow_forwardThree horizontal forces are applied as shown to a vertical cast-iron arm. Determine the resultant of the forces and the distance from the ground to its line of action when (a) P= 200 N, (b) P= 2400 N, (c) P = 1000 N.arrow_forward
- 3.114 A couple of magnitude M = 80. lb in. and the three forces shown are applied to an angle bracket. (a) Find the resultant of this system of forces. (b) Locate the points where the line of action of the resultant intersects line AB and line BC. M 10 lb - 12 in. 25 lb 60° 8 in. 40 lbarrow_forward4. Two members of a truss apply the forces shown to the gusset plate. a. If the Resultant of these forces is horizontal, determine P. b. Knowing that P = 12,200 lb, determine the resultant of these forces. 8000 lb 65° 35° Parrow_forwardHow does the j-unit vector of vector DH get -21?arrow_forward
- Situation 2: A force system is shown below: 4. Which of the following most nearly gives the magnitude of the vertical component of the resultant? a. 191.28 kN c. 188.42 kN 5. Which of the following most nearly gives the magnitude of the resultant? 300 KN b. 191.25 kN d. 190.12 kN 250 KN b. 270.49 kN d. 269.69 kN a. 266.47 kN c. 273.90 kN 6. Which of the following mot nearly gives the direction of the resultant? a. 44.83° N of E b. 44.83° S of E d. 44.83° E of S c. 4.83° E of N 360 KN 280 Narrow_forward3.62 The force and couple shown are to be replaced by an equivalent single force. Determine the required value of a so that the line of action of the single equivalent force will pass through point B. 120 N 100 mm C D P3.62, P3.63 B 960 N a 120 N Harrow_forward2.81 The steering column of the rack-and-pinion steering mechanism lies in the z-plane. The tube AB of the steering gear is attached to the automobile chassis at A and B. When the steering wheel is turned, the assembly is subjected to the four couples shown: the 3-N - m couple applied by the driver to the steering wheel, two 1.8-N - m couples (one at each wheel), and the couple formed by the two forces of magnitude Facting at A and B. If the resultant couple acting on the steering mechanism is zero, determine Fand the angle e (the magnitude and direction of the bearing reactions). 3N-m 360 mm 1.8N-m 1.8 N-m Figure P2.81arrow_forward
- Problem 2. 3.19 The overhead electric hoist C rides along a track on the horizontal beam AB. In addition to the 500-kN vertical force carried by the hoist, the beam also supports the three vertical forces shown. (a) If x = 5 m, determine the resultant of the four forces carried by the beam. (b) Determine the distance x for which the resultant of the four forces would act at the center of the span AB. 300 kN 120 kN 200 kN |2 m 8 m- -4 m --3 m- B 500 kN Fig. P3.19 Problem 3arrow_forwardThe tailgate of a car is supported by the hydraulic lift BC If the lift exerts a 125-lb force directed along its centerline on the ball and socket at B, determine the moment of the force about A.arrow_forwardDetermine the resultant of the three forces of Prob. 2.22.(Reference to Problem 2.22):Determine the x and y components of each of the forces shown.arrow_forward
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