Statics and Mechanics of Materials
2nd Edition
ISBN: 9780073398167
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 2.4, Problem 62P
Determine the magnitude and direction of the force
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A 400-lb force F acts in the direction defined by the direction angles θx=70° and θy=50°. The z-component of the force is negative. Find the components of the force.
Find the resultant force of the following?
B
F3 = 700 N
6 m
F = 400 N
2 m
3 m
F2 = 800 N
Find the resultant of the forces F1, F2, and F3?
F2=100 N
F3=100 N
45°
F1=100N
Chapter 2 Solutions
Statics and Mechanics of Materials
Ch. 2.1 - 2.1 and 2.2 Determine graphically the magnitude...Ch. 2.1 - 2.1 and 2.2 Determine graphically the magnitude...Ch. 2.1 - Two structural members B and C are bolted to...Ch. 2.1 - Two structural members B and C are bolted to...Ch. 2.1 - The 300-lb force is to be resolved into components...Ch. 2.1 - The 300-lb force is to be resolved into components...Ch. 2.1 - A trolley that moves along a horizontal beam is...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 disabled automobile is pulled by means of two...
Ch. 2.1 - A trolley that moves along a horizontal beam is...Ch. 2.1 - For the hook support shown, determine by...Ch. 2.1 - The cable stays AB and AD help support pole AC....Ch. 2.1 - Solve Prob. 2.4 by trigonometry.Ch. 2.1 - For the hook support of Prob. 2.9, determine by...Ch. 2.2 - 2.16 and 2.17 Determine the x and y components of...Ch. 2.2 - 2.16 and 2.17 Determine the x and y components of...Ch. 2.2 - 2.18 and 2.10 Determine the x and y components of...Ch. 2.2 - 2.18 and 2.19 Determine the x and y components of...Ch. 2.2 - Member BD exerts on member ABC a force P directed...Ch. 2.2 - Member BC exerts on member AC a force P directed...Ch. 2.2 - Cable AC exerts on beam AB a force P directed...Ch. 2.2 - The hydraulic cylinder BD exerts on member ABC a...Ch. 2.2 - Prob. 24PCh. 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 - For the collar loaded as shown, determine (a) the...Ch. 2.2 - Prob. 29PCh. 2.2 - A hoist trolley is subjected to the three forces...Ch. 2.2 - For the post loaded as shown, determine (a) the...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - 2.33 and 2.34 Two cables are tied together at C...Ch. 2.3 - Prob. 34PCh. 2.3 - Prob. 35PCh. 2.3 - Prob. 36PCh. 2.3 - Two forces of magnitude TA=8 kips and TB=15 kips...Ch. 2.3 - Prob. 38PCh. 2.3 - Prob. 39PCh. 2.3 - Two forces P and Q are applied as shown to an...Ch. 2.3 - Prob. 41PCh. 2.3 - A sailor is being rescued using a boatswains chair...Ch. 2.3 - For the cables of Prob. 2.32, find the value of a...Ch. 2.3 - Prob. 44PCh. 2.3 - Prob. 45PCh. 2.3 - Prob. 46PCh. 2.3 - Two cables tied together at C are loaded as shown....Ch. 2.3 - Collar A is connected as shown to a 50-1b load and...Ch. 2.3 - Cogar A is connected as shown to a 50-lb load and...Ch. 2.3 - A movable bin and its contents have a combined...Ch. 2.3 - A 600 lb crate is supported by several...Ch. 2.3 - Prob. 52PCh. 2.3 - A 200-kg crate is to be supported by the...Ch. 2.3 - Prob. 54PCh. 2.3 - Prob. 55PCh. 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 - The end of the coaxial cable AE is attached to the...Ch. 2.4 - The end of the coaxial cable AE is attached to the...Ch. 2.4 - A gun is aimed at a point A located 35 east of...Ch. 2.4 - Prob. 61PCh. 2.4 - Determine the magnitude and direction of the force...Ch. 2.4 - Prob. 63PCh. 2.4 - Prob. 64PCh. 2.4 - Prob. 65PCh. 2.4 - Prob. 66PCh. 2.4 - Prob. 67PCh. 2.4 - Prob. 68PCh. 2.4 - Prob. 69PCh. 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 - Prob. 72PCh. 2.4 - Prob. 73PCh. 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 - A frame ABC is supported in part by cable DBE that...Ch. 2.4 - For the plate of Prob. 2.68, determine the...Ch. 2.4 - The boom OA carries a load P and is supported by...Ch. 2.4 - For the boom and loading of Prob. 2.78, determine...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 - 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 crate is supported by three cables as shown....Ch. 2.5 - A 1600-lb crate is supported by three cables as...Ch. 2.5 - Three wires are connected at point D, which is...Ch. 2.5 - Prob. 87PCh. 2.5 - A rectangular plate is supported by three cables...Ch. 2.5 - A rectangular plate is supported by three cables...Ch. 2.5 - Prob. 90PCh. 2.5 - Solve Prob. 2.90, assuming that a fiend is helping...Ch. 2.5 - Prob. 92PCh. 2.5 - Prob. 93PCh. 2.5 - Prob. 94PCh. 2.5 - Prob. 95PCh. 2.5 - Prob. 96PCh. 2.5 - Prob. 97PCh. 2.5 - Prob. 98PCh. 2.5 - Prob. 99PCh. 2.5 - Prob. 100PCh. 2.5 - Prob. 101PCh. 2.5 - Prob. 102PCh. 2.5 - Solve Prob. 2.102 assuming that y=275mm.Ch. 2 - Two structural members A and B are bolted to a...Ch. 2 - Determine the x and y components of each of the...Ch. 2 - The hydraulic cylinder BC exerts on member AB a...Ch. 2 - Prob. 107RPCh. 2 - Knowing that a=20, determine the tension (a) in...Ch. 2 - Prob. 109RPCh. 2 - Prob. 110RPCh. 2 - Prob. 111RPCh. 2 - Prob. 112RPCh. 2 - Prob. 113RPCh. 2 - A transmission tower is held by three guy wires...Ch. 2 - Prob. 115RP
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- 1. If the resultant force acting on the hook is FR = { -115 i + 643 j + 139 k } lb, determine the magnitude of the force FR in lb.arrow_forwardDetermine the moment of the three forces about the point A. F = 30 lb F = 20 lb/ 30% 70° 50 lb < 60° 4 in. 1 in. -3.5 in:-arrow_forwardForces F, P, and T are concurrent. F is acting up to the right at angle α with respect to the x axis, P is directed down to the right at angle β with respect to the x axis and T is directed to the left along the x axis. Determine: The value of F and α if T=450N, P=250N, β=30^0, and the resultant is 300N acting up to the y axis The value of F and α if T=450N, P=250N, β=30^0, and the resultant is zero. The value of α and β if T=450N, P=250N, F=350N and the resultant is zeroarrow_forward
- The supporting cables AB and AC are oriented so that the components of the 360-lb force along AB and AC are 190 lb and 210 lb, respectively. Determine the angles α and β .arrow_forwardQ4 ) If the two forces fi= 6N and F2= 4 N and the angle between them 0 =60 , the resultant of them R (F1 + F2)arrow_forward2 m F₂ = 40 N T 3 m A F₁ = 70 N 3 m C -3 m 4 m x 2m B Determine the magnitude of the projection of the force F₁ along cable AC. Determine the angle between the two ropes.arrow_forward
- At what angle must the 800-lb force be applied in order that the resultant R of the two forces have a magnitude of 1000 lb? For this condition, determine the angle between R and the vertical from the following answers which of them is correct: 1400 lb a = 46.12 and B = 46.4 a = 64.4 and B = 18.9 O a = 64.4 and B = 46.12 O a = 64.4 and B = 64.4arrow_forward4. A machine component is subjected to the forces and couples as shown. If P = 60 N, determine the magnitude and direction of the resultant force as well as the location where the resultant force passes through vertical line GF and horizontal line GH. 15 200 N 50 mm 520 mm E 50 mm 240 mm 42 N-m D 120 N 70⁰ 40 N-m 640 mm H 80 N 180 mm B +50mm Ans: (a) 0.365 m above G (b) 0.227 m to the right of Garrow_forward2- Replace the effect of the forces, with the resultant Fv and the moment M at point D, if the force F1 acts at point A, F2 at point B and F3 at point C. A = (1,5; 1,5: 2), B = (1; 3,5; 1), C=(-1; 5,5; 0), D= (1; 1,5; -0,5), F, = (1003; - 20; 0)N, F, = (- 40; - 30; 15)N , F, = (0; -80; 120)N. F. A rA F, k iarrow_forward
- At what angle must the 800-N force be applied in order that the resultant R of the two forces has a magnitude of 2000 N? 1400 N 800 Narrow_forward(4) YouTu Determine the magnitude of the resultant force acting on the hook in N if F= 560 N and F,= 340 !! 30 30° 45° F2arrow_forward50° 15 N 150 mm E B D 10 N Three forces and a couple act on crank ABC. Determine the value of d so that the given system of forces is equivalent to zero at point B, 6.25 N-m 150 mm-200 mm- Carrow_forward
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