. equivalent to a 1200 kN-m 240 kN counterclockwise couple. d . - PDF document

FE Review-Statics & Structural Analysis 6. A force is defined by the vector A — 3.5i — 1 \i - 2.0k. What is most nearly the angle between the 6. A force is defined by the vector A — 3.5i — force and the positive t/-axis? 1 \i - 2.0k. What is most nearly the angle between the (.At 20° force and the positive t/-axis? (B) 66 (.At 20° ( C ) 70 r (B) 66 (D) 110 c ( C ) 70 r (D) 110 c 8. Where can a couple be moved on a rigid body to have an equivalent effect? 8. Where can a couple be moved on a rigid body to have an equivalent effect? (A) along the line of action (A) along the line of action (B) in a parallel plane (B) in a parallel plane (C) along the perpendicular bisector joining the two original forces (C) along the perpendicular bisector joining the two original forces (D) anywhere on the rigid body (D) anywhere on the rigid body 1

FE Review-Statics & Structural Analysis The moment of the force F about the F*( 4 0 i - 1 2 0 j - 3 0 k ) l b s z-axis has a magnitude of: T a . zero. 2 - i ( 3 . 0 . 4 b . 160 in-lb. c . 320 in-lb. A - i 8 -1 d. _ 800 in-lb. e. 480 in-lb. The magnitude of the moment of the force F (see figure above) about the line OA is: a . 200 in-lb. b . 165 in-lb. c . zero. d. _ 1191 in-lb. e. _ 128 in-lb. 2

FE Review-Statics & Structural Analysis In the analysis of rigid bodies the 250 kN force system shown is: a . in static equilibrium. b . equivalent to a 1200 kN force acting vertically downward and intersecting the x-axis 1 m to 20 kN 50 kN the right of 'O'. c . equivalent to a 1200 kN-m 240 kN counterclockwise couple. d . equivalent to a 1200 kN-m clockwise couple. e . equivalent to a single 240 kN force acting vertically downward 5 m to the right of the origin 'O'. 3

FE Review-Statics & Structural Analysis The horizontal boom of negligible weight supports a 1000 pound load as shown. The boom is supported by cables and a ball and socket joint at '0'. The tensile load carried by cable AB is: 0 a. 1500 lb. b. _ 1800 lb. 5 667 lb. c. % — Y d. _ 1200 lb. 1000 e. 10001b. 4

FE Review-Statics & Structural Analysis Find Components. Find resultant force and angle. 5

FE Review-Statics & Structural Analysis 1. What is the resultant R of the system of forces shown? y Ft = 15i + 25j-10k F 3 = —lOi + 40j + 50k (3,6,4)^\_ F 2 = 20i - 5j + 15k / X ¥}(- Q ^<3 - io)(• - i f / z Ty + <- - 6o 6

FE Review-Statics & Structural Analysis R = 25i + 60j + 55k (3,6,4) 7

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FE Review-Statics & Structural Analysis Find resultant force Find FAC & FBC M=10 kg 9

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FE Review-Statics & Structural Analysis 4. The two cables shown carry a 100 N vertical load. 100 N Most nearly, what is the tension in cable AB? (A) 40 N (B) 50 N (C) 60 N (D) 80 N 11

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FE Review-Statics & Structural Analysis Find TAB. Wbar=300 N r=10 m Find L. 13

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FE Review-Statics & Structural Analysis 2. A box has uniform density and a total weight of GOO N. It is suspended by three equal-length cables, AE. BE. and CE, as shown. Point E is 0.5 m directly above the center of the box's top surface. CE BE 0.4 m 0.6 m Most nearly, what, is the tension in cable CE/ (A) 130 N (B) 200 N (C) 370 N (D) 400 N 15

FE Review-Statics & Structural Analysis A 156 pound homogeneous cylinder rests against -VERTICAL SURFACE smooth surfaces as shown. The normal force at B is: a. 156 lb. 156 lb. b. 144 lb. c. 169 lb. d. 60 lb. e. 405.6 lb. The normal force at A (see figure above) is: a . zero. b. _ 60 lb. c. _ 144 lb. d. _ 65 lb. e. 156 lb. 16

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FE Review-Statics & Structural Analysis Find the tension in the cable P=600 N 20

FE Review-Statics & Structural Analysis Find W B if P=80N. 80 N = =? 21

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FE Review-Statics & Structural Analysis 3. A rope is wrapped over a 6 cm diameter pipe to support a bucket of tools being lowered. The coefficient of static friction between the rope and the pipe is 0.20. The combined mass of the bucket and tools is 100 kg. p, = 0.20 20° pipe r = 3 cm bucket 100 kg What is most nearly the range of force that can bo applied to the free end of the rope such that the bucket remains stationary? (A) 560 N to 1360 N (B) 670 N to 1440 N (C) 720 N to 1360 N (D) 720 N to 1510 N 24

FE Review-Statics & Structural Analysis The system shown is at rest and has values of coefficient of friction shown. A flexible cord 80 LB connects the two weights. The maximum T T 7 7 7 7 T T 7 T 7 T T - 0 . 2 weight that can be supported without u upsetting the equilibrium of the system is: a . 25.6 pounds. b . 10.0 pounds c . 16.0 pounds. d . 20.8 pounds. e . 111.1 pounds. 25

FE Review-Statics & Structural Analysis 10. A disk-shaped body with a 4 cm radius has a 320 N force acting through the center at an unknown angle 9, and two 40 N loads acting as a couple, as shown. All of these forces are removed and replaced by a single 320 N force at point B, parallel to the original 320 N force. 40 N 320 N e ' b 4 cm - 40 N Most nearly, what is the angle 9? (A) 0° (B) 7.6° (C) 15° (D) 29° 26

FE Review-Statics & Structural Analysis The 500 newton crate is initially at rest and the 200 N 200 newton force is then applied. The coefficient of friction is 0.2 between the crate and the floor. After the 200 N load is applied: (Assume the block can not tip). 5 0 0 N a. the crate will slide to the right. 0 . 2 r the frictional force will be 100 N. b. iiummmMMMimmmnmm the frictional force will be 132 N. c. d. the frictional force will be 120 N. e. the frictional force will be 140 N. 27

FE Review-Statics & Structural Analysis W=50 kg u s =0.2 u k =0.15 28

FE Review-Statics & Structural Analysis 1. A 2 kg block rests on a 34° incline. kg (j. s = 0.2 34° If the coefficient of static friction is 0.2, approximately how much additional force, F, must be applied to keep the block from sliding down the incline? (A) i .7 N (B) 8.8 N (C) 9.1 N (D) 14 N 29

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FE Review-Statics & Structural Analysis Find the screw-jack moment. u=0.25 The thread moves up 2mm upon a 360 degree turn. 32

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FE Review-Statics & Structural Analysis 3. Most nearly, what is the area moment of inertia about the x-axis for the area shown? 7 cm E E 3.5 cm ) H C C 4.5 cm A B , , X 1.5 cm (A) 89 cm 4 (B) 170 cm 4 (C) 510 cm 4 (D) 1000 cm 4 37

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FE Review-Statics & Structural Analysis 5. Tho oontroidal moment of inertia ahont the .r-axis for the area shown is 142.41 em 1 . V i 8.2 cm F 3.8 cm H O Q 2.9 cm A B X - 4.1 cm Most nearly, what is the centroidal polar moment of inertia? (A 79 cm 4 (B) 110 cm 4 (CI 330 cm 4 (D1 450 cm 4 39

FE Review-Statics & Structural Analysis 7. Most nearly, what are the » ami ./-eoor<li„a ta „f centroid of the perimeter line for the area shown? 4.5 cm E E * 3.1 cm D C H 5.0 cm B A X ^ 2.5 cm (A) 1.0 cm; 3.8 cm (B) 1.0 cm; 4.0 cm (C) 2.3 cm; 4.4 cm (D) 2.3 cm; 4.8 cm 40

FE Review-Statics & Structural Analysis 9. The ^-coordinate of (ho ccntroid of tlic area shown is 5.8125 cm. 10 cm E \ 3 cm H V C D 1 6 cm \ A 1 B X 3 cm Most nearly, what is the centroidal moment of inertia with respect to the x-axis? A) 82 cm 4 I IB) 100 cm' (C) 220 cm' tD) 270 cm 41

FE Review-Statics & Structural Analysis 12. Most nearly, what are the x- and y-coordinates of the centroid of the area shown? 12 cm E 4 cm H ) C C 8 cm A B X 4 cm o (A) 4.8 cm; o cm o (B) 6.0 cm; 7.2 cm (C) 6.0 cm; 7.6 cm o (D) 6.0 cm; 9° cm 42

FE Review-Statics & Structural Analysis 11. If w = 15 in., find the distance to the centroid from the bottom of the beam. a. 15.4 in. b. 15.9 in. c. 15.1 in. d. 15.7 in. e. 14.8 in. 12. If w = 5 in., find the moment of inertia about the z axis. The centroid of the section is located 2.583 in. from the bottom of the beam. a. 8.71 in. 4 b. 11.1 in. 4 c. 9.46 in. 4 d. 12.3 in. 4 e. 10.7 in. 4 43

FE Review-Statics & Structural Analysis 9. The overhanging beam shown is supported by a roller and a pinned support. The moment is removed and replaced by a couple consisting of forces applied at points A and C. 100 N/m 100 N 2.5 N m a fit 0.1 m 0.5 m 0.2 m 0.4 m What is the magnitude of the forces that constitute the couple? (A) 2.1 N (B) 4.2 N (C) 6.3 N (D) 8.3 N 44