FE Civil – Statics_high_difficulty

#1. A simply supported beam span 17 m carries a uniform load w=4 kN/m over full span and a point load P=15 kN at 9 m from A. Find reaction at B.

41.5 kN

7.94 kN

41.94 kN

41.06 kN

#2. A force with components Fx = 5 N, Fy = 12 N is applied at position (x, y)=(2, 8) m from O. What is scalar moment M_O = xFy – yFx?

16 N-m

170 N-m

64 N-m

-16 N-m

#3. A block of weight 279 N is on a 15° incline with μs=0.25. What minimum force parallel to plane is required to start moving it up the incline?

69.75 N

139.58 N

4.84 N

269.49 N

#4. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

It must carry half the force of each collinear member

It is a zero-force member

Its force cannot be determined without full truss analysis

It must carry the maximum compressive force in the truss

#5. A simply supported beam span 15 m carries a uniform load w=2 kN/m over full span and a point load P=18 kN at 12 m from A. Find reaction at B.

18.6 kN

14.4 kN

24 kN

29.4 kN

#6. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

Its force cannot be determined without full truss analysis

It is a zero-force member

It must carry half the force of each collinear member

It must carry the maximum compressive force in the truss

#7. A block of weight 117 N is on a 15° incline with μs=0.25. What minimum force parallel to plane is required to start moving it up the incline?

2.03 N

113.01 N

29.25 N

58.54 N

#8. For a rectangle b=6 m, h=14 m, find I_x about an axis parallel to centroidal x-axis and offset by d=7 m using parallel-axis theorem.

1421 m^4

5488 m^4

4116 m^4

1372 m^4

#9. A force with components Fx = -12 lb, Fy = -5 lb is applied at position (x, y)=(5, 4) ft from O. What is scalar moment M_O = xFy – yFx?

-153 lb-ft

-73 lb-ft

23 lb-ft

26.45 lb-ft

#10. A simply supported beam span 23 ft carries a uniform load w=2 kip/ft over full span and a point load P=15 kip at 13 ft from A. Find reaction at B.

30.5 kip

31.48 kip

8.48 kip

29.52 kip

#11. A block of weight 137 lb is on a 15° incline with μs=0.4. What minimum force parallel to plane is required to start moving it up the incline?

54.8 lb

-17.47 lb

88.39 lb

132.33 lb

#12. A simply supported beam span 21 m carries a uniform load w=6 kN/m over full span and a point load P=6 kN at 3 m from A. Find reaction at B.

66 kN

0.86 kN

68.14 kN

63.86 kN

#13. A rectangular plate 12m×13m has a centered rectangular hole 10m×10m. What is ȳ from the base?

1.5 m

9.18 m

5.91 m

6.5 m

#14. A rectangular plate 7in×8in has a centered rectangular hole 2in×2in. What is ȳ from the base?

3 in

3.8 in

4.23 in

4 in

#15. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

It must carry half the force of each collinear member

Its force cannot be determined without full truss analysis

It is a zero-force member

It must carry the maximum compressive force in the truss

#16. For a rectangle b=11 m, h=13 m, find I_x about an axis parallel to centroidal x-axis and offset by d=4 m using parallel-axis theorem.

4301.92 m^4

2288 m^4

2029.92 m^4

2013.92 m^4

#17. A rectangular plate 7in×7in has a centered rectangular hole 3in×4in. What is ȳ from the base?

3.99 in

1.5 in

3.5 in

3.2 in

#18. A force with components Fx = 12 lb, Fy = -8 lb is applied at position (x, y)=(6, 6) ft from O. What is scalar moment M_O = xFy – yFx?

120 lb-ft

-120 lb-ft

24 lb-ft

48 lb-ft

#19. For a rectangle b=8 m, h=5 m, find I_x about an axis parallel to centroidal x-axis and offset by d=8 m using parallel-axis theorem.

83.33 m^4

2560 m^4

147.33 m^4

2643.33 m^4

#20. A rectangular plate 14m×11m has a centered rectangular hole 5m×9m. What is ȳ from the base?

5.5 m

5.27 m

5.91 m

1 m

#21. A block of weight 354 N is on a 12° incline with μs=0.35. What minimum force parallel to plane is required to start moving it up the incline?

123.9 N

-47.59 N

346.26 N

194.79 N

#22. A block of weight 432 lb is on a 15° incline with μs=0.3. What minimum force parallel to plane is required to start moving it up the incline?

-13.37 lb

236.99 lb

129.6 lb

417.28 lb

#23. Two coplanar forces act at a point: F1 = 11 N at 69° from +x and F2 = 11 N at 156° from +x. What is resultant magnitude?

19.15 N

0 N

22 N

15.96 N

#24. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

Its force cannot be determined without full truss analysis

It must carry half the force of each collinear member

It must carry the maximum compressive force in the truss

It is a zero-force member

#25. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

It must carry half the force of each collinear member

It must carry the maximum compressive force in the truss

It is a zero-force member

Its force cannot be determined without full truss analysis

#26. A force with components Fx = -20 N, Fy = -10 N is applied at position (x, y)=(7, 3) m from O. What is scalar moment M_O = xFy – yFx?

10 N-m

-300 N-m

-130 N-m

-10 N-m

#27. A rectangular plate 9m×12m has a centered rectangular hole 4m×3m. What is ȳ from the base?

6 m

4.5 m

6.56 m

5.55 m

#28. A block of weight 297 N is on a 18° incline with μs=0.4. What minimum force parallel to plane is required to start moving it up the incline?

204.76 N

282.46 N

118.8 N

-21.21 N

#29. A simply supported beam span 14 ft carries a uniform load w=6 kip/ft over full span and a point load P=7 kip at 6 ft from A. Find reaction at B.

45.5 kip

46 kip

3 kip

45 kip

#30. Two coplanar forces act at a point: F1 = 10 N at 67° from +x and F2 = 9 N at 117° from +x. What is resultant magnitude?

20.67 N

17.23 N

19 N

1 N

#31. Two coplanar forces act at a point: F1 = 8 N at 23° from +x and F2 = 21 N at 109° from +x. What is resultant magnitude?

29 N

27.59 N

22.99 N

13 N

#32. Two coplanar forces act at a point: F1 = 18 lb at 45° from +x and F2 = 24 lb at 116° from +x. What is resultant magnitude?

6 lb

42 lb

41.24 lb

34.37 lb

#33. A force with components Fx = -3 lb, Fy = -13 lb is applied at position (x, y)=(4, 3) ft from O. What is scalar moment M_O = xFy – yFx?

-112 lb-ft

-43 lb-ft

-61 lb-ft

43 lb-ft

#34. A simply supported beam span 23 ft carries a uniform load w=4 kip/ft over full span and a point load P=18 kip at 11 ft from A. Find reaction at B.

8.61 kip

54.61 kip

55.39 kip

55 kip

#35. For a rectangle b=8 in, h=7 in, find I_x about an axis parallel to centroidal x-axis and offset by d=2 in using parallel-axis theorem.

224 in^4

228.67 in^4

452.67 in^4

232.67 in^4

#36. A rectangular plate 9in×7in has a centered rectangular hole 3in×3in. What is ȳ from the base?

3.83 in

2 in

3.5 in

3.25 in

#37. A force with components Fx = 20 lb, Fy = 14 lb is applied at position (x, y)=(5, 2) ft from O. What is scalar moment M_O = xFy – yFx?

30 lb-ft

25.5 lb-ft

110 lb-ft

238 lb-ft

#38. A block of weight 293 lb is on a 15° incline with μs=0.45. What minimum force parallel to plane is required to start moving it up the incline?

203.19 lb

283.02 lb

-51.52 lb

131.85 lb

#39. For a rectangle b=4 in, h=16 in, find I_x about an axis parallel to centroidal x-axis and offset by d=7 in using parallel-axis theorem.

3136 in^4

1365.33 in^4

4501.33 in^4

1414.33 in^4

#40. A simply supported beam span 13 ft carries a uniform load w=4 kip/ft over full span and a point load P=9 kip at 8 ft from A. Find reaction at B.

29.46 kip

31.54 kip

30.5 kip

5.54 kip

#41. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

It must carry half the force of each collinear member

It must carry the maximum compressive force in the truss

Its force cannot be determined without full truss analysis

It is a zero-force member

#42. A force with components Fx = 18 N, Fy = -2 N is applied at position (x, y)=(6, 6) m from O. What is scalar moment M_O = xFy – yFx?

96 N-m

120 N-m

-120 N-m

192 N-m

#43. A simply supported beam span 12 ft carries a uniform load w=4 kip/ft over full span and a point load P=18 kip at 3 ft from A. Find reaction at B.

33 kip

28.5 kip

37.5 kip

4.5 kip

#44. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

Its force cannot be determined without full truss analysis

It must carry the maximum compressive force in the truss

It is a zero-force member

It must carry half the force of each collinear member

#45. A force with components Fx = -5 lb, Fy = -17 lb is applied at position (x, y)=(5, 7) ft from O. What is scalar moment M_O = xFy – yFx?

-120 lb-ft

-264 lb-ft

-50 lb-ft

50 lb-ft

#46. A rectangular plate 7in×6in has a centered rectangular hole 5in×2in. What is ȳ from the base?

2.62 in

2 in

3 in

3.62 in

#47. Two coplanar forces act at a point: F1 = 20 N at 50° from +x and F2 = 15 N at 129° from +x. What is resultant magnitude?

32.63 N

27.19 N

5 N

35 N

#48. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

It must carry the maximum compressive force in the truss

It is a zero-force member

Its force cannot be determined without full truss analysis

It must carry half the force of each collinear member

#49. A rectangular plate 13in×6in has a centered rectangular hole 8in×5in. What is ȳ from the base?

3.53 in

2.83 in

0.5 in

3 in

#50. A block of weight 277 N is on a 15° incline with μs=0.3. What minimum force parallel to plane is required to start moving it up the incline?

151.96 N

83.1 N

-8.58 N

267.56 N

#51. A rectangular plate 7m×8m has a centered rectangular hole 5m×5m. What is ȳ from the base?

5.21 m

4 m

3.54 m

1.5 m

#52. Two coplanar forces act at a point: F1 = 10 lb at 24° from +x and F2 = 18 lb at 111° from +x. What is resultant magnitude?

28 lb

21.04 lb

8 lb

25.25 lb

#53. Two coplanar forces act at a point: F1 = 19 lb at 56° from +x and F2 = 12 lb at 119° from +x. What is resultant magnitude?

7 lb

32.02 lb

26.68 lb

31 lb

#54. Two coplanar forces act at a point: F1 = 21 N at 62° from +x and F2 = 12 N at 163° from +x. What is resultant magnitude?

9 N

26.53 N

22.11 N

33 N

#55. A rectangular plate 6m×7m has a centered rectangular hole 3m×5m. What is ȳ from the base?

1 m

3.24 m

4.06 m

3.5 m

#56. For a rectangle b=8 m, h=11 m, find I_x about an axis parallel to centroidal x-axis and offset by d=3 m using parallel-axis theorem.

792 m^4

1679.33 m^4

887.33 m^4

896.33 m^4

#57. For a rectangle b=12 m, h=5 m, find I_x about an axis parallel to centroidal x-axis and offset by d=5 m using parallel-axis theorem.

125 m^4

1625 m^4

150 m^4

1500 m^4

#58. For a rectangle b=12 in, h=12 in, find I_x about an axis parallel to centroidal x-axis and offset by d=4 in using parallel-axis theorem.

1728 in^4

1744 in^4

2304 in^4

4032 in^4

#59. A simply supported beam span 10 m carries a uniform load w=5 kN/m over full span and a point load P=6 kN at 3 m from A. Find reaction at B.

26.8 kN

29.2 kN

28 kN

1.8 kN

#60. For a rectangle b=5 m, h=5 m, find I_x about an axis parallel to centroidal x-axis and offset by d=3 m using parallel-axis theorem.

61.08 m^4

277.08 m^4

52.08 m^4

225 m^4

#61. A block of weight 137 N is on a 15° incline with μs=0.3. What minimum force parallel to plane is required to start moving it up the incline?

75.16 N

132.33 N

-4.24 N

41.1 N

#62. A force with components Fx = -5 lb, Fy = 11 lb is applied at position (x, y)=(2, 8) ft from O. What is scalar moment M_O = xFy – yFx?

62 lb-ft

60 lb-ft

80.6 lb-ft

-18 lb-ft

#63. Two coplanar forces act at a point: F1 = 14 lb at 54° from +x and F2 = 10 lb at 138° from +x. What is resultant magnitude?

18.04 lb

21.64 lb

24 lb

4 lb

#64. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

It must carry the maximum compressive force in the truss

Its force cannot be determined without full truss analysis

It must carry half the force of each collinear member

It is a zero-force member

#65. Two coplanar forces act at a point: F1 = 28 lb at 52° from +x and F2 = 17 lb at 108° from +x. What is resultant magnitude?

11 lb

45 lb

48.08 lb

40.07 lb

#66. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

It is a zero-force member

It must carry the maximum compressive force in the truss

It must carry half the force of each collinear member

Its force cannot be determined without full truss analysis

#67. A block of weight 254 lb is on a 15° incline with μs=0.3. What minimum force parallel to plane is required to start moving it up the incline?

139.34 lb

245.35 lb

76.2 lb

-7.86 lb

#68. A force with components Fx = 13 lb, Fy = -20 lb is applied at position (x, y)=(6, 2) ft from O. What is scalar moment M_O = xFy – yFx?

146 lb-ft

-56 lb-ft

-94 lb-ft

-146 lb-ft

#69. A rectangular plate 14in×6in has a centered rectangular hole 12in×4in. What is ȳ from the base?

2.64 in

3 in

4.33 in

1 in

#70. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

It must carry the maximum compressive force in the truss

It is a zero-force member

It must carry half the force of each collinear member

Its force cannot be determined without full truss analysis

#71. A block of weight 440 N is on a 20° incline with μs=0.3. What minimum force parallel to plane is required to start moving it up the incline?

26.45 N

413.46 N

274.53 N

132 N

#72. For a rectangle b=12 m, h=12 m, find I_x about an axis parallel to centroidal x-axis and offset by d=2 m using parallel-axis theorem.

2304 m^4

576 m^4

1728 m^4

1732 m^4

#73. A simply supported beam span 17 ft carries a uniform load w=6 kip/ft over full span and a point load P=11 kip at 2 ft from A. Find reaction at B.

52.29 kip

1.29 kip

60.71 kip

56.5 kip

#74. A simply supported beam span 10 ft carries a uniform load w=4 kip/ft over full span and a point load P=9 kip at 4 ft from A. Find reaction at B.

23.6 kip

25.4 kip

24.5 kip

3.6 kip

#75. A simply supported beam span 13 m carries a uniform load w=8 kN/m over full span and a point load P=14 kN at 2 m from A. Find reaction at B.

2.15 kN

63.85 kN

59 kN

54.15 kN

#76. A simply supported beam span 17 m carries a uniform load w=4 kN/m over full span and a point load P=12 kN at 4 m from A. Find reaction at B.

36.82 kN

40 kN

2.82 kN

43.18 kN

#77. A rectangular plate 8m×10m has a centered rectangular hole 4m×9m. What is ȳ from the base?

0.5 m

4.84 m

5 m

5.41 m

#78. A block of weight 395 lb is on a 25° incline with μs=0.3. What minimum force parallel to plane is required to start moving it up the incline?

274.33 lb

357.99 lb

118.5 lb

59.54 lb

#79. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

Its force cannot be determined without full truss analysis

It must carry the maximum compressive force in the truss

It is a zero-force member

It must carry half the force of each collinear member

#80. A force with components Fx = -11 lb, Fy = 14 lb is applied at position (x, y)=(6, 3) ft from O. What is scalar moment M_O = xFy – yFx?

117 lb-ft

134.55 lb-ft

51 lb-ft

27 lb-ft

#81. A force with components Fx = 18 lb, Fy = -17 lb is applied at position (x, y)=(5, 6) ft from O. What is scalar moment M_O = xFy – yFx?

-193 lb-ft

11 lb-ft

193 lb-ft

23 lb-ft

#82. A simply supported beam span 13 m carries a uniform load w=6 kN/m over full span and a point load P=9 kN at 8 m from A. Find reaction at B.

5.54 kN

44.54 kN

42.46 kN

43.5 kN

#83. Two coplanar forces act at a point: F1 = 10 N at 43° from +x and F2 = 24 N at 101° from +x. What is resultant magnitude?

34 N

30.5 N

14 N

36.6 N

#84. Two coplanar forces act at a point: F1 = 28 N at 33° from +x and F2 = 14 N at 110° from +x. What is resultant magnitude?

40.81 N

14 N

34.01 N

42 N

#85. A force with components Fx = 16 N, Fy = 6 N is applied at position (x, y)=(8, 8) m from O. What is scalar moment M_O = xFy – yFx?

352 N-m

80 N-m

176 N-m

-80 N-m

#86. A block of weight 165 lb is on a 12° incline with μs=0.25. What minimum force parallel to plane is required to start moving it up the incline?

-6.04 lb

74.65 lb

41.25 lb

161.39 lb

#87. For a rectangle b=12 in, h=16 in, find I_x about an axis parallel to centroidal x-axis and offset by d=2 in using parallel-axis theorem.

768 in^4

4100 in^4

4864 in^4

4096 in^4

#88. A force with components Fx = -19 lb, Fy = 17 lb is applied at position (x, y)=(8, 2) ft from O. What is scalar moment M_O = xFy – yFx?

121.8 lb-ft

-20 lb-ft

98 lb-ft

174 lb-ft

#89. For a rectangle b=9 m, h=16 m, find I_x about an axis parallel to centroidal x-axis and offset by d=3 m using parallel-axis theorem.

1296 m^4

3072 m^4

4368 m^4

3081 m^4

#90. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

It must carry the maximum compressive force in the truss

Its force cannot be determined without full truss analysis

It must carry half the force of each collinear member

It is a zero-force member

#91. Two coplanar forces act at a point: F1 = 29 lb at 58° from +x and F2 = 7 lb at 105° from +x. What is resultant magnitude?

34.16 lb

40.99 lb

36 lb

22 lb

#92. A block of weight 193 N is on a 20° incline with μs=0.35. What minimum force parallel to plane is required to start moving it up the incline?

67.55 N

2.53 N

129.49 N

181.36 N

#93. A rectangular plate 11m×8m has a centered rectangular hole 3m×7m. What is ȳ from the base?

3.9 m

0.5 m

4 m

4.16 m

#94. For a rectangle b=6 in, h=7 in, find I_x about an axis parallel to centroidal x-axis and offset by d=3 in using parallel-axis theorem.

171.5 in^4

180.5 in^4

378 in^4

549.5 in^4

#95. For a rectangle b=6 m, h=6 m, find I_x about an axis parallel to centroidal x-axis and offset by d=3 m using parallel-axis theorem.

117 m^4

432 m^4

108 m^4

324 m^4

#96. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

It is a zero-force member

Its force cannot be determined without full truss analysis

It must carry half the force of each collinear member

It must carry the maximum compressive force in the truss

#97. Two coplanar forces act at a point: F1 = 18 N at 33° from +x and F2 = 15 N at 117° from +x. What is resultant magnitude?

29.53 N

24.61 N

3 N

33 N

#98. A rectangular plate 10m×13m has a centered rectangular hole 8m×10m. What is ȳ from the base?

8.9 m

5.93 m

6.5 m

1.5 m

#99. Two coplanar forces act at a point: F1 = 8 lb at 10° from +x and F2 = 16 lb at 115° from +x. What is resultant magnitude?

19.12 lb

8 lb

24 lb

15.93 lb

#100. A block of weight 328 lb is on a 10° incline with μs=0.35. What minimum force parallel to plane is required to start moving it up the incline?

114.8 lb

323.02 lb

170.01 lb

-56.1 lb

Statics – High Difficulty

Results

#1. A simply supported beam span 17 m carries a uniform load w=4 kN/m over full span and a point load P=15 kN at 9 m from A. Find reaction at B.

#2. A force with components Fx = 5 N, Fy = 12 N is applied at position (x, y)=(2, 8) m from O. What is scalar moment M_O = xFy – yFx?

#3. A block of weight 279 N is on a 15° incline with μs=0.25. What minimum force parallel to plane is required to start moving it up the incline?

#4. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

#5. A simply supported beam span 15 m carries a uniform load w=2 kN/m over full span and a point load P=18 kN at 12 m from A. Find reaction at B.

#6. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

#7. A block of weight 117 N is on a 15° incline with μs=0.25. What minimum force parallel to plane is required to start moving it up the incline?

#8. For a rectangle b=6 m, h=14 m, find I_x about an axis parallel to centroidal x-axis and offset by d=7 m using parallel-axis theorem.

#9. A force with components Fx = -12 lb, Fy = -5 lb is applied at position (x, y)=(5, 4) ft from O. What is scalar moment M_O = xFy – yFx?

#10. A simply supported beam span 23 ft carries a uniform load w=2 kip/ft over full span and a point load P=15 kip at 13 ft from A. Find reaction at B.

#11. A block of weight 137 lb is on a 15° incline with μs=0.4. What minimum force parallel to plane is required to start moving it up the incline?

#12. A simply supported beam span 21 m carries a uniform load w=6 kN/m over full span and a point load P=6 kN at 3 m from A. Find reaction at B.

#13. A rectangular plate 12m×13m has a centered rectangular hole 10m×10m. What is ȳ from the base?

#14. A rectangular plate 7in×8in has a centered rectangular hole 2in×2in. What is ȳ from the base?

#15. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

#16. For a rectangle b=11 m, h=13 m, find I_x about an axis parallel to centroidal x-axis and offset by d=4 m using parallel-axis theorem.

#17. A rectangular plate 7in×7in has a centered rectangular hole 3in×4in. What is ȳ from the base?

#18. A force with components Fx = 12 lb, Fy = -8 lb is applied at position (x, y)=(6, 6) ft from O. What is scalar moment M_O = xFy – yFx?

#19. For a rectangle b=8 m, h=5 m, find I_x about an axis parallel to centroidal x-axis and offset by d=8 m using parallel-axis theorem.

#20. A rectangular plate 14m×11m has a centered rectangular hole 5m×9m. What is ȳ from the base?

#21. A block of weight 354 N is on a 12° incline with μs=0.35. What minimum force parallel to plane is required to start moving it up the incline?

#22. A block of weight 432 lb is on a 15° incline with μs=0.3. What minimum force parallel to plane is required to start moving it up the incline?

#23. Two coplanar forces act at a point: F1 = 11 N at 69° from +x and F2 = 11 N at 156° from +x. What is resultant magnitude?

#24. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

#25. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

#26. A force with components Fx = -20 N, Fy = -10 N is applied at position (x, y)=(7, 3) m from O. What is scalar moment M_O = xFy – yFx?

#27. A rectangular plate 9m×12m has a centered rectangular hole 4m×3m. What is ȳ from the base?

#28. A block of weight 297 N is on a 18° incline with μs=0.4. What minimum force parallel to plane is required to start moving it up the incline?

#29. A simply supported beam span 14 ft carries a uniform load w=6 kip/ft over full span and a point load P=7 kip at 6 ft from A. Find reaction at B.

#30. Two coplanar forces act at a point: F1 = 10 N at 67° from +x and F2 = 9 N at 117° from +x. What is resultant magnitude?

#31. Two coplanar forces act at a point: F1 = 8 N at 23° from +x and F2 = 21 N at 109° from +x. What is resultant magnitude?

#32. Two coplanar forces act at a point: F1 = 18 lb at 45° from +x and F2 = 24 lb at 116° from +x. What is resultant magnitude?

#33. A force with components Fx = -3 lb, Fy = -13 lb is applied at position (x, y)=(4, 3) ft from O. What is scalar moment M_O = xFy – yFx?

#34. A simply supported beam span 23 ft carries a uniform load w=4 kip/ft over full span and a point load P=18 kip at 11 ft from A. Find reaction at B.

#35. For a rectangle b=8 in, h=7 in, find I_x about an axis parallel to centroidal x-axis and offset by d=2 in using parallel-axis theorem.

#36. A rectangular plate 9in×7in has a centered rectangular hole 3in×3in. What is ȳ from the base?

#37. A force with components Fx = 20 lb, Fy = 14 lb is applied at position (x, y)=(5, 2) ft from O. What is scalar moment M_O = xFy – yFx?

#38. A block of weight 293 lb is on a 15° incline with μs=0.45. What minimum force parallel to plane is required to start moving it up the incline?

#39. For a rectangle b=4 in, h=16 in, find I_x about an axis parallel to centroidal x-axis and offset by d=7 in using parallel-axis theorem.

#40. A simply supported beam span 13 ft carries a uniform load w=4 kip/ft over full span and a point load P=9 kip at 8 ft from A. Find reaction at B.

#41. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

#42. A force with components Fx = 18 N, Fy = -2 N is applied at position (x, y)=(6, 6) m from O. What is scalar moment M_O = xFy – yFx?

#43. A simply supported beam span 12 ft carries a uniform load w=4 kip/ft over full span and a point load P=18 kip at 3 ft from A. Find reaction at B.

#44. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

#45. A force with components Fx = -5 lb, Fy = -17 lb is applied at position (x, y)=(5, 7) ft from O. What is scalar moment M_O = xFy – yFx?

#46. A rectangular plate 7in×6in has a centered rectangular hole 5in×2in. What is ȳ from the base?

#47. Two coplanar forces act at a point: F1 = 20 N at 50° from +x and F2 = 15 N at 129° from +x. What is resultant magnitude?

#48. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

#49. A rectangular plate 13in×6in has a centered rectangular hole 8in×5in. What is ȳ from the base?

#50. A block of weight 277 N is on a 15° incline with μs=0.3. What minimum force parallel to plane is required to start moving it up the incline?

#51. A rectangular plate 7m×8m has a centered rectangular hole 5m×5m. What is ȳ from the base?

#52. Two coplanar forces act at a point: F1 = 10 lb at 24° from +x and F2 = 18 lb at 111° from +x. What is resultant magnitude?

#53. Two coplanar forces act at a point: F1 = 19 lb at 56° from +x and F2 = 12 lb at 119° from +x. What is resultant magnitude?

#54. Two coplanar forces act at a point: F1 = 21 N at 62° from +x and F2 = 12 N at 163° from +x. What is resultant magnitude?

#55. A rectangular plate 6m×7m has a centered rectangular hole 3m×5m. What is ȳ from the base?

#56. For a rectangle b=8 m, h=11 m, find I_x about an axis parallel to centroidal x-axis and offset by d=3 m using parallel-axis theorem.

#57. For a rectangle b=12 m, h=5 m, find I_x about an axis parallel to centroidal x-axis and offset by d=5 m using parallel-axis theorem.

#58. For a rectangle b=12 in, h=12 in, find I_x about an axis parallel to centroidal x-axis and offset by d=4 in using parallel-axis theorem.

#59. A simply supported beam span 10 m carries a uniform load w=5 kN/m over full span and a point load P=6 kN at 3 m from A. Find reaction at B.

#60. For a rectangle b=5 m, h=5 m, find I_x about an axis parallel to centroidal x-axis and offset by d=3 m using parallel-axis theorem.

#61. A block of weight 137 N is on a 15° incline with μs=0.3. What minimum force parallel to plane is required to start moving it up the incline?

#62. A force with components Fx = -5 lb, Fy = 11 lb is applied at position (x, y)=(2, 8) ft from O. What is scalar moment M_O = xFy – yFx?

#63. Two coplanar forces act at a point: F1 = 14 lb at 54° from +x and F2 = 10 lb at 138° from +x. What is resultant magnitude?

#64. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

#65. Two coplanar forces act at a point: F1 = 28 lb at 52° from +x and F2 = 17 lb at 108° from +x. What is resultant magnitude?

#66. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

#67. A block of weight 254 lb is on a 15° incline with μs=0.3. What minimum force parallel to plane is required to start moving it up the incline?

#68. A force with components Fx = 13 lb, Fy = -20 lb is applied at position (x, y)=(6, 2) ft from O. What is scalar moment M_O = xFy – yFx?

#69. A rectangular plate 14in×6in has a centered rectangular hole 12in×4in. What is ȳ from the base?

#70. In a planar pin-jointed truss, a joint has three members where two are collinear and no external load/reaction is applied at that joint. What is true about the third non-collinear member?

#71. A block of weight 440 N is on a 20° incline with μs=0.3. What minimum force parallel to plane is required to start moving it up the incline?

#72. For a rectangle b=12 m, h=12 m, find I_x about an axis parallel to centroidal x-axis and offset by d=2 m using parallel-axis theorem.

#73. A simply supported beam span 17 ft carries a uniform load w=6 kip/ft over full span and a point load P=11 kip at 2 ft from A. Find reaction at B.

#74. A simply supported beam span 10 ft carries a uniform load w=4 kip/ft over full span and a point load P=9 kip at 4 ft from A. Find reaction at B.

#75. A simply supported beam span 13 m carries a uniform load w=8 kN/m over full span and a point load P=14 kN at 2 m from A. Find reaction at B.

#76. A simply supported beam span 17 m carries a uniform load w=4 kN/m over full span and a point load P=12 kN at 4 m from A. Find reaction at B.

#77. A rectangular plate 8m×10m has a centered rectangular hole 4m×9m. What is ȳ from the base?

#78. A block of weight 395 lb is on a 25° incline with μs=0.3. What minimum force parallel to plane is required to start moving it up the incline?

Statics –
High Difficulty