Force Vectors - General Questions (3)

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Force Vectors - General Questions

17.

pg2-25

Determine the projection of the position vector r along the aa axis.

A.	raa = 35.3 m
B.	raa = 6.28 m
C.	raa = 5.42 m
D.	raa = 5.61 m

Answer: Option C

Explanation:

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18.

pg2-14 (1)

Express the force F₁ in Cartesian vector form.

A.	F1 = (200 i - 200 j + 283 k) lb
B.	F1 = (200 i + 200 j + 283 k) lb
C.	F1 = (-200 i + 200 j + 565 k) lb
D.	F1 = (-200 i + 200 j + 283 k) lb

Answer: Option D

Explanation:

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19.

pg2-15

The ball joint is subjected to the three forces shown. Find the magnitude of the resultant force.

A.	R = 5.30 kN
B.	R = 5.74 kN
C.	R = 5.03 kN
D.	R = 6.20 kN

Answer: Option D

Explanation:

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20.

pg2-23

The cable AO exerts a force on the top of the pole of F = {—120i — 90j — 80k} lb. If the cable has a length of 34 ft, determine the height z of the pole and the location (x,y) of its base.

A.	x = 16 ft, y = 16 ft, z = 25 ft
B.	x = 12 ft, y = 9 ft, z = 8 ft
C.	x = 20 ft, y = 10 ft, z = 14 ft
D.	x = 24 ft, y = 18 ft, z = 16 ft

Answer: Option D

Explanation:

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21.

pg2-22

The antenna tower is supported by three cables. The forces in these cables are as follows: F_B = 520 N, F_C = 680 N, and F_D = 560 N. Write the resultant of these three forces as a vector.

A.	R = (4i +16j-72k) N
B.	R = (-120i +40 j-960k) N
C.	R = (560i +720j+1440k) N
D.	R = (80i +320j-1440k) N

Answer: Option D

Explanation:

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22.

pg2-14

Express the Force F₂ in Cartesian vector form.

A.	F2 = (155 i + 155 j + 300 k) lb
B.	F2 = (212 i + 212 j - 519 k) lb
C.	F2 = (155 i + 155 j - 300 k) lb
D.	F2 = (367 i + 367 j - 300 k) lb

Answer: Option D

Explanation:

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23.

pg2-12

If F₁ = F₂ = 30lb, determine the angles thetaa and phii so that the resultant force is directed along the positive x axis and has a magnitude of F_R = 20 lb.

A.	= = 70.5°
B.	= = 41.4°
C.	= = 19.47°
D.	= = 18.43°

Answer: Option A

Explanation:

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24.

pg2-17

Force F acts on peg A such that one of its components, lying in the x-y plane, has a magnitude of 50 lb. Express F as a Cartesian vector.

A.	F = (43.3 i + 25.0 j + 25.0 k) lb
B.	F = (43.3 i + 25.0 j + 28.9 k) lb
C.	F = (43.3 i - 25.0 j + 25.0 k) lb
D.	F = (43.3 i - 25.0 j + 28.9 k) lb

Answer: Option D

Explanation:

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Force Vectors - General Questions (3)

Force Vectors - General Questions

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