# ict01 - Version 024/AABCA – ict 01 – Turner –(92510 1...

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Unformatted text preview: Version 024/AABCA – ict 01 – Turner – (92510) 1 This print-out should have 3 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Four vectors, each of magnitude 29 m, lie along the sides of a parallelogram as shown in the figure. The angle between vector A and B is 69 ◦ . A 2 9 m C 29 m B 29 m D 2 9 m 69 ◦ What is the magnitude of the vector sum of the four vectors? 1. 190.043 2. 95.5986 3. 157.13 4. 245.941 5. 141.307 6. 305.747 7. 107.387 8. 267.436 9. 248.687 10. 87.0356 Correct answer: 95 . 5986 m. Explanation: Let : α = 69 ◦ and ℓ = 29 m . The vectors are vector B = vector C = ℓ ˆ ı and vector A = vector D = ( ℓ cos α ) ˆ ı + ( ℓ sin α ) ˆ , so vector A + vector B + vector C + vector D = 2 ℓ (1 + cos α )ˆ ı + 2 ℓ sin α ˆ = 2 (29 m) (1 + cos 69 ◦ ) ˆ ı + 2 (29 m) sin69 ◦ ˆ = (78 . 7853 m) ˆ ı + (54 . 1477 m) ˆ , and R = radicalBig (78 . 7853 m)...
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ict01 - Version 024/AABCA – ict 01 – Turner –(92510 1...

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