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# problem1_pdf - maini(nm7637 hw1 Shneidman(12108 This...

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maini (nm7637) – hw1 – Shneidman – (12108) 1 This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points Consider three force vectors vector F 1 , vector F 2 , and vector F 3 . The vector vector F 1 has magnitude F 1 = 57 N and direction θ 1 = 130 ; the vector vector F 2 has mag- nitude F 2 = 28 N and direction θ 2 = 140 ; and the vector vector F 3 has magnitude F 3 = 26 N and direction θ 3 = 120 . All the direction an- gles θ are measured from the positive x axis: counter-clockwise for θ > 0 and clockwise for θ < 0. What is the magnitude F of the net force vector vector F = vector F 1 + vector F 2 + vector F 3 ? Answer in units of N. 002 (part 2 of 2) 10.0 points What is the direction of the net force vector vector F ? State your answer as an angle θ between 180 and +180 . Answer in units of . 003 (part 1 of 2) 10.0 points Consider the two vectors vector M = ( a, b ) = a ˆ ı + b ˆ and vector N = ( c, d ) = c ˆ ı + d ˆ , where a = 4, b = 4, c = 3, and d = 3. a and c represent the x -displacement and b and d represent the y - displacement in a Cartesian xy coordinate system.

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