Question

274 and 264

also m2 a2 formula is different m1 a1

264) (H) Find magnitude and angle (deg) of the following vectors, where xx-component & y-y-component. Answers-M1, A1,M2, A2,M3, A3, M4, A4. Each M>0 and -180<A<180. The unit of A is degrees. x1-77.5; y1=71.8 - (M1,Al)! x2-38.2; y2-43.6 - (M2, A2) x3-70.4; y3=24.7 - (M3, A3) x4--11.1; y4--8.4 - (M4, 14) ans: 8

Answer 1

Dear Student, I have solved the first question with four sub-parts as per Chegg guidelines, post multiple question to get the remaining answers

264)

a) x1 = 77.5, y1 = 71.8

Magnitude, M = x + y = V77.52 + 71.82 = 105.6

Angle, A1 = tan-'4 = 42.58°

b) x2 = 38.2, y2 = -43.6

Magnitude, M2 = V x2 + yż = 38.22 + (-43.6)2 = 57.8

Angle, A2 = tan- -43.6 38.2 2-) = -48.770

c) x3 = -70.4, y3 = 24.7

Magnitude, M3 = V.23 + y} = (-70.4)2 + 23.72 = 74.3

Angle, Az = tan-+(24.7) = (180 – 19.33)° = 160.67° -70.4'
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d) x4 = -11.1, y4 = -8.4

Magnitude, MA = V x + y = (-11.1)2 + (-8.4)2 = 13.9

Angle, A4 = tan-1- ) = -142.88°
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Note - Post any doubts/queries in comments section.