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Unformatted text preview: directions. We have that ( A + B ) x = A x + B x = -5.18m + 15.0m = 9.8m , and ( A + B ) y = A y + B y = 19.3m + -5.00m = 14.3m , and ( A- B ) x = A x- B x = -5.18m - 15.0m = -20.2m , and ( A- B ) y = A y- B y = 19.3m - -5.00m = 24.3m . So A + B = 9.8m i + 14.3m j and A – B = -20.2m i + 24.3m j . Or | A + B | = [(9.8m) 2 + (14.3m) 2 ] = 17.3m and A 15.0 o A x A y B x B x B θ | A- B | = [(20.2m) 2 + (24.3m) 2 ] = 31.6m , and θ 1 = tan-1 (14.3m / 9.8m) = 55.6 o , and θ 2 = tan-1 (24.3m / 20.2m) = 50.3 o . A + B = 17.3m at an angle of 55.6 o above the x-axis, and A – B = 31.6m at an angle of 50.3 o above the -x-axis....
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This note was uploaded on 09/25/2011 for the course PHYSICS 22 taught by Professor Lomant during the Spring '11 term at Georgia Perimeter.
- Spring '11