PHY 2171 – Lab 2 Worksheet Name: Access ID: Step 5 Vector Magnitude 1560 T Ū V W 13 12 11 12 13 Direction +30° from +x axis -60° from -x axis +15° from -x axis -15° from -y axis +70° from -y axis Calculations of x- and y-components: x-component y-component
The following problem involves the understanding of basic vector calculations. The x-component and y-component together forms the resultant vector with an included angle.
For a vector A in the 1st quadrant in the coordinate axes making an angle θ with the +x-axis, the components are
x-component = Acosθ
y-component = Asinθ
Now for the above,
1. For Vector
x-component = 13cos30 = 11.25
y-component = 13sin30 = 6.5
2. For Vector
x-component = 12cos(180-60) = -6
y-component = 12sin(180-60) = 10.39
3. For Vector
x-component = 11cos(180+15) = -10.62
y-component = 11sin(180+15) = -2.84
4. For Vector
x-component = 12cos(270-15) = -3.10
y-component = 12sin(270-15) = -11.59
5. For Vector
x-component = 13cos(270+70) = 12.21
y-component = 13sin(270+70) = -4.44
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