Question

ive already answered the x & y components can you fill in the rest of the blanks of the two charts remaining please? the first page is for reference. thank you!!

Lab 2 Vector Components and Vector Addition Lab Vectors A through H are given below Name: B-20 m A-15 m 30° 28° C-18 m 390 1240 D-25 m 224° E-30 m F-23 m 25° 307° 59° G-35 m H-10 m Fill in the table below with the x and y components of each vector.

Answer 1

we just need to add corresponding components and take the resultant

______________________

Here is the sample calculation for A + B

A_x + B_x = 13.2442 + 17.3205 = 30.5647

A_y + B_y = 7.04207 + 10 = 17.04207

so,

Resultant A + B = sqrt ( ( 30.5647)² + ( 17.04207)²)

Resultant A + B = 35

and

direction = arctan ( 17.04207 / 30.5647) = 29.14 degree

A + B = 35 and direction = 29.14

________________

A + C = 22.2 and direction = 81.76

________________

A + D = 39.827 and direction = 34.9

__________________

B + A = 35 and direction = 29.14

____________________

B + B = 40 and direction = 30 degree

____________________

B + C = 25.95 and direction = 73.76 degree

______________________

B + D = 44.86 and direction = 35 degree

________________________

C + A = 22.2 and direction = 81.76

_________________________

C + B = 25.95 and direction = 73.76 degree

__________________________

C + C = 36 and direction = 124 degree

In this case

direction = arctan ( 14.9227 / -10.0655) = - 56 degree ( second quadrant)

we need angle from + x -axis

so,

direction = 180 - 56 = 124 degree

_____________________________

C + D = 32 and direction = 73 degree

______________________________

D + A = 39.827 and direction = 34.9

___________________________

D + B = 44.86 and direction = 35 degree

_____________________________

D + C = 32 and direction = 73 degree

_____________________________

D + D = 50 and direction = 39 degree

_________________

The second table can be solved in exact same way