Question

Determine the components, the magnitude and the angle (counter-clockwise with respect to the positive x axis) of the resultant vector, R = B + C. Given: 0 Vector B: magnitude = 5.00 units, angle = 115 . 0 Vector C: magnitude = 4.00 units, angle = 255 .

Answer 1

Answer:

Explanation:

We shall represent vector B and C in terms of i and j .

B = 5 cos115 i + 5 sin115 j

= -2.11 i + 4.53j

Similarly

C = 4 cos255 i + 4 sin225 j

= -1.04 i -3.86 j

R = B + C

= -2.11 i + 4.53j  -1.04 i -3.86 j

= -3.15 i + .67 j

magnitude of R

= √( 3.15² + .67² )

= √( 9.92 +.45 )

= 3.22

Angle Ф

TanФ = - .67 / 3.15

= - .21

Ф = - 12⁰

= 180 - 12

= 168 degree counterclockwise from positive x axis.