1 / 7

Vector Resolution (Component Method) of Finding the Resultant

Vector Resolution (Component Method) of Finding the Resultant. The vector resolution (component method) can be used to find the resultant in any situation, no matter the vectors’ orientation, or the number of vectors involved. A =A, θ A. B. B =B, θ B. A. A. C =C, θ C. C.

vachel
Download Presentation

Vector Resolution (Component Method) of Finding the Resultant

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Vector Resolution (Component Method) of Finding the Resultant The vector resolution (component method) can be used to find the resultant in any situation, no matter the vectors’ orientation, or the number of vectors involved.

  2. A=A, θA B B=B, θB A A C=C, θC C

  3. Each vector can be broken down into components. Honors: Component form: Ax = A cos θA Ay = A sin θA Bx = B cos θB By = B sin θB Cx = C cos θC Cy = C sin θC A=(Ax)x+(Ay)y B=(Bx)x+(By)y B By A Ay C=(Cx)x+(Cy)y Cx Ax Bx Cy

  4. The resultant horizontal magnitude can be found by adding all of the x components. The resultant vertical magnitude can be found by adding all of the y components. Rx=Ax+Bx+Cx Ry=Ay+By+Cy Ry By Ay Cx Ax Rx Bx Cy Honors: R=(Rx)x+(Ry)y (component form)

  5. The resultant can be obtained by adding the horizontal and vertical components of the resultant. R Ry Adjust angle if necessary. Rx

  6. Find the angle when: Rx= -1 Ry= +1 135° (2nd quadrant) Rx=-1 Ry=-1 225° (3rd quadrant)

  7. The correct quadrant must be double-checked. R 1st quadrant (0° to 90°): Rx= + Ry= + 2nd quadrant (90° to 180°): Rx=- Ry+ 3rd quadrant (180° to 270°): Rx= - Ry=- 4th quadrant (270° to 360°): Rx=+ Ry=- Ry Rx R Ry Rx Rx Ry R R Rx Ry

More Related