Question

The diagram shows components that have been added together to form Rx and Ry. Rx and Ry are the components of the resultant vector. Three vectors drawn on the x y plane. The first vector is drawn in the positive x direction along the x axis and labeled R Subscript x Baseline. The second is drawn tail to tip method north and labeled R Subscript y Baseline. The last is drawn from the tail of the first to the head of the second and labeled R. The angle between R and R Subscript x Baseline is labeled theta. Which formula can be used to find the magnitude of the resultant vector? R2 = Rx2 + Ry2 R = Rx + Ry R = Rx(cosθ) R = Rx(sinθ)

Answer 1

Answer: A

R2 = Rx2 + Ry2

Explanation:

To find the magnitude of resultant vector or resultant forces, we must first resolve the vectors into X component and Y component. That is,

The summation of all the vectors in the X direction will be Rx while

The summation of all the vectors in the Y direction will be Ry

The magnitude of the resultant vector R will therefore,

R^2 = Rx^2 + Ry^2