Question

A vector R is resolved into its components, Rx and Ry. If the ratio of is 2, what is the angle that the resultant makes with the horizontal?

Answer 1

the angle is 26.56 degrees

Answer 2

Answer: The angle formed will be 26.56° .

Explanation: Vector R is resolved in two components, which are $R_x$ and $R_y$, the resultant R is given by:

$R=\sqrt{R_x^2+R_y^2$

From the diagram, the ratio of $R_y\text{ and }R_x$ is given by the equation:

$\tan\theta=\frac{R_y}{R_x}$

We are given the ratio of $R_x\text{ and }R_y$ which is 2, so ratio of $R_y\text{ and }R_x$ will be $\frac{1}{2}$

$\frac{R_y}{R_x}=\frac{1}{2}$

Putting value in $\tan\theta$ equation, we get:

$\tan\theta =\frac{1}{2}\\\\\theta=\tan^{-1}(0.5)\\\\\theta=26.56^o$