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Anestetic [448]
2 years ago
12

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?

Physics
2 answers:
Umnica [9.8K]2 years ago
7 0

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

Artemon [7]2 years ago
6 0
The angle is 26.56 degrees
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