Question

A force of 4n makes an angel of 30 degree with x-axis. Find the X and y component of the force

Answer 1

Answer:

As we have

Force = 4 N

Angle = 30°

X component =?

Y component =?

So

For X component

Fx = F cos(theta)

Fx= 4 × cos (30°) = 4 × 0.866

Fx= 3.464 ( X component)

And

For Y component

Fy = F sin(theta)

Fy = 4 × sin (30°) = 4 × 0.5

Fy = 2 (Y component)

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Answer 2

Answer:

A force of $4N$ makes an angle of $30$ degree with the x-axis. The X component of the force is $5.1N$ and Y component is $3N$

Explanation:

A vector is a physical quantity that has both magnitude and direction.

The resolution of a vector gives its different directions.

when a vector is inclined to $x-axis$ with an angle of θ, the component of that vector along $x-axis$ is given by

$F_{x} =F cos$θ

and the component of that vector along $y-axis$ is

$F_{y}=F sin$θ

From the question, it is given that the magnitude of the force is $F=4N$

and the angle of inclination is θ$=30$⁰ as shown in the figure.

now the component of force along $x-axis$ is $F_{x}=6*cos30=6*0.86=5.1N$

and the component of force along $y-axis$ is $F_{y}=6*sin30=6*0.5=3N$