Question

a force of 20N is inclined at 30 degrees to the x-axis calculate the x and y component

Answer 1

20cos30 along x axis and 20 sin30 along y axis

Answer 2

Explanation:

Given that,

Force, F = 20 N

We need to find the x and y components of the force. The force is inclined at an angle of 30 degrees.

Its horizontal component is given by :

$F_x=Fcos\theta$

$F_x=20cos(30)$

$F_x=17.32\ N$

Its vertical component is given by :

$F_y=Fsin\theta$

$F_y=20sin(30)$

$F_y=10\ N$

So, the horizontal and vertical component of the force are 17.32 N and 10 N respectively. Hence, this is the required solution.