Question

A dog pulls on a pillow with a force of 5 N at an angle of 37o to the horizontal. Find the x and y components of this force.​

Answer 1

Answer:

$x=3.99\ N\approx4\ N$

$y=3\ N$

Explanation:

Given :

Force with which dog pulls the pillow = 5 N

Angle of force to the horizontal = 37°

To find the $x$ and $y$ components of force.

Solution:

For a force $F$ making an angle $\theta$ with the horizontal, the

1) $x$ component or the horizontal component is given by:

$x=F\cos\theta$

2) $y$ component or the vertical component is given by:

$y=F\sin\theta$

Plugging the know values to find $x$ and $y$ components of force applied by the dog on pillow

1) $x=5\cos37\°$

∴ $x=3.99\ N\approx4\ N$ (Answer)

2) $y=5\sin37\°$

∴ $y=3\ N$ (Answer)