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

x- component = Fx= 4N

y - component= Fy= 3N

Step-by-step explanation:

Fx=Fcos∅= 5cos 37= 3.99≅4N

Fy=F sin∅= 5 Sin37= 3.009≅3.01N

the dog pulls the pillow at an angle 37 degrees to the horizontal means it pulls it at an angle 37 degrees with the x- axis.if the line of the force represents the vector F then its horizonatal and vertical components wil be along x-axis and y-axis ie Fx and Fy.

as sin∅= Perpendicular/ Hypotenuse

but we have force F and Fy

so sin∅= Fy/F

or Fy= Fsin∅---------eqA

similarly cos∅= base /hpotenuse

cos∅= Fx/F

Fx= Fcos∅----------eq B

eq A and eq B can be used to determine the values of the rectangular components of the force making an angle with the horizontal