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.

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facundo3141592 facundo3141592 · Answer 1 · 2021-10-18T11:58:10+02:00

We want to find the components of a given force.

the answers are:

x-component = 3.99N

y-component = 3.01N

The force is of 5N and makes a 37° angle with the x-axis.

Then the components are just the legs of a right triangle with an hypotenuse of 5N.

x-component = 5N*cos(37°) = 3.99N

y-component = 5N*sin(37°) = 3.01N

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snehashish65 snehashish65 · Answer 2 · 2021-10-22T20:03:33+02:00

The horizontal component of pulling force is 3.99 N.

The vertical component of pulling force is 3.00 N.

Given data:

The magnitude of pulling force is, F = 5 N.

The angle of inclination is, [tex]\theta = 37^{\circ}[/tex].

The x-component of force is the horizontal component. And the expression for the horizontal component is,

[tex]F_{x}=Fcos\theta\\F_{x}=5 \times cos37\\F_{x}=3.99 \;\rm N[/tex]

Thus, the horizontal component of pulling force is 3.99 N.

The y-component of force is the vertical component. And the expression for the vertical component is,

[tex]F_{y}=Fsin\theta\\F_{y}=5 \times sin37\\F_{y}=3.00 \;\rm N[/tex]

Thus, the vertical component of pulling force is 3.00 N.

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