Find Resultant Force of F1,3 & F2,3 | .899 N Magnitude

In summary, the formula for finding the resultant force is F = √(Fx² + Fy²), and the x and y components of a force can be calculated using Fx = F * cosθ and Fy = F * sinθ, where θ is the angle between the force and the x-axis. The Pythagorean theorem can be used to find the resultant force, with the magnitude equal to the square root of the sum of the squares of the x and y components. The unit of measurement for resultant force is typically Newtons (N), and the direction can be found using the inverse tangent function (θ = tan⁻¹(Fy/Fx)).
  • #1
physicshelp45
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I need to find the resultant force for two separate forces - F1,3 and F2,3. F1,3's components are x= -.719 and y= -.54. F2,3's components are x= .719 and y= -.54. The angle between the q1-q3 line and the x-axis is 36.9. F1,3 and F2,3's magnitude is .899 N. Can someone help me?
 
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  • #2
Just add the components.
 

Related to Find Resultant Force of F1,3 & F2,3 | .899 N Magnitude

1. What is the formula for finding the resultant force?

The formula for finding the resultant force is F = √(Fx² + Fy²), where Fx and Fy represent the x and y components of the forces, respectively.

2. How do you calculate the x and y components of a force?

The x and y components of a force can be calculated using the following equations: Fx = F * cosθ and Fy = F * sinθ, where θ is the angle between the force and the x-axis.

3. Can you use the Pythagorean theorem to find the resultant force?

Yes, the Pythagorean theorem can be used to find the resultant force. The magnitude of the resultant force is equal to the square root of the sum of the squares of the x and y components of the force.

4. What is the unit of measurement for resultant force?

The unit of measurement for resultant force is typically Newtons (N), which is the standard unit for force in the International System of Units (SI).

5. How do you find the direction of the resultant force?

The direction of the resultant force can be found by using the inverse tangent (tan⁻¹) function. Simply take the inverse tangent of the y component divided by the x component (θ = tan⁻¹(Fy/Fx)). This will give you the angle between the resultant force and the x-axis.

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