High School

We appreciate your visit to Determine the magnitude of force f if the rectangular components of force f x and f y are 250 lb and 165 lb respectively. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Determine the magnitude of force \( f \) if the rectangular components of force \( f_x \) and \( f_y \) are 250 lb and 165 lb, respectively.

Answer :

Final answer:

The magnitude of force F, given the rectangular components of force Fx and Fy, can be found using the Pythagorean theorem. For the given values of Fx = 250 lb and Fy = 165 lb, the magnitude of the resultant force F is approximately 299.5 lb.

Explanation:

To determine the magnitude of force F given the rectangular components of force Fx and Fy, which are 250 lb and 165 lb respectively, we use the Pythagorean theorem. As Fx and Fy are perpendicular to each other, the resulting force F can be found by taking the square root of the sum of the squares of the components:

F = √(Fx² + Fy²)

By plugging in the values:

F = √(250 lb² + 165 lb²) = √(62500 + 27225) = √(89725)

F ≈ 299.5 lb

Therefore, the magnitude of the applied force F is approximately 299.5 pounds.

Thanks for taking the time to read Determine the magnitude of force f if the rectangular components of force f x and f y are 250 lb and 165 lb respectively. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Final answer:

To determine the magnitude of force
f given the rectangular components of force
fx and
fy, we can use the Pythagorean theorem to calculate the magnitude of the force. The magnitude of the force is approximately 299.54 lb.

Explanation:

To determine the magnitude of force f, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the rectangular components of force, Fx and Fy, can be considered as the two sides of the triangle, and the magnitude of force, F, can be considered as the hypotenuse.

Using the given values, Fx = 250 lb and Fy = 165 lb, we can calculate the magnitude of force as follows:

  1. Square the values of Fx and Fy: Fx2 = (250 lb)2 = 62500 lb2 and Fy2 = (165 lb)2 = 27225 lb2.

  2. Add the squared values: Fx2 + Fy2 = 62500 lb2 + 27225 lb2 = 89725 lb2.

  3. Take the square root of the sum: √(62500 lb2 + 27225 lb2) ≈ 299.54 lb.

Therefore, the magnitude of force is approximately 299.54 lb.

Learn more about Magnitude of force here:

https://brainly.com/question/33958444

#SPJ11