High School

Determine the magnitude of the component of force [tex]f = 94 \, \text{lb}[/tex] acting parallel to the diagonal AB of the crate.

Answer :

Final answer:

To determine the magnitude of the component of force parallel to diagonal AB of the crate, we can use the given information and the Pythagorean theorem. A free-body diagram shows a northward force of 64 N and a westward force of 38 N. The net force can be found by calculating the square root of the sum of the squares of these two forces.

Explanation:

To determine the magnitude of the component of force parallel to diagonal AB of the crate, we can use the given information and the Pythagorean theorem. A free-body diagram shows a northward force of 64 N and a westward force of 38 N. The net force can be found by calculating the square root of the sum of the squares of these two forces.



Step-by-step solution:

1. Calculate the squares of the two forces: 64 N2 and 38 N2.

2. Add the two squares together: 64 N2 + 38 N2.

3. Take the square root of the sum: sqrt(64 N2 + 38 N2).

4. The result is the magnitude of the component of force parallel to diagonal AB of the crate.

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