Consider the photo below of 3 forces. Solve for F3 if you know that F2 is 59.55 N. The angle for F1 and F2 is the same (22 degrees). Round to 1 decimal.

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Chapter1: Units, Trigonometry. And Vectors
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1. Consider the photo below of 3 forces. Solve for F3 if you know that F2 is 59.55 N. The angle for F1 and F2 is the same (22 degrees).

Round to 1 decimal.

The image depicts a vector diagram featuring three forces acting on a single point. 

1. **F1**: This force is represented by an arrow pointing diagonally upwards to the right. It originates from a central point where all forces intersect.

2. **F2**: This force is represented by an arrow pointing diagonally upwards to the left, originating from the same central point.

3. **F3**: This force is depicted by an arrow pointing directly downwards from the central intersection point.

The diagram also includes a labeled angle between the vectors F1 and F2, suggesting that these forces form an angle as they diverge from the central point. 

This type of diagram is commonly used to illustrate concepts such as vector addition and equilibrium of forces in physics, where the resultant force and angle between forces are often analyzed.
Transcribed Image Text:The image depicts a vector diagram featuring three forces acting on a single point. 1. **F1**: This force is represented by an arrow pointing diagonally upwards to the right. It originates from a central point where all forces intersect. 2. **F2**: This force is represented by an arrow pointing diagonally upwards to the left, originating from the same central point. 3. **F3**: This force is depicted by an arrow pointing directly downwards from the central intersection point. The diagram also includes a labeled angle between the vectors F1 and F2, suggesting that these forces form an angle as they diverge from the central point. This type of diagram is commonly used to illustrate concepts such as vector addition and equilibrium of forces in physics, where the resultant force and angle between forces are often analyzed.
Expert Solution
Step 1: Resolving forces along x-direction

Assuming equilibrium of the point, there should not any net force along x and y direction.

Net force along x-direction is zero.

F2sin(22) = F1sin(22)

F1=F2 = 59.55 N.

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