Resultant Force Components and Magnitude Calculation

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The discussion focuses on calculating the resultant force components and magnitude from two forces acting at a point. Force F_1 has a magnitude of 8.80 N at an angle of 65.0 degrees above the negative x-axis, while force F_2 has a magnitude of 5.80 N at an angle of 52.7 degrees below the negative x-axis. The participants seek to determine the x and y components of the resultant force, its overall magnitude, and the angle it forms with the negative x-axis. The calculations involve resolving each force into its components and applying vector addition. Understanding these principles is crucial for accurately determining the resultant force in physics problems.
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Two forces, F_1_vec and F_2_vec, act at a point, as shown in the picture. F_1_vec has a magnitude of 8.80 N and is directed at an angle of alpha = 65.0degree above the negative x-axis in the second quadrant. F_2_vec has a magnitude of 5.80 N and is directed at an angle of beta = 52.7 degrees below the negative x-axis in the third quadrant.

What is the x component F_x of the resultant force?

What is the y component F_y of the resultant force?

What is the magnitude F of the resultant force?

What is the angle gamma that the resultant force forms with the negative x axis? In this problem, assume that positive angles are measured clockwise from the negative x axis.
 
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