Two forces, F_1_vec and F_2_vec, act at a point, as shown in the picture. (Figur

Question

Two forces, F_1_vec and F_2_vec, act at a point, as shown in the picture. (Figure 1) F_1_vec has a magnitude of 9.80{ m N} and is directed at an angle of alpha = 55.0^circ above the negative x axis in the second quadrant. F_2_vec has a magnitude of 6.00{ m N} and is directed at an angle of beta = 52.3^circ below the negative x axis in the third quadrant.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.

Explanation / Answer

F1= 9.8( cos 55 [-i] + sin 55 j ) = -5.62 i + 8.02 j F2= 6( -cos52.3 i - sin52.3 j ) = -3.66 i - 4.74 j Fnet= -9.28 i + 3.28 j angle made = 19.46 degrees

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