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Two forces, F ? 1 and F ? 2, act at a point, as shown in the picture. ( Figure 1

ID: 1280744 • Letter: T

Question

Two forces, F? 1 and F? 2, act at a point, as shown in the picture. (Figure 1) F? 1 has a magnitude of 9.80N and is directed at an angle of ? = 62.0? above the negative xaxis in the second quadrant. F? 2 has a magnitudeof 6.60N and is directed at an angle of ? = 53.3? below the negative x axis in the third quadrant.

What is the x component Fx of the resultant force? (expressed in Newtons)

What is the y component Fy of the resultant force? (expressed in Newtons)

What is the magnitude F of the resultant force? ( expressed in Newtons)

What is the angle ? 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. (expressed in degrees)

Two forces, F? 1 and F? 2, act at a point, as shown in the picture. (Figure 1) F? 1 has a magnitude of 9.80N and is directed at an angle of ? = 62.0? above the negative xaxis in the second quadrant. F? 2 has a magnitudeof 6.60N and is directed at an angle of ? = 53.3? below the negative x axis in the third quadrant. What is the x component Fx of the resultant force? (expressed in Newtons) What is the y component Fy of the resultant force? (expressed in Newtons) What is the magnitude F of the resultant force? ( expressed in Newtons) What is the angle ? 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. (expressed in degrees)

Explanation / Answer

F1 = -4.6 i + 8.65 j
F2 = - 3.944 i - 5.29 j

F = F1 + F2 = -8.544 i + 3.36 j

Fx - 8.544 i
Fy = 3.36 j

F mag = 9.18

with negative z axis ange l = 21.46 degrees

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