can you please answer these questions F1 120 N F2 80N 60 FIGURE 3-1 Two forces a

Question

can you please answer these questions

F1 120 N F2 80N 60 FIGURE 3-1 Two forces are acting on an object as shown in Fig. 3-1. What is the magnitude of the resultant force? Two forces are acting on an object as shown in Fig. 3-1. What is the direction of the resultant force? Show your work. (4 points) positive x-axis, first. Then find the x Hint: You need to find the angle of Vector F2 with resultant then and y components of the two vectors. Find the x and y components of the find the magnitude and direction of resultant for the next two questions. 2 poi

Explanation / Answer

6) Taking to the right as +x axis and up as +y axis .

F1 = 120 cos60 i + 120 sin60 j = 60 i + 103.92 j N

F2 = - 80 cos75 i + 80 sin70 j = - 20.7 i + 75.2 j N

Fnet = F1 + F2 = 39.3 i + 179.12 j N

magnitude = sqrt(39.3^2 + 179.12^2) = 183.4 N ...............Ans

Direction = tan^-1(179.12 / 39.3) = 77.6 deg to the right upward

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x = 2(-2,1) - (1,3) + 3(2,-1)

x = (-4, 2) - (1, 3) + (6, -3)

x = (1 , -4)

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