FIGURE 3-4 Refer to Figure 3-4 The magnitudes of the forces as shown in the figu
ID: 2044720 • Letter: F
Question
FIGURE 3-4Refer to Figure 3-4 The magnitudes of the forces as shown in the figure are:
F1 = 80.0 N, F2 = 60.0 N, and F3 = 40.0 N. The resultant force acting on the particle O is given by
180 N at an angle 60.0° with respect to +x-axis.
60.0 N at an angle 90.0° with respect to +x-axis.
20.0 N at an angle 34.3° with respect to +x-axis.
35.5 N at an angle 34.3° with respect to +x-axis.
40.0 N at an angle 60.0° with respect to +x-axis.
F1 is going in the +x and -y direction with an angle of 30 degrees
F2 is going in the positive y direction, right on the y axis
F3 is going in the -x direction, right on the x-axis
Explanation / Answer
total force in x direction.
180cos60+20cos34.3+35cos34.3+40cos60+80(f1)cos30-40(f3)= 184.71N
total force in y direction
180sin60+60+20sin34.3+35sin34.3+40sin60-80sin30+60=272.23 N
( 184.71)^2+(272.23 )^2 =328.98 N
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