cl MULTIPLE CHOICE. Choose the one alternative that best completes the statement

Question

cl MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. F, F, 7) Refer to figure above. The magnitudes of the forces as shown in the figure are Fy. 80.0 N,. 60.0 N, and origin) is given by -40.0 N. The resultant force acting on the particle 0(located at the A) 40.0 N at an angle 60.0' with respect to raxis. B) 20.0 N at an angle 34.3" with respect to r axis. C) 35.5 N at an angle 34.3" with respect to +raxis. 180 N at an angle 60.0" with respect to axis. E) 60.0 N at an angle 90.0" with respect to xaxis.

Explanation / Answer

C) 35.5 N at an angle 34.3° with respect to +x-axis.

Given

F1 = 80 N

F2 = 60 N

F3 = 40 N

Force along x-axis ======> Fx = F1*cos30 – F3 = 80*cos30 – 40 = 29.28 N (Along +x-axis)

And

Force along y-axis ======> Fy = F2 - F1*sin30 = 60 - 80*sin30 = 20 N (Along +y-axis)

Resultant magnitude = F = sqrt[Fx^2 + Fy^2] = 35.5 N

Direction = arctan(Fy/Fx) = arctan(20/29.28) = 34.3 degree

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