Statics and Dynamics Quiz
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A bracket is subjected to a force F⃗=120 N\vec{F} = 120\,\text{N} acting at point P located at coordinates (3 m, 4 m)(3\,\text{m},\, 4\,\text{m}) from origin O. The force makes an angle of 30°30° above the positive x-axis. An engineer applies Varignon's theorem to compute the moment about O by decomposing F⃗\vec{F} into its x- and y-components.
Using Varignon's theorem, the moment about O can be written as MO=rxFy−ryFxM_O = r_x F_y - r_y F_x. A student sets up the calculation as MO=Fx(−4)+Fy(3)M_O = F_x(-4) + F_y(3), where the sign convention assigns counterclockwise as positive. Which of the following correctly evaluates MOM_O and identifies the physical meaning of the sign?
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