(Solved): As shown, a submarine hatch door is to be opened by applying two oppositely oriented forces of equa ...

As shown, a submarine hatch door is to be opened by applying two oppositely oriented forces of equal magnitude $F=150$ $\mathrm{N}$ at points $A$ and $B$ on the hatch door wheel. The radii of the wheel's inner and outer rings are $r_1=0.400\mathrm{m}$ and $r_2=0.130\mathrm{m}$, respectively. (Figure 1) Calculate the moments $M_A$ and $M_B$ about point $D$ for the forces applied at points $A$ and $B$. Then, determine the resulting couple moment $M_{\mathrm{R}}$. Assume that a positive moment produces a counterclockwise rotation whereas a negative moment produces a clockwise rotation. Express your answers numerically in newton-meters to three significant figures separated by commas.