As shown, a submarine hatch door is to be opened by applying two oppositely orie

Question

As shown, a submarine hatch door is to be opened by applying two oppositely oriented forces of equal magnitude F=295N at points A and B on the hatch door wheel. The radii of the wheel's outer and inner rings are r_1 = 0.570m and r_2 = 0.290m , 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_{ m R}. Assume that a positive moment produces a counterclockwise rotation whereas a negative moment produces a clockwise rotation.

Explanation / Answer

Remember that a moment is an applied force multiplied by a perpendicular distance. The resulting couple is going to be the sum of the two moments. First multiply the force(F) at B by the perpendicular distance(r1). Then multiply the force(F) at A by the perpendicular distance(r1). Add these two together to get you resultant.

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