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The same couple moment of 160 lb⋅ft is required to open the hatch door, independent of where the couple's forces are applied. If the forces are applied at points C and D, what force magnitude [tex]F[/tex] is required to open the hatch door?

Answer :

Answer:

F = 88.88[lb-f]

Explanation:

To solve this problem, we must first look at the attached image.

Another important data that is needed to solve the problem is the distance from the Centre O to points C and D. The distance is 0.9 [ft].

Then we do a sum of moments around Point O and it equals zero.

[tex]SM_{O} =0\\F*0.9+F*0.9-160=0\\2*F*0.9=160\\F=88.88[lb-f][/tex]

Therefrore the couple of forces needed are 88.88[lb-f]

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