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: Chapter 2. Problem 61P 39 Rookmarks Show all steps: ON Consider the free body diagram of the gate. 0.5 m F gly 0.0461 m 11: Chapter 2. Problem 61P 0 ON 29 Rockmaris Show all steps: Step 8 of 8 A Take moments about point M,=0 wx({cos 60°) +F_, Xy;-wsinto

when you are doing momentum in 2D when its not moving sum of force in x or y direction is 0 but this W*cos60 is not x or y direction and when they are taking momentum they are taking both F as y or x direction why is it like that?

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Answer #1

I think, you are confused with the moment part. Actually here, the moment of the forces is taken about point A.

Since moment is defined as (Force × perpendicular distance from the point about which moment is being taken)

Since W is acting donwards. And its perpendicular distance from point A will be (0.5 cos 60°). The same is taken there in the equation.

When you take the moment, there is no role for axis. Only thing to take care is the perpendicular distance from the force to the point of moment.

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