What is the Correct Magnitude of P in a System of Forces?

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SUMMARY

The forum discussion focuses on calculating the correct magnitude of force P in a system of forces, with the initial calculation yielding P = 22N, while the correct answer is 15.6N. Participants analyze the resultant moment about point O, using trigonometric functions and geometry to derive the correct values. Key points include the importance of accurately identifying coordinates and understanding the relationships between forces and their respective distances from point O.

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  • #31
My Yes was premature, sorry. The answer to my ""Did you find the x-coordinate of the leftmost point of the "horizontal line where it join all the 15N and 10N" ? (It is not -4 )"" is not (-6, 0) but -6.

It is a coordinate. It is related to the x coordinates of the points where the 10 and 15 N forces act.

The position vector of this leftmost point is of course ##(-6, 6\sqrt 3)##. ##\ \ \ (-6,0)## would be on the x-axis to the left of O.

Can you now calculate the x-coordinate of the point where the leftmost 10 N force is acting ? (it is not 1, it is not -3 and the y-coordinate ##6\sqrt 3## you used is correct.)

And we still have to fix the y-coordinate of the point where the force P is acting. (it is not ##6\sqrt 3## ).

Almost there ..

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  • #32
BvU said:
My Yes was premature, sorry. The answer to my ""Did you find the x-coordinate of the leftmost point of the "horizontal line where it join all the 15N and 10N" ? (It is not -4 )"" is not (-6, 0) but -6.

It is a coordinate. It is related to the x coordinates of the points where the 10 and 15 N forces act.

The position vector of this leftmost point is of course ##(-6, 6\sqrt 3)##. ##\ \ \ (-6,0)## would be on the x-axis to the left of O.

Can you now calculate the x-coordinate of the point where the leftmost 10 N force is acting ? (it is not 1, it is not -3 and the y-coordinate ##6\sqrt 3## you used is correct.)

And we still have to fix the y-coordinate of the point where the force P is acting. (it is not ##6\sqrt 3## ).

Almost there ..

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How to calculate the leftmost x coodrinate for 10N? it's shown in the diagram is 3m , right??
 
  • #33
I really can't understand why you can't make this drawing in more than a week's time. I have no idea what diagram you are talking about. The picture in post #1 is so extremely bad, it deliberately does not show anything as you have been told several times now. You should not use it, except to pick up the given values.

With the diagram you should have made below, it should not be too difficult now, I sincerely hope...

Do yourself a favour, finish the picture and write in the given numbers.

upload_2015-10-17_11-10-40.png
I, in turn, have deliberately :wink: misplaced P so that you at least have something left to do yourself to fix the (hopefully last) error in your calculation.

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